Answer:
![(x + 7) * (3x + 1) = (3x^2 + 22x + 7)](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%283x%20%2B%201%29%20%3D%20%283x%5E2%20%2B%2022x%20%2B%207%29)
Step-by-step explanation:
Given
![(3x^2 + 22x + 7) \div (x + 7) = 3x + 1](https://tex.z-dn.net/?f=%283x%5E2%20%2B%2022x%20%2B%207%29%20%5Cdiv%20%28x%20%2B%207%29%20%3D%203x%20%2B%201)
![(x + 7) * (\ ) = [\ ]](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%28%5C%20%29%20%3D%20%5B%5C%20%5D)
Required
Complete the blanks
We have:
![(3x^2 + 22x + 7) \div (x + 7) = 3x + 1](https://tex.z-dn.net/?f=%283x%5E2%20%2B%2022x%20%2B%207%29%20%5Cdiv%20%28x%20%2B%207%29%20%3D%203x%20%2B%201)
Rewrite as:
![\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1](https://tex.z-dn.net/?f=%5Cfrac%7B%283x%5E2%20%2B%2022x%20%2B%207%29%20%7D%7B%20%28x%20%2B%207%29%7D%20%3D%203x%20%2B%201)
Cross multiply
![(x + 7) * (3x + 1) = (3x^2 + 22x + 7)](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%283x%20%2B%201%29%20%3D%20%283x%5E2%20%2B%2022x%20%2B%207%29)
Answer:
D
Step-by-step explanation:
Required equation ![\frac{1}{6.2} =\frac{15}{X}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6.2%7D%20%3D%5Cfrac%7B15%7D%7BX%7D)
The height of statue of liberty is 93 meters.
Step-by-step explanation:
Given : Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters.
To find : Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?
Solution :
The model is 15 inches tall.
The scale of the model to the actual statue is 1 inch : 6.2 meters.
Let x be the height in meters of the Statue of Liberty.
According to question, required equation is
![\frac{1}{6.2} =\frac{15}{X}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6.2%7D%20%3D%5Cfrac%7B15%7D%7BX%7D)
Cross multiply,
x=15 x 6.2
x=93
Therefore, the height of statue of liberty is 93 meters.
To answer this you will need to find out how many quarts there are in 5 gallons. You can use the conversion of 4 quarts in 1 gallon to find out how many quarts there are in 5 gallons.
4 qts/1 gal = 20 qts/5 gal
Here will need to fill the container 20 times to fill the aquarium.