MATHEMATICS HIGH SCHOOL

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answers

Answer 1
Answer: Given:
304 miles on 19/2 gallons of gasoline.

304 miles ÷ 19/2 gallons = 304 miles * 2/19 gallon = 608 /19 = 32 miles per gallon.

Compute unit rate of each choices.
a) 187 miles ÷ 17/2 gallons = 187 * 2/17 = 374/17 = 22 miles per gallon
b) 357 miles ÷ 21/2 gallons = 357 * 2/21 = 714/21 = 34 miles per gallon
c) 216 miles ÷ 27/2 gallons = 216 * 2/27 = 432/27 = 16 miles per gallon
d) 209 miles ÷ 11/2 gallons = 209 * 2/11 = 418/11 = 38 miles per gallon
e) 115 miles ÷ 5/2 gallons = 115 * 2/5 = 230/5 = 46 miles per gallon

The car with the greater unit rate of miles per gallon than the recommended car is CHOICE E. 46 MILES PER GALLON

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An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 as the value of pi .

Answers

r = 6 in;
60° = 1/6 · 360°
The area of the slice of pie:
A = 1/6 · r² · π
A = 1/6 · 6² · 3.14 = 18.84 in²
An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie?

Answer: This problem is simple. To find the area of that slice of pie we will need to do the following: radius = diameter / 2. Therefore by replacing the values we will get 12 /2 = 6. Finally we use this formula and solve for the answer Area = πr²Θ / 360. The correct answer you should get is 18.84 in².

I hope it helps, Regards.

Which explanation correctly solves this problem? Reggie was fixing his fence. At the end of the day, he had 13.5 feet of fence left over. During the day, he had used one 2.5-foot-long piece of fence, two 6.75-foot-long pieces, and one 12-foot-long piece.

How many feet of fence did Reggie have at the beginning of the day?

A.
Start with 13.5. Add 2.5 to it. Add 6.75 to the sum. Then add 12 to the answer.

B.
Start with 13.5. Add 2.5 and 6.75 and 12. Add this sum to 13.5.

C.
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Answers

Given:
Left over fence: 13.5 feet
Used during the day:
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6.75 ft - 2 pcs
12 ft - 1 pc

Length of fence at the beginning of the day.

2.5ft(1) + 6.75ft(2) + 12ft(1) + 13.5ft(1) 
2.5 ft + 13.5 ft + 12ft + 13.5ft = 41.5 ft 

C.
Start with 13.5. Add 2.5 to it. Multiply 6.75 by 2 and add the sum and the product together. Then add 12 to the answer.

I believe it is C :) please tell me if i am wrong UvU                          

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Answers

Answer:

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Step-by-step explanation:

~Hoped this helped~

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is 14.8099
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Answers

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GO PLATO USERS
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Answers

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