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2 years ago

Help please , need answer ASAP

Mathematics

1 answer:

pantera1 [17]2 years ago

7 0

Answer:

(fg)(9) = 948

Step-by-step explanation:

(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)

(fg)(9) = 948

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It should be around 0.1335 or 13.35%

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3 years ago

The populations and land areas of four cities in Texas are shown. Which statements are true? Check all that apply. The populatio

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3 years ago

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If the base of a triangle is represented by 2x+5 and the height is represented by 4x which expression represents the area of the

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Step-by-step explanation:

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2 years ago

What is the fraction 18/24 reduced to its lowest terms?

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First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
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GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

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24 ÷ 6 = 4

Set these as your new numerator and denominator.

$\frac{3}{4}$

The answer is (b).

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3 years ago

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Adam started to run at a rate of 6 mph from city A towards city B, which is 18 miles away. Ten minutes later, Benjamin started t

amm1812

Answer:

Benjamin's rate in mph was 6.44

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Rate or speed of Adam = 6 mph
Ten minutes later, Benjamin started to run from city B towards city A
Simultaneously, Caroline started to bicycle at a rate of 11 mph from city A towards city B

2. If Caroline caught up to Benjamin 50 minutes after passing Adam, what was Benjamin's rate in mph?

A. Let's calculate when Caroline caught up Adam:

Adam's rate = 6 mph

Caroline's rate = 11 mph

10 minutes = 1/6 of an hour

Distance covered by Adam when Caroline started to bike = 6 * 1/6 = 1 mile

t = Time it took Caroline to catch up to Adam

Therefore, we can solve for t, this way:

11t = 6t + 1

11t - 6t = 1

5t = 1

t = 1/5 of an hour

t = 12 minutes

Caroline passed Adam after biking 12 minutes, therefore she caught up to Benjamin 50 minutes later, or after 62 minutes.

B. Let's calculate the distance she covered after 62 minutes, this way:

62 minutes = 1 hour and 2 minutes or 1 2/60 or 1.03

Distance covered by Caroline = Time * rate

Replacing with the values we have:

Distance covered by Caroline = 1 2/60 * 11

Distance covered by Caroline = 11 11/30 or 11.37 miles

Let's recall the distance from city A to city B is 18 miles, therefore Benjamin covered 6.63 miles (18 - 11.37) when Caroline caught up to him

C. Finally let's calculate Benjamin's rate, this way:

Rate = Distance/Time

Replacing with the values we know:

Rate = 6.63/1.03

Rate = 6.44 mph (rounding to the next hundredth)

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3 years ago