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AfilCa [17]
3 years ago
7

Compute: 245 * 1,493. Show your work.

Mathematics
1 answer:
sesenic [268]3 years ago
4 0
0 + 0 + 5 = 5

0 + 2 + 6 = 8

6 + 7 + 4 = 17
Put the 7 in the appropriate column and carry the 1.

<span>8 + 9 + 7 + </span><span>1(carried)</span><span> = 25</span>
Put the 5 in the appropriate column and carry the 2.

<span>9 + 5 + </span><span>2(carried)</span><span> = 16</span>
Put the 6 in the appropriate column and carry the 1.

<span>2 + </span><span>1(carried)</span><span> = 3</span>

<span>So: 1493 × 245 = 365785</span>
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Find x<br><br> 9x+3+5x-2+11x-21=180
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Answer:

x = 8

Step-by-step explanation:

Simplifying

(9x + 3) + (5x + -2) + (11x + -21) = 180

Reorder the terms:

(3 + 9x) + (5x + -2) + (11x + -21) = 180

Remove parenthesis around (3 + 9x)

3 + 9x + (5x + -2) + (11x + -21) = 180

Reorder the terms:

3 + 9x + (-2 + 5x) + (11x + -21) = 180

Remove parenthesis around (-2 + 5x)

3 + 9x + -2 + 5x + (11x + -21) = 180

Reorder the terms:

3 + 9x + -2 + 5x + (-21 + 11x) = 180

Remove parenthesis around (-21 + 11x)

3 + 9x + -2 + 5x + -21 + 11x = 180

Reorder the terms:

3 + -2 + -21 + 9x + 5x + 11x = 180

Combine like terms: 3 + -2 = 1

1 + -21 + 9x + 5x + 11x = 180

Combine like terms: 1 + -21 = -20

-20 + 9x + 5x + 11x = 180

Combine like terms: 9x + 5x = 14x

-20 + 14x + 11x = 180

Combine like terms: 14x + 11x = 25x

-20 + 25x = 180

Solving

-20 + 25x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '20' to each side of the equation.

-20 + 20 + 25x = 180 + 20

Combine like terms: -20 + 20 = 0

0 + 25x = 180 + 20

25x = 180 + 20

Combine like terms: 180 + 20 = 200

25x = 200

Divide each side by '25'.

x = 8

8 0
3 years ago
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Answer:

Choice D

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So now that we found the y-intercept we just have to put it all together....

y=\frac{9}{4}x-81

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Answer:

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