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Natali5045456 [20]
3 years ago
5

The scale of a square map indicates that each inch on the map

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

Area of land: 800 miles.

Step-by-step explanation:

Since the map is a square, you can assume that all 4 sides will equal 8 inches. (Giving you a perimeter of 32, and an area of 64.) Since each inch corresponds to 5 miles, you multiply 8 by 5 which equals 40.

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An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 10 minutes. It takes 20 minu
IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking​ rate, so athlete's jogging speed would be x+5 miles per hour.

\text{Distance}=\text{Rate}\cdot \text{Time}

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}

D_{\text{walking}}=\frac{x}{3}

While jogging, we will get D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}

D_{\text{jogging}}= \frac{(x+5)}{6}

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

\frac{x}{3}=\frac{x+5}{6}

Cross multiply:

6x=3x+15

6x-3x=15

3x=15

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Therefore, athlete's walking speed is 5 miles per hour.

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Therefore, athlete's jogging speed is 10 miles per hour.

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