$30 \div \frac{1}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:30=\frac{30}{1}\\=\frac{30}{1}\div \frac{1}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{30}{1}\times \frac{3}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=30\times \:3\\\\=90$

7 0

3 years ago

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The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.

iren [92.7K]

X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.

5 0

3 years ago

A team of rum runners is needed to run a 1/4 mile relay race if each runner must run 1/16 mile how many runners will be needed

mina [271]

You should multiply and than simplify

6 0

3 years ago

Lester makes a string of beads 17 inches long. Jill makes a string of beads that is 3 inches longer than Lester’s. They put thei

Komok [63]

Lester-17
Jill-17+3=20
Together 17+20=37 inches.

6 0

3 years ago