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2 years ago

What is the solution of the equation 8(3x+4)=2(12x-8)?

1 answer:

7 0

There is no solution because after you distribute, you have 24x in both sides. When moved to the other side, they cancel. Therefore, you are left with 24=-16 which isn’t true.

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What is the volume of a rectangular prism with the dimensions: base 3 8 cm, height 1 3 cm, and length 3 4 cm

dusya [7]

The answer is 16,796 cm

6 0

2 years ago

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What is the sum of the first 4 terms of a geometric sequence that has a first term of 2 and a ratio (multiplier) of 8?

taurus [48]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=2\\ r=8\\ n=4 \end{cases} \\\\\\ S_4=2\left( \cfrac{1-8^4}{1-8} \right)\implies S_4=2\left( \cfrac{-4095}{-7} \right) \\\\\\ S_4=2(585)\implies S_4=1170$

6 0

2 years ago

AC = 6

lord [1]

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

6 0

2 years ago

What is 2(1+5x)-3x=72 solve for x please

kirill [66]

Answer:

x = 10

Step-by-step explanation:

2(1+5x)-3x=72

Distribute

2 + 10x -3x = 72

Combine like terms

2+7x=72

Subtract 2 from each side

2+7x-2 = 72-2

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

7 0

2 years ago

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Miss Jacobs purchase 10.2 ounces of candy for her class. Each student gets 0.85 ounces. Right and solve an equation to determine

ryzh [129]

Answer:

There are 12 students in Miss Jacobs class.

Step-by-step explanation:

Divided 10.2 and 0.85

If you check your answer. 0.85 multiplied by 12 is 10.2

6 0

3 years ago