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4 years ago

10 - 2x = 19x +2 - 5x

2 answers:

8 0

If you need help with solving equations like this just use the app Socratic because it scans it, gives the correct answer and the explanation as to why

Darina [25.2K]4 years ago

3 0

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10−2x=19x+2−5x

10+−2x=19x+2+−5x

−2x+10=(19x+−5x)+(2)(Combine Like Terms)

−2x+10=14x+2

Step 2: Subtract 14x from both sides.

−2x+10−14x=14x+2−14x

−16x+10=2

Step 3: Subtract 10 from both sides.

−16x+10−10=2−10

−16x=−8

Step 4: Divide both sides by -16.

−16x/−16 = −8/−16

x = 1/2

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Answer:

Step-by-step explanation:

The given geometric series is

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Recall that the explicit formula is

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The volume of the fourth box is of 410.1 cubic inches.

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The volume of a rectangular prism is given by the base area multiplied by the height, that is:

$V = A_bh$

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For the first three boxes, the height is constant at 9 inches.
At the base, the edge length is multiplied by 1.5 each time, as $\frac{4.5}{3} = \frac{3}{2} = 1.5$ , thus, for the fourth box, the edge length, in inches, will be of $4.5 \times 1.5 = 6.75$

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Square base, of length 6.75 inches, thus:

$A_b = 6.75^2 = 45.5625$

Height of 9 inches, thus $h = 9$ and:

$V = A_bh = 45.5625(9) = 410.1$

The volume of the fourth gift box will be of 410.1 cubic inches.

A similar problem is given at brainly.com/question/23756783

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