Answer:
16 actual miles.
Step-by-step explanation:
We have been given that a scale on a hiking map shows that 1.5 inches represents 4 miles. We ate asked to find the number of actual miles that are represented by 6 inches on the map.
We will use proportions to solve our given problem.
![\frac{\text{Actual distance}}{\text{Distance on map}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7BDistance%20on%20map%7D%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D)
Upon substituting map distance of 6 inches in above proportion, we will get:
![\frac{\text{Actual distance}}{\text{6 inches}}=\frac{\text{ 4 miles}}{\text{1.5 inches}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7B6%20inches%7D%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D)
![\frac{\text{Actual distance}}{\text{6 inches}}\cdot \text{6 inches}=\frac{\text{ 4 miles}}{\text{1.5 inches}}\cdot \text{6 inches}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20distance%7D%7D%7B%5Ctext%7B6%20inches%7D%7D%5Ccdot%20%5Ctext%7B6%20inches%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B%5Ctext%7B1.5%20inches%7D%7D%5Ccdot%20%5Ctext%7B6%20inches%7D)
![\text{Actual distance}=\frac{\text{ 4 miles}}{1}\cdot 4](https://tex.z-dn.net/?f=%5Ctext%7BActual%20distance%7D%3D%5Cfrac%7B%5Ctext%7B%204%20miles%7D%7D%7B1%7D%5Ccdot%204)
![\text{Actual distance}=\text{16 miles}](https://tex.z-dn.net/?f=%5Ctext%7BActual%20distance%7D%3D%5Ctext%7B16%20miles%7D)
Therefore, 6 inches on the map represents 16 actual miles.
Answer:
C p^2 - p - 5
Step-by-step explanation:
Combine like terms (p^2, p, numbers)
4p^2 - 3p^2 = p^2
-5p + 4p = -p
3 - 8 = -5
Answer:
One circle, One Circle, One rectangle
Step-by-step explanation:
Answer:
Vertically opposite angles are equal.
Therefore,
![(4x + 7) = 5(x - 4) \\ 4x + 7 = 5x - 20 \\ \boxed{x = 27}](https://tex.z-dn.net/?f=%284x%20%2B%207%29%20%3D%205%28x%20-%204%29%20%5C%5C%204x%20%2B%207%20%3D%205x%20-%2020%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%2027%7D)
<h3><u>x=27</u> is the right answer.</h3>
Step-by-step explanation:
You can look this answers up off the paper and find the worksheet