the perimeter of a rectangle is 700 feet. let x represent the width of the rectangle. write a quadratic function for the area a of the rectangle in terms of its width.

Answers

Answer 1

The perimeter of a rectangle is 700 feet. A quadratic function for its area in terms of its width is A(w) = 350w - w²

The formula for the perimeter of a rectangle is given by:

p = 2w + 2l

While its area is:

A = w x l

Where:

w = width

l = length

Substitute p = 700 ft.,

700 = 2w + 2l

700 = 2(w + l)

w + l = 350

l = 350 - w

Substitute l = 350 - w into the formula of area:

A = w x l

A = w (350 - w)

A(w) = 350w - w²

Hence, the expression is: A(w) = 350w - w²

Learn more about rectangle here:

https://brainly.com/question/16239445

#SPJ4


Related Questions

The floor of a rectangular room is to be covered with tiles 1-foot sides. The floor of the room is 18 feet long and 12 feet wide. How much would it cost at $4 a tile?

Answers

The cost for the flooring of the rectangular room is $864.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Dimension of each time = 1 foot

Length of the room = 18 feet

Width of the room = 12 feet

Number of tiles needed for the room = 18 × 12 = 216

Cost of one tile = $4

Total cost for the tile = 216 × $4 = $864

Hence the total cost for the tiles is $864.

Learn more about Multiplication here :

https://brainly.com/question/24327297

#SPJ1

Graph the line y=−54x−3.

Use the line tool and select two points on the line.

Answers

The two points on the line y = − 54x − 3 will be (1, −57) and (−1, 51).

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

y = − 56x − 4

Let x = 1, the value of y will be

y = − 54 (1) − 3

y = − 54 − 3

y = − 57

Let x = − 1, the value of y will be

y = − 54(−1) − 3

y = 54 − 3

y = 51

The two points on the line y = − 56x − 4 will be (1, −57) and (−1, 51). Then the diagram of the line is given below.

To learn more about the equation visit:

brainly.com/question/545403

#SPJ1

Read the following prompt and type your response in the space provided.
Explain how to model the division of –24 by –4 on a number line.

Answers

To model the division of -24 by -4 on a number line, we can start at -24 and move to the left by -4 units at a time, counting the number of times we move until we reach 0.

How to explain the number line?

A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that each real number and each point on a number line correspond to one another.

Since -24 divided by -4 is 6, we would move to the left 6 times and end at 0 on the number line. The negative signs of the dividend and divisor indicate that the quotient will be a negative number.

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

NO LINKS!!!

Find the solution set for each inequality.

Answers

Answer:

41.  (-∞, -1] ∪ [2, 3)

42.  (2, 5) ∪ (5, ∞)

Step-by-step explanation:

Question 41

Given rational inequality:

[tex]\dfrac{x^2-x-2}{x-3} \leq 0[/tex]

Factor the numerator:

[tex]\dfrac{(x-2)(x+1)}{x-3} \leq 0[/tex]

Find the roots by solving f(x) = 0  (set the numerator to zero):

[tex]\implies (x-2)(x+1)=0[/tex]

[tex]\implies x-2=0 \implies x=2[/tex]

[tex]\implies x+1=0 \implies x=-1[/tex]

Find the restrictions by solving f(x) = undefined  (set the denominator to zero):

[tex]\implies x-3=0 \implies x=3[/tex]

Create a sign chart, using closed dots for the roots and open dots for the restrictions (see attachment 1).

Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.

Test values: -2, 0, 2.5, 4

For each test value, determine if the function is positive or negative:

[tex]f(-2)=\dfrac{(-2)^2-(-2)-2}{(-2)-3} =\dfrac{+}{-}=-[/tex]

[tex]f(0)=\dfrac{(0)^2-(0)-2}{(0)-3} =\dfrac{-}{-}=+[/tex]

[tex]f(2.5)=\dfrac{(2.5)^2-(2.5)-2}{(2.5)-3} =\dfrac{+}{-}=-[/tex]

[tex]f(4)=\dfrac{(4)^2-(4)-2}{(4)-3} =\dfrac{+}{+}=+[/tex]

Record the results on the sign chart for each region (see attachment 1).

