Ask question

Ask question

All categories

3 years ago

14

What is x? 3(x - 4) - 14 = 2(x - 7) + 6

2 answers:

Yakvenalex [24]3 years ago

8 0

3(x - 4) - 14 = 2(x - 7) + 6
⇒ 3x+ 3(-4) -14= 2x+ 2*7+ 6 (distributive property)
⇒ 3x -12 -14= 2x -14+ 6
⇒ 3x+ (-12 -14)= 2x+ (-14+ 6) (combine like terms)
⇒ 3x -26= 2x -8
⇒ 3x -2x= -8+ 26 (inverse operation)
⇒ x= 18

Final answer: x= 18.
<span>
</span>

ValentinkaMS [17]3 years ago

4 0

$3(x - 4) - 14 = 2(x - 7) + 6 \\ \\ 3x - 12 - 14 = 2x - 14 + 6 \ / \ expand \\ \\ 3x - 26 = 2x - 14 + 6 \ / \ simplify \\ \\ 3x - 26 = 2x - 8 \ / \ simplify \\ \\ 3x = 2x - 8 + 26 \ / \ add \ 26 \ to \ each \ side \\ \\ 3x = 2x + 18 \ / \ simplify \\ \\ 3x - 2x = 18 \ / \ subtract \ 2x \ from \ each \ side \\ \\ x = 18 \ / \ simplify \\ \\$

The final result is x = 18.

You might be interested in

PLEASE HELP ME I'M CONFUSED

just olya [345]

I have no idea I’m doing the same thing rn but good luck bro bro

3 0

3 years ago

Read 2 more answers

Laura is a gourmet chef who runs a small catering business in a competitive industry. Laura specializes in making wedding cakes.

iren2701 [21]

Answer:

B.less cakes

Step-by-step explanation:

If she keeps making 20 cakes she will lose profit.

If she makes more she will lose profit.

She has to make less cakes to stop losing profits.

So the answer is B. Make less Cakes

7 0

3 years ago

A Venn diagram is shown below:

mina [271]

(A ∩ B) means "A intersection B". Your problem statement tells you the intersection contains
{3, 4}

6 0

3 years ago

Read 2 more answers

HELPPPP. EXPLAIN IT IN 2 SENTENCES

schepotkina [342]

B for 8 would be 6.2
b for 9 would be 7
The b is adding 0.8 each time
Hope this helps!

6 0

3 years ago

Read 2 more answers

The formula for the volume of a sphere is S = 4 3 πr3, where r (in feet) is the radius of the sphere. Suppose a spherical snowba

Soloha48 [4]

Answer with Step-by-step explanation:

We are given that

Volume of sphere= $\frac{4}{3}\pi r^3$

Where r= Radius of sphere in ft

a. $r=\frac{1}{(t+1)^2}-\frac{1}{15}$

$\frac{dr}{dt}=\frac{-2}{(1+t)^3}$

$\frac{dS}{dt}=\frac{dS}{dr}\cdot \frac{dr}{dt}=4\pi r^2\frac{dr}{dt}$

$\frac{dS}{dt}=4\pi(\frac{1}{(1+t)^2}-\frac{1}{15})^2\times \frac{-2}{(1+t)^3}$

$\frac{dS}{dt}=\frac{-8\pi}{(1+t)^3}(\frac{1}{(1+t)^2}-\frac{1}{15})^2$

b.Substitute t=1

Then, we get

$\frac{dS}{dt}=\frac{-8\pi}{8}(\frac{1}{4}-\frac{1}{15})^2$

$\frac{dS}{dt}=-0.1056 ft^3/min$

6 0

3 years ago