Get the x variable on one side and the numbers another side.

9/10(x + 2/3) = 4 1/2

Distribute the 9/10 across the x and 2/3.

(9/10)x + 18/30 = 4 1/2

Simplify 18/30 to make our life easier.

(9/10)x + 3/5 = 4 1/2

Subtract 3/5 from each side of the equation.

(9/10)x = 3 9/10

Divide both sides by 9/10.

x = 4 1/3

4 0

3 years ago

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Madison is picking out some movies to rent, and she has narrowed down her selections to 7 foreign films, 3 horror films, 6 actio

Aleksandr [31]

${_{16}C_5}=\dfrac{16!}{5!11!}=\dfrac{12\cdot13\cdot14\cdot15\cdot16}{2\cdot3\cdot4\cdot5}=4368$

8 0

3 years ago

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The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

Darina [25.2K]

X = older brother
y = younger brother

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

$( \frac{2y}{3} + 8) / y +8 = \frac{3}{4}$
$(2y + 24)/3 = y + 8 = \frac{3}{4}$
$2y + 24 = 3 (y + 8) = \frac{3}{4}$
$2y + 24 = 3y + 24 = \frac{3}{4}$
$4 (2y + 24) = 3 (3y + 24)$
$8y + 96 = 9y + 72$
$y = 24$

The age of the older brother is 24.

$x = \frac{2y}{3} = \frac{2*24}{3}$
$x = \frac{48}{3}$
$x = 16$

The age of the youngest brother is 16.

5 0

3 years ago

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A phone company offers two monthly plans. Plan A costs

Rus_ich [418]

For plan A it will only take five minutes to amount to $20.50

Plan B will need 30 min to cost the same as plan A $20.50

3 0

3 years ago

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