As we need to find the values for which f(x) ≤ 0, shade the appropriate regions (zero or negative) on the sign chart (see attached).

Therefore, the solution set is:

x ≤ -1 or 2 ≤ x < 3

As interval notation:

(-∞, -1] ∪ [2, 3)

Question 42

Given rational inequality:

[tex]\dfrac{\sqrt{x}}{(x-2)|x-5|} > 0[/tex]

Find the roots by solving f(x) = 0  (set the numerator to zero):

[tex]\implies \sqrt{x}=0 \implies x=0[/tex]

Find the restrictions by solving f(x) = undefined  (set the denominator to zero):

[tex]\implies (x-2)|x-5|=0[/tex]

[tex]\implies x-2=0 \implies x=2[/tex]

[tex]\implies |x-5|=0 \implies x=5[/tex]

Create a sign chart, using closed dots for the roots and open dots for the restrictions (see attachment 1).

Choose a test value for each region, including one to the left of all the critical values and one to the right of all the critical values.

Test values: -1, 1, 3, 6

For each test value, determine if the function is positive or negative:

[tex]f(-1)=\dfrac{\sqrt{-1}}{(-1-2)|-1-5|}=\dfrac{\sf unde\:\!fined}{-}=\sf unde\:\!fined[/tex]

[tex]f(1)=\dfrac{\sqrt{1}}{(1-2)|1-5|}=\dfrac{+}{-}=-[/tex]

[tex]f(3)=\dfrac{\sqrt{3}}{(3-2)|3-5|}=\dfrac{+}{+}=+[/tex]

[tex]f(6)=\dfrac{\sqrt{6}}{(6-2)|6-5|}=\dfrac{+}{+}=+[/tex]

Record the results on the sign chart for each region (see attachment 2).

As we need to find the values for which f(x) > 0, shade the appropriate regions (positive) on the sign chart (see attached).

Therefore, the solution set is:

2 < x < 5 or x > 5

As interval notation:

(2, 5) ∪ (5, ∞)

In the pattern below, the cat moves clockwise through the four squares, and the mouse moves counterclockwise through the eight exterior segments of the four squares.
If the pattern is continued, where would the cat and mouse be after the 247th move?

Answers

Only setup A places the mouse on the bottom right square and the cat there.

The pattern is continued, so we have to define where the cat and mouse would be after the 247th move.

Divide the issue into two parts: the location of the mouse and the location of the cat after the 247th move.

Every cycle, which consists of four different positions for the cat, is repeated once every four movements. When 247 is divided by 4, the remainder is 3. This matches the bottom right corner, where the cat is located after the third move.

Similar to the mouse, which repeats every eight moves, the mouse has eight possible places in a single cycle. When 247 is divided by 8, the remainder is 7. This matches the rat's bottom left corner position after the seventh motion.

The only configuration with the cat in the bottom right square and the mouse in that position is A.

To learn more about solving the pattern link is here

brainly.com/question/14396991

#SPJ4

The complete question is given below:

Complete the calculation in step 3 and drag the appropriate solute amounts to the ECF and ICF columns. Drag the appropriate labels to their respective targets.

Answers

The types of solutes and their distribution between the ICF and ECF are not the same for the appropriate solute amounts to the ECF and ICF columns.

Intracellular fluids are fluids found inside the cell's cytoplasm while extracellular fluid are fluids the flow outside the cells which consist of plasma, interstitial and trancellular fluid

The types of solutes and their distribution between the ICF and ECF are not the same because intracellular fluid of the cystosol is composed of water, dissolved ions, small molecules, and large, water-soluble molecules while extracellular fluid consist of plasma, interstitial fluid and cytosol have high potassium concentration and low sodium Concentration.

learn more about of amount here

https://brainly.com/question/17312247

#SPJ4

What is the constant of proportionality in this proportional relationship?

X 2 2/1 3 3 1/2
Y 5/2 25/8 15/4 35/8

Answers

The constant of proportionality in this proportional relationship is 5/4.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Let the proportional equation be y ∝ x.

y = kx

From the table,

When x = 2, y = 5/2

This means,

5/2 = 2k

k = (5/2)/2

k = 5/4

Now,

When x = 2(1/2), y = 25/8

k = y/x

k = (25/8)/(5/2)

k = 25/8 x 2/5

k = 5/4

We see that,

k = 5/4

Thus,

The constant of proportionality is 5/4.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

A file that is 237 megabytes is being downloaded. If the download is 17.6% complete, how many megabytes have been downloaded?

