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irina [24]
3 years ago
5

Solve the following 1) 2(x + 3) = x - 42) 4(5x-2) = 2(9x+3)PLS HELP ​

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

(1) x = -4 (2) x = 7

Step-by-step explanation:

From the first equation:

2(x + 3) = x - 4\\\implies x =  2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4

From the second equation,

4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7

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<h2>Answer:</h2>

$15.08

<h2>Step-by-step explanation:</h2>

As the value 226.20 is the total of all wages, you can work out the mean.

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100 POINTS+BRAINLIEST 8TH GRADE MATH PT 4: this one is similar to #3
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Answer:

b.  x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

<u>Definitions</u>

  • Integer:  a whole number that can be positive, negative or zero.
    e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
  • Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2).  For example, 1, 3, 5, 7 are all positive odd numbers.
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<u>The sum of three consecutive odd integers</u>

Let x be the first odd integer.

As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive odd integers is thirty-nine" is:

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<u>To solve</u>

⇒ x + (x + 2) + (x + 4) = 39

⇒ x + x + 2 + x + 4 = 39

⇒ 3x + 6 = 39

⇒ 3x = 33

⇒ x = 11

Therefore, the three consecutive odd numbers are 11, 13 and 15.

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