Mathematics, 22.07.2019 05:20 tori829

Monica is currently 400 miles from home and is traveling 50 mph. her sister marcia is 300 miles from home and is traveling at a rate of 30 mph. at what time will monica and marcia be at the same distance from home? what is the distance?

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This assumes that the 2 girls are traveling in the same direction! Are they traveling FROM Home or TO Home? Gotta figure that out.

If FROM Home:

Monica's trip is defined by Mon(t) = 400 mi + (50 mph)t, and

Marcia's trip is defined by Mar(t) = 300 mi + (30 mph)t

We must set these equal to one another and try to solve for time, t:

400+50t = 300+30t then 100= -20t. This results in a negative time answer, which is not possible.

Therefore, we must assume that the 2 girls are traveling TO Home.

Monica's trip is defined by Mon(t) = 400 mi - (50 mph)t, and

Marcia's trip is defined by Mar(t) = 300 mi - (30 mph)t

When do they meet? Solve 400 - 50t = 300 - 30t

100 = 20t, and t = 5 hours (answer)

Answer from: Quest

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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Monica is currently 400 miles from home and is traveling 50 mph. her sister marcia is 300 miles from...

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