Answer:
x=[tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
Margaret buys 5 ⅗ yards of fabric to make Halloween costumes. She uses 3 ¾ yards of fabric to make one Halloween costume.
Answer:
5 3/5 --> 5 12/20
3 3/4 --> 3 15/20
redistribute 1 into 20/20 and make
4 33/20 - 3 15/20
= 1 18/20
= 1 9/10
please please help!!!
Katie needs 60 mL of a 10% acid solution for a science experiment. She has available a 8% solution and a 20% solution.
How many milliliters of the 8% solution and how many milliliters of the 20% solution should she mix to make the 10%
solution?
Answer:
The solution would be to solve two equations simultaneously.
Step-by-step explanation:
The solution would be to solve two equations simultaneously.
So let X = ml of 8 % SOLUTION and Y = ml of 20 % SOLUTION
We know that X + Y must = 60 ml.
So first equation is X + Y = 60
The second equation is the statement of the problem
0.2 X + 0.08 Y = 0.1 x 60 = 6
Second equation reduces to
0.2 X + 0.08 Y = 6
Solve the two equations for X and Y and you have your answer.
Which expressions are equivalent to the given expression?
Answer:
it can be simplified to Y^(-5)X^(-2)
Step-by-step explanation:
So the exponents can be added because the terms are all being multiplied:
For Y: (-8)+(3)=(-5)
For X: (0)+(-2)=(-2)
So the simplified answer is Y^(-5)X^(-2)
That is also the same as 1/[(x^5)(y^2)]
Does that answer the question?
Given: E is the midpoint of and ABCD is a rectangle.
Prove: △ABE≅△DCE.
Answer:
AE = ED///// A MIDPOINT DIVIDES A SEGMENT INTO TWO CONGRUENT SEGMENTS
AB = DC ///// OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT
<A IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES
<D IS A RIGHT ANGLE ///// THE INTERIOR ANGLES OF A RECTANGLE ARE RIGHT ANGLES
<A = <D ///// ALL RIGHT ANGLES ARE CONGRUENT
TRIANGLES ABE = DCE ///// SAS
Hope this might help you.
Step-by-step explanation:
Mike had 16 video games but 9 of them weren’t working. If he wanted to sell the working games for $7 each, how much money could he earn?
Answer:
$49
Step-by-step explanation:
16 - 9 =7
7 x 7 = 49
he would make $49.
Fill in the blank with a number to make the expression a perfect square.
Answer: 16
Step-by-step explanation:
It divides evenly into (w-4)^2.
Maya has savings of $30,000. She invests in a bond mutual fund that pays 6% interest each year. Ignoring compounding, what are Maya's total savings after 15 years? Ex: For $1,000 at 3% for 5 years, compute interest as $1,000 × 0.03 × 5 = $150, so the total savings becomes $1,000 + $150 = $1,150.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$30000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &15 \end{cases} \\\\\\ A=30000[1+(0.06)(15)]\implies A=30000(1.9)\implies A=57000[/tex]
In a certain automobile manufacturing paint shop, paint defects on the hood occur at a mean rate of 0.8 defect per square meter. A hood on a certain car has an area of 3 square meters. (a) Justify the use of the Poisson model. (b) If a customer inspects a hood at random, what is the probability that there will be no defects? (c) One defect? (d) Fewer than two defects?
Considering the situation described, we have that:
a) The Poisson distribution is used because we only have the mean.
b) There is a 0.0907 = 9.07% probability that there will be no defects.
c) There is a 0.2177 = 21.77% probability that there will be one defect.
d) There is a 0.3084 = 30.84% probability that there will be fewer than two defects.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The Poisson distribution is used because we only have the mean.
We have 0.8 defects per m² and 3 m², hence the mean is given by:
[tex]\mu = 3 \times 0.8 = 2.4[/tex]
Item b:
The probability is P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2.4}(2.4)^{0}}{(0)!} = 0.0907[/tex]
There is a 0.0907 = 9.07% probability that there will be no defects.
Item c:
The probability is P(X = 1), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-2.4}(2.4)^{1}}{(1)!} = 0.2177[/tex]
There is a 0.2177 = 21.77% probability that there will be one defect.
Item d:
The probability is P(X < 2), hence:
P(X < 2) = P(X = 0) + P(X = 1) = 0.0907 + 0.2177 = 0.3084.
There is a 0.3084 = 30.84% probability that there will be fewer than two defects.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
Find the solution of the system of equations. 3x+y=-15
3x+2y=-18
Answer:
(x, y) ==> (-4, -3)
Step-by-step explanation:
-2(3x + y = -15) ==> -6x - 2y = 30
3x + 2y = -18
-6x - 2y = 30
3x + 2y = -18
-3x = 12
/-3 /-3
x = -4
Now, we solve for y:
-6x - 2y = 30
-6(-4) - 2y = 30
24 - 2y = 30
-24 -24
-2y = 6
/-2 /-3
y = -3
(x, y) ==> (-4, -3)
Hope this helps!
factor and solve to find all the zeros
show work
x^2+ 5x + 6 = 0
Answer:
x=-3 and
x=-2 is the answer i watched a vid about it for you i can put more \
(x + 3 )(x+2) = 0
x+-3
x+2=0
x=-2
hope this helps?
