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lina2011 [118]
3 years ago
12

After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, r

unning north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
(A) 1.5
(B) 2.25
(C) 3.0
(D) 3.25
(E) 4.75
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:A) 1.5

Step-by-step explanation: Bob runs at the rate of 8mins per mile

In 60mins his rate would be=60/8=7.5

Let a be the distance he further runs south

2s+3.25

Total distance covered in 50mins=Time=distance/speed=

50/60

50/60=2s +3.25/7.5

Cross multiply

60(2s+3.25)=50×7.5

120s+195=375

120s=375-195

S=180/120

S=1.5

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A ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s. Its height above the ground after x seconds is given
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Answer:

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Step-by-step explanation:

Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.

The velocity of the ball is zero at maximum height and it is expressed as:

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x = 32/32

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A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
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The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

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where

l = length

w = width

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The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

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The length and the width can be calculated as follows:

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