Which situation results in a final value of exactly zero? a the temperature outside was 15 degrees below 0 at 7: 00 a.m. the temperature rose 3 degrees each of the next 4 hours. b hector earned $7: 40 for each of 8 hours of work. he used $60 of this money to buy video games. c mrs. kaplan received an order to bake 120 cookies. she completed the order by baking 24 cookies every 30 minutes over a period of 5 hours. d a runner ran up hill during 2.4 minutes at a rate of 30 feet per minute. the runner ran downhill diring 1.2 minutes at a rate of 15 feet per minute.

A ) 15degrees below 0 is -15degrees. 3 x 4 = 12. So -15 + 12 = -3. Therefore, A does not equal the value of 0

B) $7.40 x 8 = $59.20. $59.20 - $60 = -$0.80. Therefore, B does not equal the value of 0.

C) 30 mins is equivalent to 1/2 of 1hr. 24 x 0.5 = 12
If 30 mins = 1/2 hour and its over period of 5 hours then a shortcut to solve this would be 10(12) ,as double the amount of 5 is 10. 10 x ( 24 x 0.5) in short = 10(12)
10x12 = 120
Therefore C equals exact value of 0

D) (just for proof) 2.4 x 30 = 72 , 1.2 x 15 = 18
72-18 = 54. Therefore, D does not equal the value of 0

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

Similarly, we check the length of HJ, to get;

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)