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jolli1 [7]
2 years ago
13

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. A total of 26 boxes of paper were shipped with a combined volume of 254 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Mathematics
2 answers:
jok3333 [9.3K]2 years ago
8 0

Answer:14 small boxes and 12 large boxes were shipped.

Step-by-step explanation:

Let x represent the number of small boxes of paper that were shipped.

Let y represent the number of large boxes of paper that were shipped.

A total of 26 boxes of paper were shipped. This means that

x + y = 26

The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The total number of boxes shipped have a combined volume of 254 cubic feet. This means that

7x + 13y = 254 - - - - - - - - - - - - 1

Substituting x = 26 - y into equation 1, it becomes

7(26 - y) + 13y = 254

182 - 7y + 13y = 254

- 7y + 13y = 254 - 182

6y = 72

y = 72/6 = 12

x = 26 - y = 26 - 12

x = 14

Gala2k [10]2 years ago
5 0

Step-by-step explanation:

Let's say S is the number of small boxes and L is the number of large boxes.

S + L = 26

7S + 13L = 254

Solve the system of equations using substitution.

7S + 13(26 − S) = 254

7S + 338 − 13S = 254

84 − 6S = 0

S = 14

L = 26 − S

L = 12

The company shipped 14 small boxes and 12 large boxes.

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Keith_Richards [23]

Answer:

Deleted account

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

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Slope (m) = 3

Step-by-step explanation:

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2 years ago
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The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
jek_recluse [69]

Answer:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

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And replacing we got:

150 = 12y

And we got:

y = \frac{150}{12}= 12.5

And for x we got:

x = 26 +4*12.5 = 76

So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

P= 2x+2y

Where x represent the length and y the the width. We can set the following conditions:

x = 26 +4y

And if we replace the conditions we got:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

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150 = 12y

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y = \frac{150}{12}= 12.5

And for x we got:

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6 0
2 years ago
Which graph best represents the following situation? As x increases, y decreases; r=-0.87.
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Answer:

Graph A.

Step-by-step explanation:

The X-Axis refers to strictly horizontal movement, so the farther right it moves, the lower the dots should be on the graph because (x+,y-).

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The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin
tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

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