Answers

Answer:

Step-by-step explanation:

The answer is 42 MB.If it's round to nearest tenth than it's 40 MB

Which of the values make 4x<45 true?

A 12
B. 11
C. 13.5
D. 16

Answers

Answer: B - 11

Step-by-step explanation:  Hello! How you can do this is by substituting A, B, C, and D for x.

D:

4(16)<45
64<45

64 is not less than 45, so this is false.  D is not the answer.

C:
4(13.5)<45
54<45

54 is not less than 45, so this is false.  C is not the answer.

A:
4(12)<45
48<45

48 is not less than 45, so this is false.  A is not the answer.

B:
4(11)<45
44<45

44 is less than 45 so this is true.

The answer is B - 11.

Help me ASAP math question.

Answers

The client should invest $8889 in AAA bonds, $4444 in A bonds, and $5667 in B bonds.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 = 8 is an equation.

We have,

Amount invested in AAA bond = 2x

Amount invested in A bond = y

Amount invested in B bond = x

Now,

Average yield:

AAA bond = 4%

A bond = 5%

B bond = 8%

Now,

Total amount = $19,000

Total yield = $990

Now,

Two equations can be made:

2x + y + x = 19000

3x + y = 19000 _____(1)

0.04 x (2x) + 0.05 x y + 0.08x = 990

0.08x + 0.05y + 0.08x = 990

0.16x + 0.05y = 990 ______(2)

From (1) and (2),

3x = 19000 - y

x = (19000 - y)/3

Substituting in (2)

0.16 x (19000 - y)/3 + 0.05y = 990

0.053 x 19000 - 0.053y + 0.05y = 990

1007 - 0.003y = 990

1007 - 990 = 0.003y

y = 17/0.003

y = 5666.6

y = 5667

Now,

x = (19000 - y)/3

x = (19000 - 5667)/3

x = 4444.333

x = 4444

Now,

x = $4444

y = $5667

2x = $8889

Thus,

Amount invested in AAA bond = $8889

Amount invested in A bond = $5667

Amount invested in B bond = $4444

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals).
P(z ? -1.0)
P(z ? -1.0)
P(z ? -1.5)
P(z ? -2.5)
P(-3 < z ? 0)

Answers

Computed the probabilities P(z < -1.0)=0.1587, P(z > -1.0)=0.8413, P(z < -1.5)=0.0668, P(z < -2.5)=0.0062, P(-3 < z < 0)=0.4987.

What is deviation ?

Deviation refers to how far a value or set of values is from the mean or average. In statistics, the standard deviation is a measure of the spread of a dataset, calculated as the square root of the variance. It represents the average distance of each data point from the mean. A low standard deviation indicates that the data points tend to be close to the mean.

To compute the probabilities for a standard normal random variable, we can use a standard normal table or a calculator with standard normal distribution functions.

P(z ? -1.0) = P(z < -1.0) = 0.1587

P(z ? -1.0) = P(z > -1.0) = 1 - 0.1587 = 0.8413

P(z ? -1.5) = P(z < -1.5) = 0.0668

P(z ? -2.5) = P(z < -2.5) = 0.0062

P(-3 < z ? 0) = P(-3 < z < 0) = P(z < 0) - P(z < -3) = 0.5 - 0.0013 = 0.4987,

Computed the probabilities P(z < -1.0)=0.1587, P(z > -1.0)=0.8413, P(z < -1.5)=0.0668, P(z < -2.5)=0.0062, P(-3 < z < 0)=0.4987.

To learn more about deviation visit : brainly.com/question/23907081

#SPJ4

pls help me with this 4(x−2+y)

Answers

Answer: 4x + 4y - 8

Step-by-step explanation:

4(x−2+y)

4x -8 +4y

4x + 4y - 8

When using the multiplication method, it is important to multiply all the terms on both sides of the equation—not just the one term you are trying to eliminate

Answers

As per the elimination method, in order to solve a system of equations when multiplication is necessary to eliminate a variable.

