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3 years ago

3(1-2x)=1/4(6x+9) what does x equal? A) x=1/10 B) x=7/10 C) x=-12/7 D)x=-1/5

Mathematics

2 answers:

harina [27]3 years ago

7 0

Answer:

Step-by-step explanation:

3(1-2x)=1/4(6x+9)

3-6x=1 1/2x+2 1/4

-2 1/4 -2 1/4

3/4-6x=1 1/2x

+6x +6x

3/4=7 1/2x

/7 1/2 /7 1/2

1/10=x

dalvyx [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$3\left(1-2x\right)=\frac{1}{4}\left(6x+9\right)\quad:\quad x=\frac{1}{10}\quad\left(\mathrm{Decimal}:\quad x=0.1\right)$

3\left(1-2x\right)=\frac{1}{4}\left(6x+9\right)

$3\left(1-2x\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad\:a\left(b-c\right)=ab-ac$

$a=3,\:b=1,\:c=2x$

$=3\cdot\:1-3\cdot\:2x$

=3-6x

3-6x=\frac{3}{2}x+\frac{9}{4}

3-6x-3=\frac{3}{2}x+\frac{9}{4}-3

-6x=-\frac{3}{4}+\frac{3}{2}x

-6x-\frac{3}{2}x=-\frac{3}{4}+\frac{3}{2}x-\frac{3}{2}x

-\frac{15}{2}x=-\frac{3}{4}

2\left(-\frac{15}{2}x\right)=2\left(-\frac{3}{4}\right)

-15x=-\frac{3}{2}

\frac{-15x}{-15}=\frac{-\frac{3}{2}}{-15}

x=\frac{1}{10}

Hope I helped

Brainliest plz

Sorry about all this work

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Step-by-step explanation:

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8 0

3 years ago

The city council plans to build a new water storage tank for the community. The tank is cylindrical with a base diameter of 25 f

Stella [2.4K]

Answer:

a. $14726.216ft^{3}$

b. $110446.62gal$

Step-by-step explanation:

I attach the diagram of the new water tank.

a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures $25ft$ and its height is $30ft$ .

The volume ''V'' of a cylinder is :

$V=(\frac{\pi D^{2}}{4}).(H)$

Where '' $D$ '' is the diameter of the base and '' $H$ '' is the height of the cylinder.

If we replace all the data in the equation :

$V=\frac{\pi .(25ft)^{2}}{4}.(30ft)=14726.216ft^{3}$

We found out that the volume of the tank in cubic feet is $14726.216ft^{3}$

b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.

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