Step-by-step explanation:
Solve the inequality for z.
23 7-6
Simplify your answer as much as possible.
D>
DO
Answer:
[tex]z \leqslant 29[/tex]
Step-by-step explanation:
[tex] - z \geqslant - 6 - 23[/tex]
[tex] - z \geqslant - 29[/tex]
[tex]z \leqslant 29[/tex]
GEOMETRY The area of a scalene triangle is 56 square meters. The base of the triangle is 2x - 6 meters, and the height of the triangle is
X - 4 meters. Find the base and height of the triangle.
The base and height of the triangle is 16 meters and 7 meters respectively.
What are Scalene Triangles?Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.
Given that,
Area of a scalene triangle = 56 square meter
Base of the triangle = 2x - 6 meters
Height of the triangle = x - 4 meters
The formula to find the area of a triangle is,
Area = [tex]\frac{1}{2}[/tex] × base × height
Substituting,
[tex]\frac{1}{2}[/tex] × (2x - 6) (x - 4) = 56
[tex]\frac{1}{2}[/tex] (2x² - 6x - 8x + 24) = 56
[tex]\frac{1}{2}[/tex] (2x² - 14x + 24) = 56
x² - 7x + 12 = 56
x² - 7x - 44 = 0
Factoring,
(x - 11) (x + 4) = 0
So, x = 11 or x = -4.
x = -4 is not possible, since the negative lengths are not possible.
So, x = 11
So base = 2x - 6 = 16 and height = x - 4 = 7
Hence the base and height are 16 and 7 respectively.
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what is the value of x with 16 and 45 degrees
Step-by-step explanation:
you make a question we don't understand. can you explain
Erica has \$30.00$30.00dollar sign, 30, point, 00 saved and receives an allowance of \$10.00$10.00dollar sign, 10, point, 00 each week.
Answer:
BB
Step-by-step explanation: Because I did it
Answer: A
Step-by-step explanation:
Jesse bought 3 1/2 pounds of bird seed at $2.00 per pound.
How much should she have paid?
Answer:
$7.00
Step-by-step explanation:
Each pound cost $2 and we have 3 pounds which means that's $6:
3 • 2= 6
But then we have half a pound (1/2), well whats half of 2? the answer is 1 which means we add another dollar making that $7.00! :)
What is the answer to this question? (100 POINTS PLS ANSWER!)
Answer: D
Step-by-step explanation:
Unit means 1, so it’s obviously D!
Which statement best describes the expression 4y + 9? (1 point)
1) 9 divided by 4 times y
2) 9 times y divided by 4
3) 4 times y divided by 9
4) 4 divided by 9 times y
Answer:
9 is added by 4 times y is the correct answer.
The given option don't describe the expression 4y+9
Write the following ratios 750 ml: 3L
Answer:
1:4
Step-by-step explanation: 750/3000 = 1/4 = 1:4
SOMEONE PLEASE HELP ILL MARK U BRAINLIST
Answer:
The value of X is 1
Step-by-step explanation:
Trust me i did this already.
Answer:
x=3
Step-by-step explanation:
we can use the pythagora thearom as it is a right angled triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
so in this example it would be like this
[tex]x^{2} +x^{2} =(3\sqrt{2})^{2}[/tex]
so lets simplify it to this
[tex]2x^{2} =18[/tex]
now all thats left is to get x on its own
[tex]x^{2} =9[/tex]
[tex]x=+or-3[/tex]
x cant be -3 so x =3
Evan graphed a cubic function, f(x) = ax3 + bx2 + cx + d, and determined the roots of f(x) to be +1 and 2. What is the value of b, if a = 1
The value of [tex]b[/tex] in the cubic polynomial is -4.
How to determine the coefficients of a cubic polynomialAfter a quick analysis, we find that given cubic function is equivalent to the following equivalence:
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = (x-1)^{2}\cdot (x-2)[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = (x^{2}-2\cdot x + 1)\cdot (x-2)[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-2\cdot x^{2}+x-2\cdot x^{2}+4\cdot x-2[/tex]
[tex]x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-4\cdot x^{2}+5\cdot x -2[/tex]
After a quick observation, we conclude that the value of [tex]b[/tex] in the cubic polynomial is -4. [tex]\blacksquare[/tex]
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016
It’s a bonus question on a work sheet I need your help.
Answer:
I think 5 because they both go into it
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each puppy gained 2.1 ounces, how much would the puppies weigh?
Answer:
6.5 ounce puppy would be 8.6
7.3 ounce puppy would be 9.4
6.4 ounce puppy would be 8.5
Step-by-step explanation:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1=8.5
hope this helps!
