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marissa [1.9K]
3 years ago
15

Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walter drove 480 miles on 32 gallons of gas. SHOW YOUR WORK.

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
Mrs. Walters : 360/25 = 14.4 miles per gallon
Mr. Walter : 480/32 = 15 miles per gallon

Mr. Walter is getting better mileage per gallon


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\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74

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Please help me out with this math problem
Novosadov [1.4K]
Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

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

Explanation:

Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y

The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi

Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi

Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region

Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
74.812% ---> 74.8%

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Answer:

A

Step-by-step explanation:

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3 years ago
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