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3 years ago

Malia and her sister watched an action movie that was 2 hours and 5 minutes long. After

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

7 0

Answer: they started at 1:10 pm

maria [59]3 years ago

7 0

Answer:

1:10 P.M.

Step-by-step explanation:

2:05 was the movie duration

2:15 was the soccer duration

5:30 P.M. after soccer

5:30 - 2:15 = 3:15

3:15 - 2:05 = 1:10 (Quick Math)

Since the time did not go below 1 P.M., then it is considered P.M.

3:15 P.M.

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3 years ago

2. The sum of two numbers is 67. The

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2 years ago

Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t

marusya05 [52]

Answer:

A) both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

House 1

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

House 2

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

Value of House 1 after 30 years

f(x) = 7446.4(30) + 178713.6 = 402105.6

Value of House 2 after 30 years

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.

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3 years ago