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3 years ago

The sum of the first and third of three consecutive even integers is 164. Find the three even integers.

1 answer:

7 0

The three even integers are 80, 82, and 84.

The sum of the first (80) and the third (84) integers = 80 + 84 = 164, verifying our answer.

A simple way to figure this out is to divide 164 by 2, which gives you 82. From this answer, if we subtract 2 to get the first integer and add 2 to get the third integer while keeping 82 as the second integer, we end up with the correct sum of 164.

Hope this helps!

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Let 's' represent the amount of sales.

Plan 1:

$\text{ \$700 + (4\% of s)}$ $\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}$

Plan 2:

$12\text{ \% of s}$ $\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}$

Equating the two plans together and solving for the amount of sales,

$\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}$

Collecting like terms,

$\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}$

Divide both sides by 0.08,

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Hence, the amount of sales is $8,750.

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1 year ago

1. Assume you took $2,500 in cash out of your savings account and bought a car worth

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Answer:

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Step-by-step explanation:

Net worth is the sum of all of your assets minus the liabilities.

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