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Contact [7]
4 years ago
14

Maria needed school supplies to complete here digital learning day lessons. She ordered pencils and paper from Wal-mart. She spe

nt $12.25 and bought 5 pencils and 4 packages of paper. The paper cost $1.50 per package. Which equation could be used to solve for how much each pencil cost?
Mathematics
1 answer:
son4ous [18]4 years ago
6 0

Answer:

5x + 4($1.5) = $12.25

Step-by-step explanation:

Since we know that the paper is $1.50 per package and she bought 4 packages of paper, then she spent a total of $6 on the paper. Which leaves ($12.25-$6) $6.25 that she spent on buying 5 pencils. Now the cost per pencil can be derived by dividing $6.25/5, which is $1.25. Each pencil is $1.25.

The equation that can be used is the following where the cost per pencil is represented by x:

5x + 4($1.5) = $12.25

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Mya only used the dimensions from the scale drawing of a rectangle

Step-by-step explanation:

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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

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So we have

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<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

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<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

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