4. Akeego is making a ribbon shirt. She has 60 cm of ribbon that she will cut into 5 pieces with 2 different lengths: 2 pieces have the same length and the remaining 3 pieces also have equal lengths.

a) Generate some data for this relation showing the possible lengths of the pieces.

b) Graph the data.

c) Write an equation for the relation in general form.

d) i) Can each of 2 pieces be 18 cm long and each of 3 pieces be 3 cm long?

ii) Can each of 2 pieces be 3 cm long and each of 3 pieces be 18 cm long?

Use the graph and the equation to justify your answers.

Answer: 48n + 120

Step-by-step explanation:

12(4n+10)

12(4n) + 12(10)

48n + 120

Answer:

28 cm, 32cm , 36cm

Step-by-step explanation:

Given:

To Find:

Solution:

Let:

As, we know that,

★ Perimeter of Triangle = Sum of all sides ★

➝ 7x + 8x + 9x = 96cm

➝ 24x = 96cm

➮ x = 96/24

➮ x = 4

So, length of the sides are:

7x = 7 × 4 ➝ 28cm

8x = 8 × 4 ➝ 32cm

9x = 9 × 4 ➝ 36cm

Given :

To Find :

Solution :

Let us assume the sides be 7x cm, 8x cm and 9x cm.

We know,

[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

[/tex]

So, Substituting the values :

[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]

[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]

Therefore,

The length of the sides of the triangle are :

[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]

Answer: Plese mark brainlest

the circumference is 12.56meters squared

Step-by-step explanation:

Answer:

if i were to factor this would be the solution

2(x^2+2x-1)

Answer:

Graph D

Step-by-step explanation:

Graph A is incorrect because that is a graph of a negative exponential function.

Graph B is incorrect because that is a graph of a square root function.

Graph C is incorrect because that is a graph of a positive exponential function.

Graph D is correct because linear functions are always straight lines. Linear functions have the base equation of y = mx + b . Because there is only one "x" value to the first power, the function increases by the same amount between each "x" value.

Answer:

12(5 - 3w)

Step-by-step explanation:

60 - 36w

The GCF of 60 and 36w is 12.

60 - 36w = 12(5 - 3w)

Answer:

1764

.

.

.................

....

Answer:

512cm3

Step-by-step explanation:

A lateral surface area of a cube is 256 m2. Find its volume.

A cube is a three-dimensional shape that is made up of 6 congruent square faces.

Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.

The lateral area of a cube is the sum of areas of all side faces of the cube

Explanation:

The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.

Let the edge length of the cube be x.

LSA = x2 + x2 + x2 + x2 = 4x2

Given that, LSA of the cube is 256 m2

4x2 = 256

x2 = 256/4

x2 = 64

x = 8

Length of edge of the given cube is 8 m.

The volume of a cube is x3.

The volume of cube = x3 = 83 = 512 m3

Thus, the volume of the given cube is 512 m3.

The volume of the given cube is 512 m³.

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, the lateral surface area of a cube is 256 m cube.

We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube

Now, 4a²=256

a²=64

a=8 m

The formula to find the volume of a cube is a³, where a is edge of a cube.

Thus, volume of a cube =8³ =512 m³

Therefore, the volume of a cube is 512 m³.

Learn more about the volume of a cube here:

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#SPJ2

Answer:

B. The total amount of tweets...

E. NCAA basketball tournament

F. Butterfly population doubles each month

An exponential function is a function that grows exponentially.

Exponential functions have a multiplicative rate of change. This means each term can be multiplied by a specific number to get to the next.

Example of an exponential function:

1, 2, 4, 8, 16, 32, 64, 128, 256...

Knowing this, let's look at each example.

A.

The rocket grows at a rate of 45 m/s, but then goes back down. This is not an exponential function. This is most likely a quadratic function.

B.

Each term is being multiplied by 4. This is correct.

C.

This is too vague. We cannot determine what this is.

D.

This is a linear function. It has an additive rate of change; not a multiplicative one. This is wrong.

E.

Each term is 50% of the previous one. This is correct.

F.

The population is multiplied by 2 each month. This is correct.

Answer:

2, 5, 6

(tweets, basketball, butterfly)

Step-by-step explanation:

Rocket:  Quadratic function

Tweets: Exponential function  (quadruples each time)

Water Park:  Quadratic function (or absolute function)

Savings: Linear function (if simple interest)

**compound interest is exponential, but as it stops earning interest after the first year, it is not continually exponential**

Basketball:  Exponential function  (halves each round)

Butterfly:  Exponential function  (doubles each month)

Answer:

D- 38,430

Step-by-step explanation:

To find 18% of 213.5k, we need to convert 18% back into its decimal form (0.18), then multiply it by 213.5k and boom! there is your answer.

Step-by-step explanation:

Substitute the given values into the expression;

[tex]\frac{5(6)}{3(-4)} +6[/tex]

Multiply;

[tex]\frac{30}{-12} +6[/tex]

Divide;

30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.

[tex]-2\frac{1}{2} +6[/tex]

Add;

[tex]3\frac{1}{2} \; or \; 3.5[/tex]

The lines L1 & L2 and the equations y = mx + n & y = px + q are illustrations of linear equations

This is a vertical line that passes through the x = 2

So, the equation of line L1 is x = 2

This is a horizontal line that passes through the y = 2

So, the equation of line L2 is y = 2

The line y = mx + n passes through points (6,3) and (0,0)

This means that n = 0 i.e. the y-intercept.

The value of m is calculated as follows:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{0- 3}{0 - 6}[/tex]

[tex]m = 0.5[/tex]

So, the values of m and n in y = mx + n are 0.5 and 0, respectively.

