Mathematics Middle School

A bus travels two different routes: the Green Route and the Blue Route. The routes are
different lengths.
• On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times,
traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times,
traveling a total of 119 miles.
What is the length of the Green Route in miles?

Answers

Answer 1

Set up a system of equations and say green route is x and blue route is y

This will give you

Monday 6x + 5y= 52

Tuesday 12x + 13y = 119

Solve by multiplying the top equation by two to get

12x + 10y= 104

Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with

-3y=-15

Y=5

The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday

12x + 13 (5) = 119

12x= 54

X= 4.5

This means that the answer is 4.5 miles

Answer 2

The length of the Green Route in miles is 4.5 miles.

Formulate an equation for Monday and Tuesday

Monday

6x + 5y= 52............Equation 1

Tuesday

12x + 13y = 119............Equation 2

Multiply the equation  

12x + 10y= 104

-3y=-15

Divide both side by 3y

y=15/3

y=5

Plug in 5 into equation 2

12x + 13 (5) = 119

12x+65=119

12x=119-65

12x= 54

Divide both side by 12x

x=54/12

x= 4.5 miles

Inconclusion the length of the Green Route in miles is 4.5 miles.

Learn more about length here:https://brainly.com/question/24259483

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1. ___ 41%
2. ___ 23%
3. ___ 98%
4. ___ 67%
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C. 1/4
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer:

16 square units

Step-by-step explanation:

The formula for the area of a right triangle is ab/2 (a and b both being legs).

First, we find the legs' length which is MK and JK.

Since both points J and K are on the same y level, we look at the X coordinates and see how far apart they are.

Since both points M and K are on the same x level, we look at the Y coordinate.

M is 4 points away from K, so the leg MK is 4 units long.

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Bobby runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How many quarts of lemonade does he have left?

Answers

Answer:

2 quarts left

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Ratio and proportion:

Important information:

The given scaling ratio is 3 cm : 18 km.Riverside and Smithville are 54 km apart.

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[tex]x=9[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Answers

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Answers

I believe the answer is b
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