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Yuliya22 [10]
3 years ago
12

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes

weigh 25 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4300 pounds in boxes, how many of each type of box is it carrying?
Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

50(115-y) + 25y = 4125             [from eq2]

    5750 - 50y  + 25y = 4125           [distribute]

    5750 - 25y = 4125

     -25y = -1625

        y = 65             [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

 x = 115 - y

 x = 115 - 65

 x = 50

 There are 50 large boxes.

- Mring0506

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Mademuasel [1]

soln,

here area of base = 25/4 unit ^ 2

height of the prism = 8/5 unit

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What does standard deviation mean?
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For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.

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4 0
3 years ago
The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

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  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

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2 years ago
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