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sashaice [31]
3 years ago
10

Solve 6 - 2/3(x+5)=4x algebraically

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

4/7 =x

Step-by-step explanation:

6 - 2/3(x+5)=4x

Multiply each side by 3 to clear the fraction

3(6 - 2/3(x+5))=4x*3

Distribute

18 -2(x+5) =12x

Distribute the 2

18 -2x-10 = 12x

Combine like terms

8 -2x = 12x

Add 2x to each side

8-2x+2x =12x+2x

8 = 14x

Divide by 14 on each side

8/14 =14x/14

4/7 =x

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Identify the constant of proportionality from the table.
ivann1987 [24]

Answer:

The constant of proportionality is 3.

Step-by-step explanation:

6/2 is 3 and so on.

Correct me if I'm wrong

3 0
2 years ago
Find the sum of the first 7 terms of the following series, to the nearest integer.
givi [52]

Answer:

9.983796

Step-by-step explanation:

Every time, it becomes smaller by 5/2 (6 divided by 5/2 is 12/5.... 12/5 divided by 5/2 is 24/25)

So, the first seven terms are 6, 2.4, 0.96, 0.384, 0.1536, 0.06144, 0.024756. Add them together and your answer would be 9.983796

Pleaseeee mark me brainliest :))

3 0
3 years ago
Read 2 more answers
Triangle AOC intersects a circle with center O. side AO is 10 inches and the diameter of the circle is 12 inches. What is the le
zvonat [6]

Answer:

AC=8inches

Step-by-step explanation:

It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus

OC is the radius of the circle and is equal to \frac{D}{2}=\frac{12}{2}=6 inches.

Now, From ΔAOC, using the Pythagoras theorem, we get

(OA)^{2}=(OC)^{2}+(AC)^{2}

⇒(10)^{2}=(6)^2+(AC)^2

⇒100=36+(AC)^2

⇒64=(AC)^2

⇒AC=8inches

4 0
3 years ago
I need help with this question please.
Tema [17]
32+(0.8)= 32.8 is that the answer? HOpe this helped
3 0
3 years ago
Read 2 more answers
Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
PolarNik [594]

From your previous questions, you know

(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³

(2<em>w</em>² + 1)' = 4<em>w</em>

So by the quotient rule,

<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²

That is, the quotient rule gives

<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²

6 0
3 years ago
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