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daser333 [38]
4 years ago
7

Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

r less than the other's. If they meet in 2 hours, what is the rate of the slower car?
Mathematics
1 answer:
mixer [17]4 years ago
5 0
Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

 they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
 
they drove 360 km
 so you have 2x + 2(x-12) = 360
 solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour



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7/2

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8. Jose decides to rent an apartment and split the cost evenly with a roommate. They each paid $775 towards
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The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How m
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Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

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Total tickets = x+4x+2x = 7x =294

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levacccp [35]

Answer:

110.5 yd²

Step-by-step explanation:

Separate the figure into 1 triangle and 3 rectangles.

(see attached image)

<u>Area 1</u>

Area of a triangle = 1/2 × base × height

                             = 1/2 × (7 + 2 + 2) × 7

                             = 1/2 × 11 × 7

                             = 38.5 yd²

<u>Area 2</u>

Area of a rectangle = width × length

                                 = 3 × (5 + 2 + 2)

                                 = 3 × 9

                                 = 27  yd²

<u>Area 3</u>

Area of a rectangle = width × length

                                 = 5 × (5 + 2)

                                 = 5 × 7

                                 = 35  yd²

<u>Area 4</u>

Area of a rectangle = width × length

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                                 = 10  yd²

<u>Total Area</u>

Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10

                                                        = 110.5 yd²

3 0
2 years ago
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