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3 years ago

Solve with work shown. X/3+6 equals -6

1 answer:

6 0

We start out with x/3+6=-6. Subtract 6 from both sides, and you get x/3=-12. Multiply the equation by three and you get x=-36. x=-36 should be your final answer.

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What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
$S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}$

$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

$\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)$

As $n\to\infty$ , the geometric term vanishes, leaving you with

$S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5$

7 0

2 years ago

Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-sh

swat32

Let T=Num of T-shirts 27
Let M=Total amount of money spent for 27 T-shirts.
Let X=Cost of 1 T-shirt

M(Total cost)/T(#of T-shirts) = X (Cost of one shirt)

8 0

3 years ago

Read 2 more answers

Help ASAP for BRAINLIEST!!!!

xenn [34]

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

distribute the 1/4

x-2+3x=0

combine like terms

-2+4x=0

move -2 to the other side [by ADDing +2 to each side

4x=2

divide [by 4 on both sides]

x=1/2

6 0

2 years ago

GIVING 20 POINTS PLS HELP!!!

ser-zykov [4K]

Answer:

The answer is C. -336

Step-by-step explanation:

All you have to do is 25 - 39 = -14 x 24 = -336

Hope this helps :)

4 0

3 years ago

Can someone please help me answer this

Alexus [3.1K]

Answer:

1) a = 1.6 2) f = 0.53

Step-by-step explanation:

1) 6a = 10 2) 48 = 90f

6a/6 = 10/6 90f/90 = 48/90

a = 1.6 f = 0.53

sorry i could only do the first two, i think those are right

8 0

3 years ago