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yKpoI14uk [10]
4 years ago
15

You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to

be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.
Mathematics
2 answers:
Cerrena [4.2K]4 years ago
4 0
Set up an equality with proportional relations:

x/10.5=3/5  multiply both sides by 10.5

x=31.5/5

x=6.3
Ksju [112]4 years ago
3 0
So for a 3 by 5 to be enlarged to where one side is 10.5, it must have been multiplied by 2.1 or it won't fit onto the new paper. So you multiply the other number, 3, by 2.1 and get the answer 6.3
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The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

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220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

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Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

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The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

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Solve for T, million tons of steel produced.

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3 years ago
How can you use mental math to multiply numbers by 10?
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Answer:

add a zero at the end of the number. 5x10=50. 60x10=600. 700x10=7000 etc.

Step-by-step explanation:

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write out the equation:

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