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Natalka [10]
3 years ago
7

4x - 2(x - 5) = - 7 + 5x + 8 type the value of x

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

The value of 'x' = 3

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that

              4x - 2(x - 5) = - 7 + 5x + 8

              4x - 2(x) +10 = - 7 + 5x + 8

                   2 x + 10 = 1 + 5 x

Subtracting '2x' on both sides , we get

             2 x - 2 x + 10 = 1 + 5 x - 2 x

                  10 = 1 + 3 x

                 10 -1 = 3x

                   9 = 3 x

Dividing '3' on both sides, we get

                 \frac{9}{3} = \frac{3x}{3}

               3 = x

∴ The value of 'x' = 3

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-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
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ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
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7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
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x - 9 = 4

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Add 9 to both sides:
-----------------------------------------------
x = 13

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MN = OL:
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x - 7 = 2y - 7

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Sub x = 13:
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13 - 7 = 2y - 7

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Simplify:
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6 = 2y - 7

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Add 7 on both sides:
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13 = 2y

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Divide by 2:
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y = 13/2

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Answer: x = 13, y = 13/2 (Answer D)
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6 0
3 years ago
Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d
Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

70\% = \frac{70}{100} = 0.7.

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

C = n*\frac{70}{100}

If n = 80 then:

C = 80 * \frac{70}{100}\\\\C = 56

7 0
3 years ago
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