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Flashcards: The Real and Complex Number Systems

If a server at a restaurant gets a $15\%$ $\displaystyle 15\%$ tip on a bill of $\$57$ $\displaystyle \$57$ , then what will be the amount of the tip?

$\$8.55$ $\displaystyle \$8.55$

$\$8.60$ $\displaystyle \$8.60$

$\$8.50$ $\displaystyle \$8.50$

$\$8.45$ $\displaystyle \$8.45$

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Flashcards: The Real and Complex Number Systems

If a server at a restaurant gets a $15\%$ $\displaystyle 15\%$ tip on a bill of $\$57$ $\displaystyle \$57$ , then what will be the amount of the tip?

$\$8.55$ $\displaystyle \$8.55$

$\$8.60$ $\displaystyle \$8.60$

$\$8.50$ $\displaystyle \$8.50$

$\$8.45$ $\displaystyle \$8.45$

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Flashcards: The Real and Complex Number Systems

If a server at a restaurant gets a $15\%$ $\displaystyle 15\%$ tip on a bill of $\$57$ $\displaystyle \$57$ , then what will be the amount of the tip?

Your answer:

$\$8.60$ $\displaystyle \$8.60$

Your answer:

$\$8.50$ $\displaystyle \$8.50$

Your answer:

$\$8.45$ $\displaystyle \$8.45$

Correct answer:

$\$8.55$ $\displaystyle \$8.55$

Explanation:

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be $15\%$ $\displaystyle 15\%$ of $\$57$ $\displaystyle \$57$ . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15\%\rightarrow0.15$ $\displaystyle 15\%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}57\\ \times\ .15\end{array}}{ \ \ \space 8.55}$ $\displaystyle \frac{\begin{array}[b]{r}57\\ \times\ .15\end{array}}{ \ \ \space 8.55}$

The server's tip will be $\$8.55$ $\displaystyle \$8.55$

Flashcards: The Real and Complex Number Systems

Solve:

-8+16 $\displaystyle -8+16$

$\displaystyle 8$

$\displaystyle -16$

$\displaystyle 24$

$\displaystyle -8$

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Flashcards: The Real and Complex Number Systems

Solve:

-8+16 $\displaystyle -8+16$

Your answer:

$\displaystyle -16$

Your answer:

$\displaystyle 24$

Your answer:

$\displaystyle -8$

Correct answer:

$\displaystyle 8$

Explanation:

In order to solve this problem, we need to start at $\displaystyle -8$ on the number line.

Next, we have +16 $\displaystyle +16$ which means we need to move $\displaystyle 16$ places to the right on the number line. When we have an addition sign (+) $\displaystyle (+)$ we move to the right because that is towards the positive side of the number line. When we have a subtraction sign (-) $\displaystyle (-)$ we move to the left because that is towards the negative side of the number line.

8 16

The orange arrow moved $\displaystyle 16$ places to the right, and ended at $\displaystyle 8$ ; thus,

-8+16=8 $\displaystyle -8+16=8$

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