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3 years ago

Ind 59:

Mathematics

1 answer:

Mila [183]3 years ago

3 0

Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.

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What is the x-value of the solution to the system of equations?

ValentinkaMS [17]

Answer:

The solution to the system of equations is:

$x=4,\:y=-3$

Step-by-step explanation:

Given the system of equations

$5x + 4y =8$

$2x- 3y = 17$

solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

$-23y=69$

$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

$10x=40$

Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

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3 years ago

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makvit [3.9K]

Hey there!

The answer would be B. y = 1.25x

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3 years ago

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