5x7=35
5x7=5x(5+2)
5x7=(5x3)+(5x4)
5x7=20+15
5x7=35
This is how I would do it :)
Answer:
x = -9
Step-by-step explanation:
-5 =
- 2
add 2 to both sides:
= -3
multiply both sides by 3:
x = -9
Your answer is one thousand three hundred, or 1,300.
Answer:
The volume ratio of Prism A to Prism B is ![\frac{729}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B729%7D%7B8%7D)
Step-by-step explanation:
Step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> scale factor
x/y----> ratio of the surface area of Prism A to Prism B
so
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![\frac{x}{y}=\frac{81}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B81%7D%7B4%7D)
substitute
![z^{2}=\frac{81}{4}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7B81%7D%7B4%7D)
![z=\frac{9}{2}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B9%7D%7B2%7D)
step 3
Find the volume ratio of Prism A to Prism B.
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x/y----> volume ratio of Prism A to Prism B
so
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{9}{2}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B9%7D%7B2%7D)
substitute
![(\frac{9}{2})^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B2%7D%29%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
![(\frac{729}{8})=\frac{x}{y}](https://tex.z-dn.net/?f=%28%5Cfrac%7B729%7D%7B8%7D%29%3D%5Cfrac%7Bx%7D%7By%7D)
Step-by-step explanation:
1/4 divided by 4 = 1/4 x 1/4 = 1/16
8 divided by 1/3=8 x 3 = 24