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2 years ago

Which answer represents a proportional relationship?

Mathematics

1 answer:

allsm [11]2 years ago

3 0

The second option with the chart

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A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2

sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Step-by-step explanation:

Considering the following information

$1$ cup = $1$ cup

$7$ pints = $14$ cups ∵ $1$ pint = $2$ cups
$9$ quarts = $36$ cups ∵ $1$ quart = $4$ cups

So, total number of cups will be = $51$ cups

Converting $51$ to the base $2$

Divide $51$ by $2$ by repeatedly and observe remainder

$\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1$

$\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1$

$\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0$

$\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0$

$\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1$

$\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1$

Read and observe the remainder from top to bottom would yield $110011$ .

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Keywords: base 2, number

Learn more about number bases from brainly.com/question/13725148

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He can put 3 on each page to get 9 because 3×3=9

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