Let x represent the height of the model.
We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if the building is expected to be 200 feet tall.
We will use proportions to solve our given problem as:
![\frac{\text{Model height}}{\text{Actual height}}=\frac{\text{Model length}}{\text{Actual length}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BModel%20height%7D%7D%7B%5Ctext%7BActual%20height%7D%7D%3D%5Cfrac%7B%5Ctext%7BModel%20length%7D%7D%7B%5Ctext%7BActual%20length%7D%7D)
Upon substituting our given values, we will get:
![\frac{x}{200\text{ ft}}=\frac{3\text{ in}}{\text{32 ft}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B200%5Ctext%7B%20ft%7D%7D%3D%5Cfrac%7B3%5Ctext%7B%20in%7D%7D%7B%5Ctext%7B32%20ft%7D%7D)
![\frac{x}{200\text{ ft}}\times 200\text{ ft}=\frac{3\text{ in}}{\text{32 ft}}\times 200\text{ ft}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B200%5Ctext%7B%20ft%7D%7D%5Ctimes%20200%5Ctext%7B%20ft%7D%3D%5Cfrac%7B3%5Ctext%7B%20in%7D%7D%7B%5Ctext%7B32%20ft%7D%7D%5Ctimes%20200%5Ctext%7B%20ft%7D)
![x=3\text{ in}\times 6.25](https://tex.z-dn.net/?f=x%3D3%5Ctext%7B%20in%7D%5Ctimes%206.25)
![x=18.75\text{ in}](https://tex.z-dn.net/?f=x%3D18.75%5Ctext%7B%20in%7D)
Therefore, the model will be 18.75 inches tall.
Answer:
y = 7x + 4? - 7 7
Step-by-step explanation:
Perimeter is adding all 4 sides together:
8 + 8 + 9x + 9x
Simplify by coming like terms to get:
18x + 16
The answer is d. 18x + 16
Answer:
$63.3
Step-by-step explanation:
You buy a 60 dollar watch.
60
There is a 6 percent tax. When adding tax, multiply the 6 percent by the original amount.
60 x 0.06
3.6
Add the tax to the original amount.
60 + 3.6 = 63.3
So, your total cost is 63.3 dollars.
Answer:
3.14 million
Step-by-step explanation:
10.676 - 7.536 = 3.14
To check
7.536 + 3.14 = 10.676