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3 years ago

2/3 (a-b) =c, solve for a

1 answer:

6 0

$\dfrac{2}{3}(a-b)=c\ \ \ \ |\cdot3\\\\2(a-b)=3c\\\\2a-2b=3c\ \ \ \ |+2b\\\\2a=3c+2b\ \ \ \ |:2\\\\\boxed{a=\dfrac{3c+2b}{2}}$

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Find CD, please i need help

Sidana [21]

You are given the full length and the lengths of all the sections other than CD.

Subtract the given sections from the entire length to get CD.

12 1/2 - 6 1/2 = 6

CD = 6

4 0

3 years ago

Write the rule for the nth term of the following sequence.

denis-greek [22]

Answer:

$2^{n-3}$ is the nth term of the given sequence.

Step-by-step explanation:

The sequence given is

$\frac{1}{4},\frac{1}{2},1,2,4 .....$

We can clearly see that 1st term is $\frac{1}{4}$ and 2nd term is $\frac{1}{2}$

2nd term is obtained by multiplying the 1st term by 2.

2nd term is $\frac{1}{2}$ and 3rd term is 1.

3rd term is obtained by multiplying the 2nd term by 2.

3rd term is 1 and 4th term is 2.

4th term is obtained by multiplying the 3rd term by 2.

Clearly, the given series is a Geometric Progression(GP) with

First term, $a = \frac{1}{4}$

Common Ratio, $r = 2$

We know that $n^{th}$ term for a GP is:

$a_n = ar^{n-1}$

Putting values of a and r

$a_n = \dfrac{1}{4}2^{n-1}\\a_n = \dfrac{1}{2^{2} }2^{n-1}\\a_n = 2^{n-1-2}\\a_n = 2^{n-3}$

Hence, $2^{n-3}$ is the nth term of the given sequence.

3 0

3 years ago

What is the sum of (5x - 10) and (-X + 8) ?

Darya [45]

4x-253 urge ytrv 57843 t58

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3 years ago

Stteps for solving 6(4x-3) are shown which of these is not a part of the solution prosess

dlinn [17]

Answer:2 4 − 1 8

Step-by-step explanation:

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2 years ago

Simplify 8x + 10y + 9x - 3y by identifying and combining like terms. A. 17x + 13y B.24y C.17x+7 D.17x + 7y

Sergeeva-Olga [200]

Answer:

17x +7y

Step-by-step explanation:

8x + 10y + 9x - 3y

Combine like terms

8x+ 9x + 10y - 3y

17x +7y

8x+9x are like terms and 10y -3y are like terms

7 0

4 years ago

Read 2 more answers