Find x: 2(4x − 3) − 8 = 4 + 2x

2 answers:

5 0

Expand the bracket to get 8x - 6 - 8= 2x + 4
Take away 2x from both sides:
6x - 6 = 4
Add 6 and 8 to both sides and you end up with
6x = 18
Now for this step you divide both sides by 6 so that the coefficient of x is 1. You end up with x = 3. Hope that this helps and have a great rest of your day.

MariettaO [177]3 years ago

4 0

X = 3

2(4x - 3) - 8 = 4 + 2x

1. Distribute

8x - 6 - 8 = 4 + 2x

2. Collect like terms

8x - 14 = 4 + 2x

3. Collect like terms again (add 14 and subtract 2x)

6x = 18

4. Divide by 6

x = 3

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$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with volume 769?3 ft³ , having a height of 15 ft

To calculate - radius of the cone

We know that ,

$\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\$

substituting the values in the formula stated above ,

$\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}$