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3 years ago

Solve and show your work please!x+7=2(3x-4)

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

x + 7 = 2(3x - 4) Remove the brackets

x + 7 = 2*3x - 4*2

x + 7 = 6x - 8 Subtract 7 from both sides.

x + 7 - 7 = 6x - 8 - 7

x = 6x - 15 Subtract 6x from both sides

x - 6x = - 15

-5x = - 15 Divide by -5

-5x/-5 = -15/-5

x = 3

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Aneli [31]

Answer:

181 mi^2

Step-by-step explanation:

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3 years ago

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Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in

otez555 [7]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

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$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each of the five containers is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

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Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

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3 years ago

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Answer:

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3 years ago

the sales per tax on a printer that cost $180 is 6%. What is the total cost of the printer including the sales tax? Show work an

kompoz [17]

Answer:

10.8

Step-by-step explanation:

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3 years ago

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alexdok [17]

Answer:

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Step-by-step explanation:

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2 years ago

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