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Ira Lisetskai [31]
3 years ago
9

Working simultaneously, four fudge machines complete a big order in 32 hours. All

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

8 Hours

Step-by-step explanation:

32÷4=8

It takes 4 machines to do something in 32 hours. If you had 4 times more machines it would be 4 times faster.

I hope this helps!

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Measure of angle ABD =5x, measure of angle DBC =3x+10 solve for x and find measure of angle ABC
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PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
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Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

<h3>Part A)</h3>

2(x - 3) = 3x - 3

<em>open the parenthesis</em>

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

<em>subtract 2x from both sides</em>

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

<em>add 3 to both sides</em>

-6 + 3 = x

-3 = x

<h3>Part B)</h3>

|2x + 6| = 8

<em>split this into two equations:</em>

<em>2x + 6 = 8</em>

<em>&</em>

<em>2x + 6 = -8</em>

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

<h3>Part C)</h3>

-5(x + 1) > 30

<em>open the parenthesis</em>

-5x - 5 > 30

<em>add 5 to both sides</em>

-5x > 35

<em>divide both sides by -5</em>

x > -7

<em>since you divided by a negative, flip the sign.</em>

x < -7

<h3>Part D)</h3>

f(x) = 4x - 3

<em>substitute x for 5</em>

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

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3 years ago
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