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Art [367]
3 years ago
11

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

small box of paper weighs 50 pounds and each large box of paper weighs 75 pounds. A total of 21 boxes of paper were shipped weighing 1400 pounds altogether. Determine the number of small boxes shipped and the number of large boxes shipped
Mathematics
1 answer:
Scilla [17]3 years ago
6 0

7 small boxes and 14 large boxes were shipped.

Step-by-step explanation:

Given,

Weight of small box = 50 pounds

Weight of large box = 75 pounds

Total boxes shipped = 21

Weight of shipped boxes = 1400 pounds

Let,

x represent the number of small boxes.

y represent the number of large boxes.

According to given statement;

x+y=21      Eqn 1

50x+75y=1400     Eqn 2

Multiplying Eqn 1 by 50

50(x+y=21)\\50x+50y=1050\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(50x+75y)-(50x+50y)=1400-1050\\50x+75y-50x-50y=350\\25y=350

Dividing both sides by 25

\frac{25y}{25}=\frac{350}{25}\\y=14

Putting y=14 in Eqn 1

x+14=21\\x=21-14\\x=7

7 small boxes and 14 large boxes were shipped.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/9607945
  • brainly.com/question/9590016

#LearnwithBrainly

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Answer:

18 credits if studying, if working this is usually monthly and does not reflect credit overload. Unless there are bank credit card payments to pay and normal charges.

Lets say charges are £20 a month and no student debt.

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Should Terrance require low interest credit his worth thereafter if rent was low at $1000 a month, he would be considered for maximum $880 repayment terms for short term new loans.

Step-by-step explanation:

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
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A) zeroes

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Zeroes ==> n - 3 = 0  or n -7 = 0
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They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

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P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

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C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



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