The term equation is known as algebra is a statement of equality that contains one or more unknown quantities or variables.

Here we have given that When using the multiplication method, it is important to multiply all the terms on both sides of the equation, then here we do not just the one term you are trying to eliminate.

According to the rule of elimination method we all know while solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation.

So in order to multiplying to solve linear systems is to find a number to multiply to one or both of the equations so that the x or y terms in one of the equations will have opposite coefficients from the x or y in the other equation.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

Of the following statements, which one or ones describe actions harmful to your credit score?

I. Owing a lot of money
II. Having many lines of credit
III. Making steady payments

Answers

Answer:

I

Step-by-step explanation:

owing a lot of money bc it hurts your credit score

13.) 5x − 2 – (8x − 1) =
14.) 1-(2-x) =
15.) 2x + 1 + (x + 3) =
16.) -1(3 + 2x) =​

Answers

An equation is said to be linear if each term has a maximum of one degree.The system of linear equations is solved by (2,6).

What is a linear equation?

An equation is said to be linear if each term has a maximum of one degree.

It is possible to formulate linear equations in the form y=mx+c.

A straight line results from a linear equation with two variables when its axes are plotted on the cartesian plane.

When the second equation for x is solved,

x + 5y = 32

x = 32 - 5y

Add the value of x to the first equation now,

2(32 - 5y) + 5y = 34

64 - 10y + 5y = 34

-5y = -30

y = 6

the value of y should be replaced in any one of the equations,

x + 5y = 32

x + 5(6) = 32

x = 2

Consequently, the system of linear equations' solution is (2,6).

To learn more about  linear equations refer

https://brainly.com/question/25858757

#SPJ1

Simplify. Need ASAP. show work

Answers

The solutions to the simplification of the following surds are:[tex]-12\sqrt[3]{3}+4\sqrt[3]{2}[/tex] and [tex]-5x^2 y^2\sqrt[3]{3x^2y^2}[/tex]

Simplification of surd forms:

A number without a root is simply referred to as a surd. These surds illustration comprises fractions as powers if presented in exponential form. There are three main forms of surds, according to the definition of surds.

Pure surds, which are surds that include just one irrational number. Surd that comprises both rational and irrational numbers is called Mixed surds. Compound surds are two surds combined into one.

The simplification of the given surds is carried out as follows:
[tex]-2\sqrt[3]{81} +2\sqrt[3]{16}-2\sqrt[3]{81}[/tex]

Factor 27 out of 81

[tex]-2\sqrt[3]{27*3} +2\sqrt[3]{16}-2\sqrt[3]{27*3}[/tex]

Rewrite it as 3³*3

[tex]-2\sqrt[3]{3^3*3} +2\sqrt[3]{16}-2\sqrt[3]{3^3*3}[/tex]

Rearrange and simplify

[tex]-2\sqrt[3]{3^3*3} -2\sqrt[3]{3^3*3}+2\sqrt[3]{16}[/tex]

Pull term out from the radical

[tex]-2*3\sqrt[3]{3} -2*3\sqrt[3]{3}+2\sqrt[3]{16}[/tex]

[tex]-6\sqrt[3]{3} -6\sqrt[3]{3}+2\sqrt[3]{16}[/tex]

Rewrite 16 as 2³*2

[tex]-6\sqrt[3]{3} -6\sqrt[3]{3}+2\sqrt[3]{2^3*2}[/tex]

Pull term out of the radical

[tex]-6\sqrt[3]{3} -6\sqrt[3]{3}+2*2\sqrt[3]{2}[/tex]

[tex]-6\sqrt[3]{3} -6\sqrt[3]{3}+4\sqrt[3]{2}[/tex]

Simplify altogether;

[tex]-12\sqrt[3]{3}+4\sqrt[3]{2}[/tex]

In [tex]\sqrt[3]{-375x^8y^8}[/tex]; simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers.