Answer: 8.6, 9.4, and 8.5.
Step-by-step explanation:
6.5
+ 2.1
_____
8.6
7.3
+ 2.1
_____
9.4
6.4
+ 2.1
_____
8.5
Hope this helps! :)
Please help!!
Find the volume of the sphere
Answer:
Hi , your answer is V = 4/3 πr³.
Hope this helps
Which formula do I use?
A B or C
Answer:
A=1/2b*h
Step-by-step explanation:
A=1/2b*h
a rectangle is b*h, and a right triangle is half a rectangle.
In the figure below, the sum of the areas of the two congruent circles shown is 72 π. What is the area of rectangle ABCD?
PLS ANSWER QUICKLY WILL MARK BRAINLIEST
Answer:
2 π R^2 = 72 π area of the two circles
R^2 = 36
R = 6
Area of rectangle = 2 R * 4 R = 8 R^2
Area = 8 * 36 = 288
Note area of one circle = π R^2 = π 36 = 113
Area of two circles = 226 - somewhat less than the area of the rectangle
Geometry question> Help ASAP
Answer:
E)
Step-by-step explanation:
It cannot be decided from the information given as we have only been given the side lengths of each of the squares. We have not been told at what point along each side length the other square intersects, nor have we been told the angle at which the squares intersect each other. We would need this information to be able to calculate the specified area.
Diagram is note done perfect according to question .
Use the shortcut trick mentioned below while these cases come .
Area left(Black part)=Area of biggest square- area of rest squares drawn
Now
Area left:-
[tex]\\ \rm\rightarrowtail 7^2-(5^2+3^2)[/tex]
[tex]\\ \rm\rightarrowtail 7^2-(25+9)[/tex]
[tex]\\ \rm\rightarrowtail 49-34[/tex]
[tex]\\ \rm\rightarrowtail 15cm^2[/tex]
Option DIn a class library, 3 out of 4 books are non-fiction. The rest are fiction. a) How many non-fiction books could there be? How many fiction books could there be? b) How many different answers can you find for part a? Which answers are reasonable? Explain.
Answer:
Infinitely Many Solutions
Step-by-step explanation:
There can be infinite solutions to this problem
Here are some examples
3 4
6 8
12 16
24 32
48 64
96 128
To get a solution, just multiply both numbers by the same term. I multiplied by 2 each.
Hope this helps :)
-jp524
What is the measurement of the third angle of a triangle,if the measurement of the two angles are 50° and 58°
A.32°
B.42°
C.72°
D.82°
Paki sagot po
Given :
The measurement of the two angles of a triangle are 50° and 58°.⠀
To Find :
The measurement of the third angle of the triangle.⠀
Answer :
72° .⠀
Explanation :
We know that,
Sum of all angles of a triangle = 180°⠀
Therefore,
[tex]{ \longrightarrow \sf \qquad \angle1 + \angle2 + \angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 50 {}^{ \circ} + 58{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
⠀
Subracting 108° from both sides :
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ} - 108 {}^{ \circ} +\angle3= 180 {}^{ \circ} - 108 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \pmb{\bf \qquad \angle3= 72 {}^{ \circ} }}[/tex]
⠀
Therefore,
The measurement of the third angle of the triangle is 72° .need help with geometry
problem #8
Suppose ABC be a triangle such that ∠A = 4x + 7 ,
∠B = 3x + 5 & ∠C = 6x + 12
We know, the sum of interior angles of a Triangle is 180°, therefore, ∠A + ∠B + ∠C = 180°
or, 4x + 7 + 3x + 5 + 6x + 12= 180°
or, 13x = 180 - 24
or, x = 156/ 13 = 12
Factor x ^ 3 - 4x ^ 2 + 7x - 28 by grouping. What is the resulting expression?
O (x ^ 2 + 7)(x - 4)
O (x ^ 2 - 7)(x + 4)
O (x ^ 2 + 4)(x - 7)
O (x ^ 2 - 4)(x + 7)
Answer:
A
Step-by-step explanation:
x³ - 4x² + 7x - 28
= x²(x - 4) + 7(x - 4)
= (x - 4)(x² + 7)
= A
As per the given data, the resulting expression after factoring by grouping is [tex](x^2 + 7)(x - 4)[/tex], which is option A.
What is Factor?Factoring is the process of finding the factors of an algebraic expression, which involves writing the expression as a product of simpler expressions.
There are different methods for factoring, depending on the type of expression. Some common methods include: Factoring by grouping, Factoring quadratics, and Factoring higher degree polynomials.
We can factor [tex]x^3 - 4x^2 + 7x - 28[/tex] by grouping the first two terms and the last two terms as follows:
[tex]x^3 - 4x^2 + 7x - 28= (x^3 - 4x^2) + (7x - 28)\\= x^2(x - 4) + 7(x - 4)\\= (x^2 + 7)(x - 4)[/tex]
Therefore, the resulting expression after factoring by grouping is (x^2 + 7)(x - 4), which is option A.
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