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WINSTONCH [101]
3 years ago
10

3. What is the average speed in miles per hour if it takes 25 minutes to travel 4 miles?

Mathematics
2 answers:
alekssr [168]3 years ago
6 0

Answer:

9.6 miles per hour

Step-by-step explanation:

First find the unit rate.

25/4= 0.16 miles per minute

Then multiply by 60 ( which we know theres 60 minutes in a hour.)

0.16x60=9.6

Ghella [55]3 years ago
5 0
9.6 miles per hour is the average speed in miles per hour that takes 25 minutes to travel 4 miles.
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Matt and Tikka thought of the same number. Matt added 7 to that number and then doubled the result. He got 26. Tikka did the sam
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Answer:

19

Step-by-step explanation:

Matt ended up with 26.

We reverse the steps he did to get the original number that both people thought of.

26 / 2 = 13

13 - 7 = 6

6 is the original number.

Tikka did the same operations but in the reverse order so...

6 X 2 = 12

12 + 7 = 19

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Step-by-step explanation:

They are the only two lines relating to angles 8 and 11 of the three listed pairs.

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A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
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