[tex]\sqrt[3]{(-5) ^3(x^2)^3 (y^2)^3*3x^2y^2}[/tex]

[tex]\sqrt[3]{(-5x^2y^2) ^3*3(x^2y^2)}[/tex]

[tex]-5x^2 y^2\sqrt[3]{3x^2y^2}[/tex]

Learn more about the simplification of surds here:

https://brainly.com/question/27743084

#SPJ1

Emma is buying a gift for her mother's birthday. She purchases flowers and a gift certificate that cost a total of $68, not including tax. If the cost of the gift certificate is $14 more than 2 times the cost of the flowers, what is the cost of the flowers? Set up a system of equations, then solve using a matrix.

Answers

The cost of the flowers she bought for her mum alone would be = $18

How to calculate the cost of flowers?

The items purchased by Emma = flowers and a gift certificate.

The total cost of the flowers and a gift certificate = $68

But, cost of gift certificate= $14 +2x

cost of flower = X

That is 14 + 2x + X = 68

2x + X = 68 - 14

3X = 54

X = 54/3

X= $18

Learn more about multiplication here:

https://brainly.com/question/28768606

#SPJ1

Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0

Answers

An equation 6(2x+4)²=(2x+4)+2 has degree 2, so it is quadratic equation. Therefore, option D is the correct answer.

What is a quadratic function in standard form?

The standard form of a quadratic equation is given as:

ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.

Quadratics are the polynomial equation which has highest degree of 2.

A) x⁴-6x²-27=0

Here, the highest degree is 4 so, it is biquadratic equation.

B) 3x⁴=2x

3x³=2

Here, the highest degree is 3 so, it is cubic equation.

C) 2(x + 5)⁴+2x²+5=0

Here, the highest degree is 4 so, it is biquadratic equation.

D) 6(2x+4)²=(2x+4)+2

6(4x²+16x+16)=(2x+4)+2

24x²+96x+96=2x+4+2

24x²+94x+90=0

Here, the highest degree is 2 so, it is quadratic equation.

E) 6x⁴= -x²+5

6x⁴+x²+5=0

Here, the highest degree is 4 so, it is biquadratic equation.

F) 8x⁴+2x²-4x=0

Here, the highest degree is 4 so, it is biquadratic equation.

Therefore, option D is the correct answer.

Learn more about quadratic function here:

brainly.com/question/5428105.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

Select all of the following equation(s) that are quadratic in form.

a) x⁴-6x²-27=0

b) 3x⁴=2x

c) 2(x + 5)⁴+2x²+5=0

d) 6(2x+4)²=(2x+4)+2

e) 6x⁴= -x²+5

f) 8x⁴+2x²-4x=0

billy makes $20 a week in allowance plus $5 for each lawn that he mows. this week billy wants to make over $50. select the inequality for the number of lawns he needs to mow.

Answers

The inequality for the number of lawns he needs to mow is: $50 < $20 + $5n

The correct answer is an option (b)

Let n represents the number of lawns he needs to mow.

Here, Billy needs to make more than $50 between his allowance and the lawns that he mows. This means that an inequality should include 50 <

As Billy will make $5  for each lawn that he mows, for 'n' number of lawns the cost would be = 5n

Based on the mentioned conditions we formulate an inequality,

50 < 20 + 5n

20 + 5n > 50

20 + 5n - 20 > 50 - 20             ...........(subtract 20 from each side)

5n/5 > 30/5                      .............(divide each side by 5)

n > 6

This means, he needs to mow more that 6 lawns.

Learn more about an inequality here:

https://brainly.com/question/28816565

#SPJ4

The complete question is:

Billy makes $20 a week in allowance plus $5 for each lawn that he mows. this week billy wants to make over $50. select the inequality for the number of lawns he needs to mow.

a) $50 < $20+$5

b) $50 > $20+$5n

c) $50 < $20n+$5

d) $50 > $20n+$5

e) $50 < $20+$5n

Helpppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

Its the second one

Answer: -1/3 > -2/5

Step-by-step explanation:

If we put them as common denominators we can solve this. To do that look at this:

-1/3 = -5/15
-2/5 = -6/15
So we can see that -2/5 is smaller

I hope this was able to help you :D

How do u solve: 4x-(9-3x)=8x-1

Answers

Answer:

x=-8

Brief explanation:

Well I simplify first

4x-(9-3x)=8x-1

4x-9+3x=8x-1

then you do this operation called collecting similar terms

4x+3x-9=8x-1

7x-9=8x-1

7x-8x=-1+9

7x-8x=8

-x=8

x=-8 should be ur solution

--

Answer:

[tex] \sf \: x = - 8[/tex]

Step-by-step explanation:

Given equation,

→ 4x - (9 - 3x) = 8x - 1

Now the value of x will be,

→ 4x - (9 - 3x) = 8x - 1

→ 4x - 9 + 3x = 8x - 1

→ (4x + 3x) - 9 = 8x - 1

→ 7x - 9 = 8x - 1

→ 7x - 8x = -1 + 9

→ -x = 8

→ [ x = -8 ]

Hence, the value of x is -8.

