Answer:
The volume of a rectangular prism is ![28\frac{7}{8}\ cm^{3}](https://tex.z-dn.net/?f=28%5Cfrac%7B7%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
![V=BHL](https://tex.z-dn.net/?f=V%3DBHL)
Convert the given dimensions to an improper fractions
![B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm](https://tex.z-dn.net/?f=B%3D3%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B3%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%5C%20cm)
![H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm](https://tex.z-dn.net/?f=H%3D1%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B1%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D%5C%20cm)
![L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm](https://tex.z-dn.net/?f=L%3D5%5Cfrac%7B1%7D%7B2%7D%5C%20cm%3D%5Cfrac%7B5%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B11%7D%7B2%7D%5C%20cm)
substitute in the formula
![V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B7%7D%7B2%7D%29%28%5Cfrac%7B3%7D%7B2%7D%29%28%5Cfrac%7B11%7D%7B2%7D%29%3D%5Cfrac%7B231%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Convert to mixed number
![\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B231%7D%7B8%7D%3D%5Cfrac%7B224%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B8%7D%3D28%5Cfrac%7B7%7D%7B8%7D%5C%20cm%5E%7B3%7D)
Answer:
B. (2, 4)
Explanation:
<u>Given equations</u>:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
6 * 10^5 = 600,000
600,000/15 = 40,000
The pop of the small town is approximately 40,000 people
Answer:
Option a) 1/5 is most closely to 0.