Mathematics Middle School

Help me please! Given the equation 8x=4y+16 generate a plan to rewrite it in slope intercept form

Answers

Answer 1

8x = 4y + 16

Make y the subject
4y = 8x - 16
y = 2x - 4

Slope intercept form: y = 2x - 4

Related Questions

Which model is most appropriate for the data shown in the graph below

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it's an exponential graph.

it is an Exponential graph

How does the height of the triangle compare to the height of the rectangle

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The triangle's height must be 3 times that of the rectangle for the areas to be the same.

For a triangle, A = (1/3)bh
For a rectangle, A = bh

If we let h represent the height of the rectangle and H represent the height of the triangle, we have
.. (1/3)bH = A = bh
.. H = 3h . . . . . . multiply the above equation by 3/b

What is the slope-intercept equation of the line through the points (-7,2) (-2,1)

Answers

The answer is -1/5. If you use slope intercept formula of (-7,2) and (-2,1) you get -1/5

What are the operations used to
solve this equation5/6x-2=-2/3x+1

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addition
multiplication

Hello! I need a bit of help with this one! Thanks

of the calculators sold this week, 3/8 of them were blue and of those, 2/9 were broken. What fraction of the calculators were blue and broken?

Answers

so 2/9 of the 3/8 calculators were broken.

2/9 x 3/8 = 1/12 of the calculators were broken.

There are 18 muffins on a plate. If they are split equally among 9 people, how many muffins will each person get? Write three equations to solve it.

Answers

Each person would get 2 muffins

1. 18/9=2
2. m = muffins & p = people m/p=t
3.18 muffins divide 9 people equal 2 muffins for everyone

Evaluate sin[2 arccos( -8/17 )].

Answers

Recall that [tex]\sin2x=2\sin x\cos x[/tex], so that

[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\sin\left(\arccos\left(-\dfrac8{17}\right)\right)\cos\left(\arccos\left(-\dfrac8{17}\right)\right)[/tex]

Dealing with the cosine terms is simple, since [tex]\cos(\arccos x)=x[/tex] (so long as [tex]0\le \arccos x\le\pi[/tex], which is true here). So

[tex]\cos\left(\arccos\left(-\dfrac8{17}\right)\right)=-\dfrac8{17}[/tex]

To find the sine, we can make a substitution of [tex]\theta=\arccos\left(-\dfrac8{17}\right)[/tex]. In other words, we suppose that [tex]\theta[/tex] is some angle that satisfies [tex]\cos\theta=-\dfrac8{17}[/tex].

If this is the case, then we have

[tex]\sin^2\theta=1-\cos^2\theta=\dfrac{225}{289}\implies\sin\theta=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}[/tex]

But which value do we choose? We know that [tex]\cos\theta[/tex] is negative, which means [tex]\theta[/tex] must be between [tex]\dfrac\pi2[/tex] and [tex]\pi[/tex]. The sine of any angle [tex]\theta[/tex] in this interval will always be positive, so in fact

[tex]\sin\theta=\sin\left(\arccos\left(-\dfrac8{17}\right)\right)=\dfrac{15}{17}[/tex]

Putting everything together, we get

[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\left(\dfrac{15}{17}\right)\left(-\dfrac8{17}\right)=-\dfrac{240}{289}[/tex]

You are buying salsa at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 containers. One container of salsa costs $3.25. What is your final cost?

Answers

3.25*2 = 6.5*0.5 = 3.25-0.50 = $2.75

Answer: Final cost will be $2.75.

Step-by-step explanation:

Since we have given that

Cost of salsa container = $3.25

Off on coupon = $0.50

Final cost of one salsa container is given by

[tex]3.25-0.50\\\\=\$2.75[/tex]

Hence, the final cost will be $2.75.

if he bought two containers

Cost of two containers is given by

[tex]3.25\times 2\\\\=\$6.50[/tex]

Coupon 50% off is given by

[tex]6.50\times 0.5\\\\=3.25[/tex]

So, Final cost is given by

[tex]6.25-3.25-0.5\\\\=\$2.75[/tex]

Hence, Final cost will be $2.75.

Can someone pls tell me how to solve this

Answers

Since we find the cube root of 216, we get 6, which is the answer

Take the cube root of both sides. Or, if you cant see that, just plug in each awnser and see which one ends up being correct. 6^3=216

Anna plants peas in 3/8 of her garden and herbs in 1/8 of it. she divides the rest of the garden into 6 sections. what fraction of the original garden is in each section?

Answers

To find this answer you will first subtract the two fractions from the original size of one whole garden. After that take the remaining amount and break it into six sections. This answer would represent the fraction of the original garden that is in each section. Here are the steps:
1. Add the two fractions together to get 4/8 or 1/2. This means that half of it is left.

2. Take the 1/2 that remains and divide it by 6 (1/2 divided by 6 = 1/2 x 1/6). The answer is 1/12.

3. 1/12 of the original garden is in each section.

1/4-(2006 + .20)+2x2-4

Answers

-2005.95. I googled it. May want to double-check though, and if you get something differentx let me know.

The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of seconds x. How many degrees is the painted spot turning in 0.75 s? Enter your answer in the box. ??

Answers

for a given number of seconds x. How

Figure STOP is reflected about the y-axis to obtain figure STO'P:
Which statement best describes the relationship between the two figures?
The measure of angle S is equal to the measure of angle P’.
The measure of angle P is equal to the measure of angle T’.
Figure STOP is congruent to figure S’T’O’P’.
Figure STOP is bigger than figure S’T’O’P’.

