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.

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Answer:

I think it is 12 cm...

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Step-by-step explanation:

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18
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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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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.

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Answer:

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2. athletics is 30%, gov is 0.07 %, band is 21%, fund raising is 15%, scholars team is 14%

Step-by-step explanation:

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Answers

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Maya is driving 120 miles to her grandmother’s house. She drives 35% of the distance before stopping for lunch. How far does she drive before lunch?

A. 78 miles
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D. 42 miles

Answers

your answer is c. 85 miles your welcome

Evaluate the expression 2(5x -3y) if x = -1/2 and y = 1

Answers

the answer is -11!
once plugged in, the new equation would be 2(-2.5 -3)
this would equal 2(-5.5)
the final answer would be -11

Help Pleaeaeaeaeaeaeaeaeaeaeease

Answers

Answer:

x=5

Step-by-step explanation:

First distribute then go from there
Your answer should be X=5

can someone help me out? :P (serious answers only.)

Answers

Answer:

The answer is C 841.62.

I actually got 842.11, but C is the closest answer so that's gonna be the one.

Step-by-step explanation:

explanation to top answer^^^^^ first fine the area of the triangle. you have the diameter, 35, so it should be easy to figure it out. all you have to do next is find the area of the triangle, and then subtract the area of the triangle from the area of the circle!

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Answer:

78 degrees

Step-by-step explanation:

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The formula for calculating power is work divided by time (power = work ÷ time). What are two ways of stating the same relationship?

Answers

Answer:

1. work= time x power

2. work ÷ power = time

Step-by-step explanation:

hope this helps :)

Answer:

work=time x power

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Step-by-step explanation:

how many pieces of string, each 1/5 m long, can be cut from a string 3 m long?

Answers

Answer:

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Step-by-step explanation:

15 pieces of string.

I'd like an explanation on how to factor and simplify 1 - 2sin²x + sin⁴x and turn that into cos⁴x

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Answer:

I unveil the mysteries and secrets of trigonometry & you'll love it.

Step-by-step explanation:

Which property is illustrated by the statement 8+2 = 2+8
a. associative
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Answers

Answer:

B. Commutative

Step-by-step explanation:

Commutative means to swap or moved from their positions.Hope this helps

B:commutative

It means to switch there places from there original spots hope this helps

Find the percent of decrease from 12 home runs to 9 home runs. I need this FAST!

Answers

Answer:

75%

Step-by-step explanation:

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PLZ HELP!!
MATCHING: Compare the fractions from Column B to the given percent's in Column A. Match the fractions that are the closest values of the given percent's. Not all fractions will be used.
Column A
1. ___ 41%
2. ___ 23%
3. ___ 98%
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Answers

1. K

2. C

3. D

4. E

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Answers

Answer:

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Step-by-step explanation:

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B. Point G, because if cups of frosting are 40, then drops of food coloring will be 20

C. Point T, because if cups of frosting are 50, then drops of food coloring will be 100

D. Point G, because if drops of food coloring are 40, then cups of frosting will be 20

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Answers

I believe the answer is b

A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
rainliest plz solve

Answers

Riverside and Smithville will be 9 km apart on the map. For every 6 km they will be 1 cm apart on the map.

54 km is 3 times of 18km and 3 times of 3 cm is 9 cm. So, Riverside and Smithville are 9 cm apart on the map.

Ratio and proportion:

Important information:

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

We need to find the distance between Riverside and Smithville in the map.

Let x cm be the distance between Riverside and Smithville in the map. The distance in the map and the actual distance are always proportional.

[tex]\dfrac{x}{54}=\dfrac{3}{18}[/tex]

[tex]x=\dfrac{3}{18}\times 54[/tex]

[tex]x=9[/tex]

Therefore, Riverside and Smithville are 9 cm apart on the map.

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The answer is the fourth one
If I’m correct I believe it’s 4.

find the surface area, please

Answers

Answer:

52 cm^2

Step-by-step explanation:

6+12+8+26

26x2=52

Answer:24 or 32

i hope this helps and stay safe!!!!! <3

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:

8 quarts is 32 cups
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Answers

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Answers

You would maybe receive 12 gifts like the name implies?

Answer:

You would get 78 gifts. I think. The movie is Elf

Step-by-step explanation:

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