#8 i need help with this problems.

Answers

ΔABD and ΔBCD are congruent by AAS congruence theorem.

The proof is given below.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure below,

ΔABD and ΔBCD are congruent.

∠BCD = ∠BAD [ 90 degrees ]

∠CDB = ∠ABD [ alternate angles ]

BD = BD [ Common ]

ΔABD ≈ ΔBCD [ AAS ]

Thus,

ΔABD and ΔBCD are congruent by AAS congruence theorem.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

The label on a car's antifreeze container claims to protect the car at temperatures greater than −40°C and less than 140°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car

Answers

Answer:

-40F to 284F

Step-by-step explanation:

C = 5/9F -32

so F = 32+9/5*C

so the range is

F= 32+9/5*(-40) = 32-72 = -40F

F= 32+9/5*(140) = 32+252 = 284F

If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?

Answers

The numbered spot at which all the runners will be next to one another is spot 19.

What is the LCM?

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

To learn more about the LCM;

https://brainly.com/question/20739723

#SPJ1

a white cylindrical silo has a diameter of $30$ feet and a height of $80$ feet. a red stripe with a horizontal width of $3$ feet is painted on the silo, as shown, making two complete revolutions around it. what is the area of the stripe in square feet?

Answers

So, the area of the stripe is 394.25= 282.75 square feet.

Silo Stripe Area Calculation

The stripe is a rectangle, with a width of 3 feet and a length that is the circumference of the cylinder. The diameter of the cylinder is 30 feet, so the circumference is 30pi=94.25 feet. So, the area of the stripe is 394.25= 282.75 square feet.

The white cylindrical silo has a red stripe painted on it, which makes two complete revolutions around the silo. The stripe is a horizontal rectangle with a width of 3 feet and a length equal to the circumference of the cylinder, which is calculated by multiplying the diameter of 30 feet by pi. The area of the stripe is the width of 3 feet multiplied by the length of 94.25 feet, which equals 282.75 square feet.

Learn more about Silo Stripe Area Calculation here:

https://brainly.com/question/16057589

#SPJ4

Suppose that y varies directly with x, and y=4 when x=20. (a) Write a direct variation equation that relates and y Equation: (b) Find y when x=9. y=​

Answers

Answer:

(a) Since y varies directly with x, hence, y = kx, where k is a constant.

(b) When x = 20, y = 4

    20k = 4

     ∴ k = 0.2

∴ When x = 9,

y = 9(0.2)

y = 1.8

the base company has assets other than investment securities, that cost $50,000. The current market value of the assets is $75 million. The assets will be recorded and reported as assets at

Answers

As the company asset other than investment securities cost $50,000 and market value of the assets is $75 million. The assets will be recorded and reported as at $75,050,000.

How are asset recorded and reported?

An asset is a resource with monetary value that an individual, corporation, or country owns or controls with the expectation of future benefit. An asset is anything that can generate cash flow, reduce expenses, or increase sales in the future, whether it's manufacturing equipment or a patent.

A company's assets are reported on its balance sheet. They are divided into four categories: current, fixed, financial, and intangible. They are purchased or created in order to increase the value of a company or to benefit its operations.

The reported asset of the company will be:

= $50,000 + $75 million

= $75,050,000

Read more about asset

brainly.com/question/11556132

#SPJ1

The store owner put 10 Tshirts on clearance. The Tshirts were originally priced at $22.00 each. The owner marked down the price of the Tshirts by 40%.

How much money did the store owner receive for selling all 10 Tshirts?