Answers

Figure STOP is congruent to figure S'T'O'P', Since both the object and the image are equivalent in shape and size

Figure stop is congruent due to the same shape and size

Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills.
How much change should she receive? - $3.16
List the change in coins and bills. - ??

Answers

3 one dollar bills
One dime
6 pennies

Find the value of X in the triangle.

Please explain. Thanks.

Answers

29°

triangles can only have 180°

This is a right triangle, so one angle is 90°, leaving us with 90° left

90°-61°= 29°

X=29
You have a right angle, they're always 90 degrees, plus 61 degrees = 151, next you subtract 151 from 180 = 29 degrees.

which explains how to determine 40% of 50?

A. find 10% of 50 by dividing 50 by 10. Then multiply the result by 4.

B. find 10% of 50 by dividing 50 by 10. Then multiply the result by 40.

C. find 50% of 40 by dividing 40 by 2. Then multiply the result by 4.

D. find 50% of 40 by dividing 40 by. Then multiply the result by 40.

Answers

The answer is A
Hope this helps!!!

Simplify the expression so there is only one positive power for each base
(3^-2•7^-5)^-4

Answers

= 3^(-2*-4)*7*(-5*-4)= 3^8*7^20

D is the answer

Answer:The and is D

Step-by-step explanation:

How do u solve this system with substitution?

Answers

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x + 5 = 7

2x = 2

x = 1

y = 2(1) - 5

y = 2 - 5 = -3

A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to buy the set so each could have a pair of earrings. Write and solve a multiplication equation to find how much each person should pay.

Answers

X=58/4
x=14.50
Each person should pay $14.50.

marco deposited $500 in a savings account earning 4% simple intrest over 5 years what was the total amount of intrest earned at the end of 5 years a. 40, b. 50, c. 100, d.200

Answers

The formula in computing the simple interest of a savings account is:

I = Prt

Where I = interest earned

P = principal amount deposited

r = rate

t = time in years

You are asked to find the total amount of interest earned at the end of 5 years. Substituting the amounts to the formula:

I = $500 (4%) (5)

I = $100

Therefore, the total amount of interest earned at the end of 5 years is $100.

Need help! Stuck in this question.

Answers

this is the answer i got on this calculator

Guys help me please:(

Answers

x = -2
y = -5
For this case, you must realize that the solution to the system of equations is the ordered pair:
(x, y) = (- 2, -5)
Graphically, they are two lines that intersect in the third quadrant.
Answer:
See attached image.

Which fraction is a multiple of 1/9

Answers

3/27
Hope this help you

Final answer:

A fraction is a multiple of 1/9 if it can be written as a whole number multiplied by 1/9. For example, 2/9 is a multiple of 1/9 because it is obtained by multiplying 1/9 by 2.

Explanation:

To find which fraction is a multiple of 1/9, one can multiply 1/9 by any whole number. For instance, if we multiply 1/9 by the number 2, we obtain 2/9. This resulting fraction is indeed a multiple of 1/9 since we have simply doubled the numerator while keeping the denominator the same. When we multiply both the numerator and the denominator by the same factor, we are maintaining the proportion, hence a multiple of 1/9.

So the question at hand is about identifying a fraction that, when simplified, would be a whole number times 1/9. Such fractions can be formed by multiplying the numerator (1) of 1/9 by any non-zero integer and keeping the denominator (9) constant. For example, 3/9 is a multiple of 1/9 as 3 is a whole number and 3/9 can be simplified to 1/3, which is 3 times 1/9.

Find the measure of <7

Answers

Hey there! :D

Vertical angles are congruent, they have the same measure.

So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally.

<5= 45, so <7= 45.

I hope this helps!
~kaikers

40% of college students scored more than 70% on a math test 120 students scored below that how many total students took the math test

Answers

there were 200 students in total

what is the answer to 50% of 4=

Answers

50% of 4 = 2 . . . . . .

Which equation best describes the line of best fit?

A) y=6x +10

B) y=x−10

C) y=10x +70

D) y=2/3x

Answers

The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.

Selection A is the appropriate equation.

Hey sports memorabilia enthusiast collected autographed baseballs.The enthusiast is giving an autographed baseball who each of his three grandchildren. If the baseballs are selected at random what is the probability that Hank Aaron, Alex Rodriguez, and Mikey mantle autographed baseballs are given to his grandchildren? Their are a total of 5 baseballs.

Answers

8 baseballs!!!!!!!!!!!!!!!!!!

Answer:

1/10

Step-by-step explanation:

please help im confused

Answers

25) It is a right triangle

3²+4²=5²
9+16=25
25=25

26) It is a right triangle

6²+8²=10²
36+64=100
100=100

27) Not a right triangle

5²+5²=10²
25+25=100
50=100

28) It is a right triangle

5²+12²=13²
25+144=169
169=169

Hope this helps :)

Sarah build a dollhouse the floor the dollhouses Square Sara covers the floor with 144 square inches of tile how long in inches is one side of the dollhouse floor?
A. 12
B. 38
C. 72
D. 144

Answers

All you have to do is find the square root of the area because the area is the side length squared.

square root of 144 = 12

So a side length is 12

A. 12x12 is 144 and the tile has to be a 12 by 12 to have 144 tiles.

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