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Kitty [74]
4 years ago
10

Aaron is going to a carnival that has games and rides. Each game costs $2.75 and each ride costs $4.75. Aaron spent $20.50 altog

ether at the carnival and the number of games he played is twice the number of rides he went on. Determine the number of games Aaron played and the number of rides Aaron went on.
Mathematics
1 answer:
serg [7]4 years ago
3 0

Answer:

Step-by-step explanation:

2.75g + 4.75r = 20.50

g = 2r

2.75(2r) + 4.75r = 20.50

5.50r + 4.75r = 20.50

10.25r = 20.50

r = 20.50 / 10.25

r = 2 <==== Aaron went on 2 rides

g = 2r

g = 2(2)

g = 4 <==== Aaron played 4 games

check...

2.75g + 4.75r = 20.50

2.75(4) + 4.75(2) = 20.50

11 + 9.5 = 20.50

20.50 = 20.50 (correct)

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Two trains leave stations 546 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour
Ira Lisetskai [31]

<u>Answer:</u>

It will take 2 hours 36 minutes for the two trains to meet.

<u>Step-by-step explanation:</u>

The distance between the two trains is decreasing by 95+115= 210miles per hour, which can be written as \frac{210 miles}{1 hour}.

So at this rate, the distance between the trains will be reduced to zero in:

\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}

= \frac{546}{210} = 2.6 hours

Changing 2.6 hours to hours and minutes:

2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes

Therefore, it will take 2 hours 36 minutes for the two trains to meet.

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3 years ago
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Ms. Murray asked her twenty students how many national parks each of them had visited.
Alexeev081 [22]
First you must add up all of the numbers. Then divide the sum by the number of students in the class. You will get 2.65 as your answer. Then round to the nearest number. Your final answer is 3.
5 0
4 years ago
Read 2 more answers
Solve the inequality 12(1/2x-1/3)&gt;8-2x
Setler [38]

Answer:

The answer is

<h2>x >  \frac{3}{2}</h2>

Step-by-step explanation:

<h3>12( \frac{1}{2} x -  \frac{1}{3} ) > 8 - 2x</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>6x - 4 > 8 - 2x</h3>

Move - 2x to the left side of the inequality to make it positive

<h3>6x + 2x - 4 > 8 \\ 8x - 4 > 8</h3>

<u>Add 4 to both sides</u>

That's

<h3>8x - 4 + 4 > 8 + 4 \\ 8x > 12</h3>

<u>Divide both sides by 8</u>

<h3>\frac{8x}{8}  >  \frac{12}{8}</h3>

We have the final answer as

<h3>x >  \frac{3}{2}</h3>

Hope this helps you

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3 years ago
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With this question, you are just going to add up the three numbers

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Hope I helped!

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