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olganol [36]
2 years ago
5

A runner finished a total of 1500 kilometers in races before retiring she finished thirty-two 15 kilometer races. The rest of he

r races were10-kilometer races. How many of her races were 10 kilometer races?
( this is my sister question she doesn't have brainly :) )
Mathematics
2 answers:
Triss [41]2 years ago
8 0

Answer:

102 of runner's races were 10-kilometer races.

Ahat [919]2 years ago
3 0

Answer: 1020

Step-by-step explanation:

In a 5000 m race, the athletes run 12(1)/(2) laps; each lap is 400m . Kara runs the race at a constant pace and finishes in 17.5 min. Hannah runs the race in a blistering 15.3min,  so fast that she actually passes Kara during the race. How many laps has Hannah run when she passes Kara?

Hope This Helps!

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nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
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Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

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3 years ago
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What is an equivalent expression for (x + 7)(x + 1).
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Step-by-step explanation:

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3 years ago
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dolphi86 [110]
Check the picture below.

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\bf \stackrel{\textit{front and back}}{2(5\cdot 25)}~~~~+~~~~\stackrel{\textit{left and right}}{2(2\cdot 25)}

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