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Deffense [45]
3 years ago
14

Write a unit rate for the situation. Round to the nearest hundredth if necessary.

Mathematics
2 answers:
labwork [276]3 years ago
8 0

Answer:  The correct option is

(D) 0.85 miles/min.

Step-by-step explanation:  We are given to find the unit rate for the following situation :

"driving 140 miles in 2 hour 45 min."

We know that

1 hour = 60 minutes.

So, we get

2 hours 45 minutes = 2 × 60 + 45 = 120 + 45 = 165 minutes.

Now, we will use the UNITARY method.

In 165 minutes, distance drove = 140 miles.

Therefore, in 1 minutes, distance drove is given by

\dfrac{140}{165}=0.848484...=0.85~\textup{miles}.

Thus, the required unit rate is 0.85 miles/minute.

Option (D) is CORRECT.

Paraphin [41]3 years ago
4 0
2 hr and 45 minutes is = to 165min, so do 140 divided by 165, and you will get 0.8484miles per minute, which is D
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<h3>Answer:  D) 31</h3>

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

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f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

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7 0
3 years ago
An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decim
Valentin [98]

Answer:

Gallons = 27.95

Step-by-step explanation:

Given

Gallons : Miles = 17:590

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

Gallons : 870= 17:590

Convert to fraction

\frac{Gallons}{870} = \frac{17}{590}

Multiply through  by 870

870 * \frac{Gallons}{870} = \frac{17}{590}*870

Gallons = \frac{17}{590}*970

Gallons = \frac{17*970}{590}

Gallons = \frac{16490}{590}

Gallons = 27.95

4 0
3 years ago
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