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Gennadij [26K]
3 years ago
8

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 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435. Determine the number of small boxes shipped and the number of large boxes shipped.
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

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Answer:

\huge\boxed{\sf Right.}

Step-by-step explanation:

(-a+b)^2

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

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Hence, it has been proved that (-a + b)² = a² - 2ab + b².

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Write an algebraic expression for 10 less than the difference of 2 times a number and 7
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Answer:

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Step-by-step explanation:

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victus00 [196]
Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original. 

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Now place 3 in for each x. 

f(3) = 2(3)^2 + 5sqrt(3 - 2)

Now square the 3.

f(3) = 2(9) + 5 sqrt(3 - 2)

Do the subtraction inside of the parenthesis. 

f(3) = 2(9) + 5sqrt(1)

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f(3) = 2(9) + 5(1)

Multiply. 

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