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Softa [21]
2 years ago
8

A cyclist rides 24 miles at an average speed of 9 miles per hour. At what rate must the cyclist cover the next 20 miles in order

to bring the overall average speed up to 12 miles per hour? The cyclist must ride at 00 miles per hour.​
Mathematics
1 answer:
larisa86 [58]2 years ago
5 0

Answer:

20 m/hr

Step-by-step explanation:

distance / rate = time

24 miles / 9 miles/hr  = 2 2/3 hr

(24 + 20 miles) / 12 miles/hr = 3 2/3 hr

3 2/3  -  2 2/3 = 1 hour to ride the next 20 miles   means  20 m/hr

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Geometry! Please help!!
krek1111 [17]
Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5    Cross Multiply
49.5 * 97.5 = 71.5 * x   Combine the numbers on the left.
4860.375 = 71.5 * x     Divide by 71.5
4860.375 / 71.5 = x      
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26  <<<< answer
6 0
3 years ago
19. What is the equation of the line in slope-intercept form that passes through the point (24,9) and 1/8
Y_Kistochka [10]

Answer:

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Step-by-step explanation:

y-y1=m(x-x1)

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y=1/8x-24/8+9

y=1/8x-3+9

y=1/8x+6

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The area of a triangle is 150 square feet. If the base is 15 feet , calculate the height.
Evgen [1.6K]
The height would be 20 feet.
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Answer:

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Step-by-step explanation:

She has dropped less than Ben, so she is higher up.

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