Answers

Answer:

$132

Step-by-step explanation:

Looks like $22.00 was the price at 100%

The owner marks the price down by 40%, making the total price 60% of $22 because 100%-40% is 60%

We can set up a ratio

60%. X

-------. =. ------

100%. $22

Cross multiplying makes it (100)(x) = (60)(22)

100x = 1,320

Dividing both by 100 to get X alone

x = 13.2

Each shirt is now $13.20

Last, but not least, we multiply by 10 because he sold 10 shirts

= $132

4. Juan cotiza un motor generador de ondas estacionarias para cuerdas en 50 almacenes
eléctricos. Obteniendo los siguientes datos:
300 mil pesos en un almacén y esta con el 10% de descuento; en el almacén dos, costaba 400
mil pesos con un 14% de descuento; en el almacén 3, tenía un costo de 500 mil pero le bajaban
el 20%, en el cuarto almacén, valía 700 mil pesos pero rebajan el 22%; en el almacén 5, costaba
750 mil pesos con un 12% de descuento; en el almacén 6, tenía un precio de 800 mil y le
bajaban el 10%; en el séptimo almacén, tiene un precio de 1000 y le hacen el descuento del 6%;
en almacén 8, cuesta 1200 y bajan el 4%; en el último almacén cobran 1500 y hacen el 2% de
rebaja.

Answers

De acuerdo con lo anterior, la respuesta correcta serían 270,000 es el precio más bajo que obtuvo para comprar un motor generador de ondas estacionarias para cuerdas en el primer almacén.

¿Cómo calcular cuál almacén le ofrece el precio más bajo a Juan?

Para calcular cuál es el almacén que le ofrece el precio más bajo a Juan debemos identificar a cuanto equivale el descuento y restarlo del precio total. Cuando sepamos el precio final comparamos para saber cuál de todos es el menor.

300,000 / 100 = 3,000

3,000 * 10 = 30,000

300,000 - 30,000 = 270,000

400,000 / 100 = 4,000

4,000 * 14 = 56,000

400,000 - 56,000 = 344,000

500,000 / 100 = 5,000

5,000 * 20 = 100,000

500,000 - 100,000 = 400,000

700,000 / 100 = 7,000

7,000 * 22 = 154,000

700,000 - 154,000 = 546,000

750,000 / 100 = 7,500

7,500 * 12 = 90,000

750,000 - 90,000 = 660,000

800,000 / 100 = 8,000

8,000 * 10 = 80,000

800,000 - 80,000 = 720,000

1'000.0000 / 100 = 10,000

10,000 * 6 = 60,000

1'000.000 - 60,000 = 940,000

1'200.000 / 100 = 12,000

12,000 * 4 = 48,000

1'200,000 - 48,000 = 1'152.000

1'500.000 / 100 = 15,000

15,000 * 2 = 30,000

1'500,000 - 30,000 = 1'270,000

De acuerdo a lo anterior, el precio más bajo para comprar un motor generador de ondas estacionarias para cuerdas es 270,000 en el primer almacén.

Nota: Esta pregunta está incompleta y tiene errores en los valores. A continuación esta la información completa y correcta.

Pregunta

¿Cuál tienda le ofrece el precio más bajo a Juan?

Precios

Almacén 1: 300 mil pesos con el 10% de descuento.

Almacén 2: 400 mil pesos con el 14% de descuento.

Almacén 3: 500 mil pero con el 20% de descuento.

Almacén 4: 700 mil pesos con el 22% de descuento.

Almacén 5: 750 mil pesos con el 12% de descuento.

Almacén 6: 800 mil pesos con el 10% de descuento.

Almacén 7: 1'000.000 de pesos con el 6% de descuento.

Almacén 8: 1'200.000 de pesos con el 4% de descuento.

Almacén 9: 1'500.000 de pesos con el 2% de descuento.

Aprenda más sobre descuentos en: https://brainly.com/question/24130820

#SPJ1

if Kis the smallest positive integer such that(2k)(5200) has 303digits. Find the sum of the digits of that number when expanded.

Answers

The sum of the digits of the number 10302k, when k = 151,  is 157.