The line y = px + q passes through points (6,3) and (0,12)

This means that q = 12 i.e. the y-intercept.

The value of p is calculated as follows:

[tex]p = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]p = \frac{12- 3}{0 - 6}[/tex]

[tex]p = -1.5[/tex]

So, the values of p and q in y = px + q are -1.5 and 12, respectively.

The above region represent the upper region between y=mx +n, y=px+q and line L1

The letter in this region is letter H

The above region represent the lower region between y=mx +n, y=px+q and line L2

The letters in this region are letters A and E

Read more about linear equations at:

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Answer:

  0.508 cm

Step-by-step explanation:

Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:

  1/5 × 2.54 = 0.508

1/5 inch is 0.508 centimeters

Answer: $32 is the discount

Step-by-step explanation: i got it right

Answer:

128. It will take away 32$ from 160

Step-by-step explanation:

20% of 160 is 32. 160 - 32 = 128 which will be the cost of the pair of skates.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2000\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2000(1.01)^{12}\implies A\approx 2253.65[/tex]

Answer:

x = 60

Step-by-step explanation:

The sum of exterior angles in a rectangle is equal to 360

so to find the value of x we need to use all given values and write an equation:

x + 2x + x + 2x = 360 add like terms

6x = 360 divide both sides by 6

x = 60

Answer:

Step-by-step explanation:

2−8−6=−6x2−8x−6=−62−8−6−(−6)=0x2−8x−6−(−6)= 02Add the numbers3Use the quadratic formula3 more stepsSolution=8=0

Answer:

[tex]x=0,8[/tex]

Step-by-step explanation:

[tex]x^2-8x-6=-6[/tex] ( Cancel 6 from both sides)

[tex]x^2-8x=0[/tex] ( Factor out the common term x)

[tex]x(x-8)=0[/tex]

[tex]x=0\: or\:x-8=0[/tex]

let's solve the equations

[tex]x-8=0\\x-8+8=0+8\\x=8[/tex]

[tex]x=0[/tex]

Therefore, x=0,8

~

Answer:

Yes because I can see people very sleep-deprived and even if 7 hours is not enough, it's better than 6. For the people who sleep 9 and a half hours, they have 1 more hour to get ready. The median is 8 which most likely means, most of the students will be able to sleep the recommended amount with the extra hour.

Step-by-step explanation:

[tex]\left[Hello,Dejanafryer23][/tex]

Answer:

No

Step-by-step explanation:

To Find if -17/-40 equal to -0.425...

We First have to turn -17/-40 into a decimal;

-17/-40 = 0.425 { Negative + Negative = Positive }

Thus,

0.425 > -0.425

Hence, Answer is -17/-40 is Not equal to -0.425

[RevyBreeze]

Answer:

49.6 ft.

Step-by-step explanation:

The formula for circumference is 2πr, so just plug the radius into the formula.

2*π*7.9=49.637 ft

Round that to the nearest tenth to get 49.6 ft.

Answer:

False

Step-by-step explanation:

It's only 2 Pi r

Answer:

False

Step-by-step explanation:

Total Surface Area of Cylinder = 2πr(r+h)

Further if you solve it you will get

→ TSA of Cylinder = 2πr² + 2πrh

So, correct answer is False .

Some Additional Points

where,

π is 22/7 or 3.14

h is height of cylinder

r is radius of cylinder

The sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

Given polynomials are:

[tex]1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6[/tex]

A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.

The sum of expressions is

[tex]g^2-4g^4+5g+9-3g^3+3g^2-6[/tex]

Now, add monomials having similar exponents, like if monomial is like [tex]g^2[/tex] add it with another monomial having a term [tex]g^2[/tex] and do the same for other monomials.

[tex]g^2 + 3g^2 -4g^4+5g-3g^3+9-6[/tex]

[tex]4g^2-4g^4+5g-3g^3+3[/tex]

Therefore, the sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

To get more about polynomials visit:

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Answer:

B

Step-by-step explanation:

The correct statement are statements B and C

Given the following equation for the distance of Bicyclist A expressed as:

d = 11.5h + 5

After 1 hour for A

d(1) = 11.5 + 5
d(1) = 16.5

For bicycle B, the distance traveled after 1 hour is 12.5 miles from the graph. Hence B is not traveling 1 mile per hour faster than A.

After 2 hours for A;

d(2) = 11.5(2) + 5

d(2) = 23 + 5 = 28 miles

Hence after 2 hours, A will have traveled a total of 28 miles.

From the graph, we can see that B started from the town (origin), and from the equation, A started from 5 miles from town (y-intercept is 5)

Hence the correct statement are statements B and C

Learn more on the distance-time graph here: https://brainly.com/question/13877898

Answer:

1/7 = 7/1

6= 1/6

1 1/8= 9/8= 8/9

3 1/3 = 10/3 = 3/10

2 1/4 = 9/4 = 4/9

2/5 = 5/2

Step-by-step explanation:

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

The reciprocal of a number is the number you would have to multiply it by to get the answer 1.

Answer:

28) 7/1

29) 1/6

30) 8/9

31) 3/10

32) 4/9

33) 5/2

Step-by-step explanation:

Answer:

1/144

Step-by-step explanation:

1/(2⁴ * 3²)

1/(16*9)

1/144

Answer:

t = 259.3

Step-by-step explanation:

d = rt ( divide both sides by r )

[tex]\frac{d}{r}[/tex] = t ( substitute values for d and r )

[tex]\frac{596.39}{2.3}[/tex] = t , then

t = 259.3

Answer:

  x = -3 or 7

Step-by-step explanation:

The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.

__

The factored form of the given polynomial is ...

  y = (x -7)(x +3)

The values of x that make these factors zero are ...

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

The zeros of the polynomial function are x = -3, and x = 7.