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LuckyWell [14K]
4 years ago
9

20 subtracted from three times a number is 6 more than the number

Mathematics
1 answer:
kompoz [17]4 years ago
3 0
<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>

<em><u>Solution:</u></em>

<em><u>Given statement is:</u></em>

20 subtracted from three times a number is 6 more than the number

We can translate the sentence into algebraic expression

Let "a" be the unknown number

Then,

20 subtracted from three times "a" is 6 more than "a"

Which means,

3a - 20 = 6 + a

3a - a = 6 + 20

2a = 26

Divide both sides by 2

a = 13

Thus the number is 13

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Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10
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Answer:

  B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

  x^2 -4x +2 = 10 . . . . . . . given

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6 0
3 years ago
5 2/3 gave to her 4 friends how much did each one receive
Olin [163]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

_________________________________

Step (1)

First we have to find all she has :

5 \frac{2}{3} = 5 +  \frac{2}{3} =  \frac{5 \times 3}{3} +  \frac{2}{3} = \\   \frac{15}{3} +  \frac{2}{3} =  \frac{17}{3}

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

\frac{17}{3} \div 4 =  \frac{17}{3} \times  \frac{1}{4} =  \frac{17}{12} \\

So each of her friends receive 17/12 .

_________________________________

_________________________________

_________________________________

If it is 5 × 2/3

_________________________________

Step (1)

Firs we have to find all she has :

5 \times  \frac{2}{3} =  \frac{10}{3} \\

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

\frac{10}{3} \div 4 =  \frac{10}{3} \times  \frac{1}{4} =  \frac{10}{12} \\

So each of her friends receive 10/12 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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3 years ago
A system of equations is shown on the graph below.how many solutions does this system have
lisabon 2012 [21]

Answer:

1

Step-by-step explanation:

A solution to a system of equations is the point where the 2 lines meet.

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