3 years ago

Write a variable expression for the sum of a number w and 2

Mathematics

1 answer:

Eva8 [605]3 years ago

4 0

<span>Write a variable expression for the sum of a number w and 2:

w + 2</span>

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Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra

Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

$\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10$

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

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Step-by-step explanation:

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The simplified version of this equation would be

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