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Wittaler [7]
3 years ago
11

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
pogonyaev3 years ago
8 0

Answer: x = 5

Step-by-step explanation:

Here we want to solve the equation:

-2(x + 6) + 3 = -11x + 4(x + 4)

the first step is distribute the parentheses at both sides:

-2x -12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

now, we put all the termx with an x in one side, and the other ones in the other side.

-2x + 7x = 16 + 9

5x = 25

now we divide by 5 in both sides, in this way we can isolate x.

5x/5 = 25/5

x = 5

lawyer [7]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

We are given a linear single variable equation of x and we have to get the value of x from the equation.

Now, the equation is

- 2 ( x + 6 ) + 3 = - 11x + 4 ( x + 4 )

⇒ - 2x - 12 + 3 = - 11x + 4x + 16

⇒ 5x = 25

⇒ x = 5 (Answer)

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The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
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Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

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----------------------------- = -----

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Then the total number of coins is 2n + 14n =48, implying that:

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Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The coordinates of B point is (5,-6).

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