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lara31 [8.8K]
3 years ago
11

A fast car travels 420 miles in a period of 210 minutes. What is the adverage rate of change of distance of the car in miles per

hour over this time period?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
If you would like to know the average rate in miles per hour, you can calculate this using the following steps:

420 miles ... 210 minutes
x miles = ? ... 1 hour = 60 minutes

420 * 60 = 210 * x
x = 420 * 60 / 210
x = 120 miles

The correct result would be 120 miles per hour.
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Read 2 more answers
Question 1
arlik [135]

Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2

(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13

The perimeter of the triangle is 5 + 12 + 13 = 30

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the sum of the digits of a two digit number is 10. if the digits are reversed, the new number will be 18 more than the original
bearhunter [10]
<span>t+u = 10
10u+t= 10t+u-54
Rearrange:
t+u=10
9t-9u=54
Simplify:

1st; t+u=10
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Add 1st and 2nd and solve for t,as follows:
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t = 8
Substitute in t+u=10 to solve for u:
8+u=10
u = 2
Original Number = 82</span>
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3 years ago
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