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3 years ago

Solve for x: -2(1 - 4x) = 3x + 8

Mathematics

2 answers:

NeTakaya3 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

-2 + 8x = 3x + 8 (distribute -2)

5x = 10 (combine like terms)

x = 2 (divide)

grandymaker [24]3 years ago

7 0

Answer:

x =2

Step-by-step explanation:

-2(1 - 4x) = 3x + 8

Distribute

-2 +8x = 3x +8

Subtract 3x from each side

-2 +8x-3x = 3x-3x +8

-2+5x = 8

Add 2 from each side

-2+2 +5x = 8+2

5x = 10

Divide by 5

5x/5 = 10/5

x =2

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4 years ago

How many numbers multiple of 3 are in the range [2,2000]?

amm1812

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

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3 years ago

In the rectangular prism below, the length of MR is 8 inches, the length of RS is 9 inches, and the length of ST is 12 inches.Wh

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3 years ago

Read 2 more answers

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3 years ago

A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.

vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

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3 years ago