The smallest positive integer such that (2k)(5200) has 303 digits is k = 151. In order to calculate the sum of the digits of this number, we will first expand the expression (2k)(5200). This expression can be expanded to 10302k. The sum of the digits of this number is equal to 1 + 0 + 3 + 0 + 2 + k. Since k = 151, the sum of the digits of this number is equal to 1 + 0 + 3 + 0 + 2 + 151 = 157. Therefore, the sum of the digits of the number 10302k, when k = 151, is 157.

Learn more about sum of the digits here:

https://brainly.com/question/17608141

#SPJ4

Other Questions
The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of length to width was 8 to 5. This ratio is called the Golden Ratio. If the length of a rectangular painting is 20 inches, determine the width of the painting in order for the length and width of the painting to have the Golden Ratio. twelve people each spin a coin. find the number of ways in which exactly five heads may be obtained Find the slope of a line perpendicular to the line whose equation is 4x+5y=35Fully simplify your answer. Pls help me I am stuck on this thanks so much Which of the following describes the process of dividing a market into distinct groups that have common needs and characteristics?A) Differentiation B) Mass marketingC) Market targeting D) Market segmentation E) Positioning which of the following statements is a correct comparison between mitosis and meiosis? mitosis produces identical haploid cells for growth, while meiosis produces diploid somatic cells for repair. mitosis produces haploid somatic cells for growth, while meiosis produces identical haploid cells for asexual reproduction. mitosis produces diploid body cells for repair, while meiosis produces haploid gamete cells for reproduction. mitosis produces diploid gamete cells for growth, while meiosis produces haploid somatic cells for reproduction. according to the data obtained by the researcher, predict which of the following environmental conditions is mostly likely to cause the expression of the gene z? group of answer choices strong acid (ph 2) neutral (ph 7) mild base (ph 8) strong base (ph 12) a hypothetical planet has a radius 9 times that of earth, but has 3 times the mass of earth. what is the acceleration (m/s2) due to gravity near its surface? round your answer to the nearest tenth. jersey jewel mining has a beta coefficient of 1.4. currently the risk-free rate is 3 percent and the anticipated return on the market is 6 percent. jjm pays a $3.70 dividend that is growing at 2 percent annually. do not round intermediate calculations. what is the required return for jjm? round your answer to two decimal places. % given the required return, what is the value of the stock? round your answer to the nearest cent. $ if the stock is selling for $104, what should you do? the stock is overvalued and should not be purchased. if the beta coefficient declines to 1.1, what is the new value of the stock? round your answer to the nearest cent. $ if the price remains $104, what course of action should you take given the valuation in d? the stock is overvalued and should not be purchased. The vertical force F acts downward at A on the twomembered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 500 N. Solve problem 4 with F = 350 lb. Before you work on your homework each week, please make sure you've read through the assigned sections in the book.The assigned reading for this lesson begins with this quote:Quote:Human beings only use ten percent of their brains. Ten percent! Can you imagine how much we could accomplish if we used the other sixty percent?According to the textbook, who said this quote?Please help 30 points a particle moves under the influence of a conservative force. at point a the particle has a kinetic energy of 12 j; at point b the particle is momentarily at rest, and the potential energy of the system is 25 j; at point c the potential energy of the system is 5 j.what is the potential energy of the system when the particle is at point a ? Where does the energy to run the mechanical clock (or grandfather clock) come from?-electrical energy from a 120 volt outlet-sound energy from bells ringing-electrical energy from a battery-the kinetic energy from a human hand A normally distributed variable is known to have a mean of 34 and a standard deviation of 2. Between what two values does 95% of the data lie?O 28 and 40O 32 and 36O 30 and 38O 25 and 35 in the late 1980s, challenges to communist rule were least successful in select one: a. poland. b. china. c. romania. d. czechoslovakia. e. hungary. listen to exam instructions you need to connect the satellite television signal to your hd 4k flat screen tv using a coaxial cable. which of the following is the best type of coaxial cable to use? answer f-type bnc rg-59 rg-6 Who is Chief John Ross? write a paragraph telling me who he is and what did her do mack gains back the confidence of the acutes in the shower. how? why does mcmurphy start the fight in the shower room a limousine service has 1515 cars available for rides; 88 are lincoln town cars and the remainder are cadillac models. suppose an event organizer requests five limousines from this company. Please answer this question for me