The ratio of Isabella’s money to Shane’s money is 3:11

Isabella has $33.

We can make a proportion to solve for how much money Shane has.
A proportion is two ratios that are set equal to each other.

Let’s call Shane’s money ‘S’

We get this proportion: 3/11 = 33/x

If we cross multiply we get:
(33) * (11) = (3) * (x)

Simplifying it, we get:
363 = (3) * (x)

Divide both sides by 3, we get:
x = 121

However, the question asks how much money they have together.

Isabella + Shane = Total
33 + 121 = $154

They have $154 together.

6 0

2 years ago

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Solve the system by substitution. - 8x + y = -32 - 3x – 10 = y (,)

agasfer [191]

Answer:

$x=2,\:y=-16$

Step-by-step explanation:

$\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\$

$-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16$

3 0

2 years ago

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Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

GarryVolchara [31]

10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100

4 0

2 years ago