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maksim [4K]
3 years ago
12

2/3 of the sum of three times a number and six is 10. what is the number?

Mathematics
2 answers:
sammy [17]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

Write the equation first, 2/3(3x+6)=10

Distribute 2,  2(3x+6)/2

Which equals 6x+12/3=10

Then multiply 3 from both sides 6x+12=30

Subtract 12

6x=18

Divide 6 from both sides

x=3

mestny [16]3 years ago
3 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

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6 0
3 years ago
Solve x2 + 2x = 4 for x by completing the square. x equals plus or minus square root of 5 plus 1 x equals plus or minus square r
steposvetlana [31]

Answer:

x equals plus or minus square root of 5 minus 1

Step-by-step explanation:

we have

x^{2} +2x=4

Divide by 2 the coefficient of the x-term

2/2=1

squared the number

1^2=1

Adds both sides

x^{2} +2x+1=4+1

x^{2} +2x+1=5

Rewrite as perfect squares

(x+1)^{2}=5

take the square root both sides

x+1=(+/-)\sqrt{5}

x=(+/-)\sqrt{5}-1

therefore

x equals plus or minus square root of 5 minus 1

4 0
3 years ago
Find a number whose product with 7 is the same as its sum with 18
SSSSS [86.1K]
7 + 18 = 25
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7 0
3 years ago
Which terms and 45p^4q have a GCF of 9p^3?
vredina [299]

Answer:

The answer is 18p^3r and 63p^3

Step-by-step explanation:

G.C.F of 18p^3 r and  45p^4q is = 9p^3

18p^3r = 2*3*3*p*p*p*r

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

G.C.F of  63p^3 and  45p^4q is = 9p^3

63p^3 = 3*3*7*p*p*p

45p^4q = 3*3*5*p*p*p*q

Thus the G.C.F is 3*3*p*p*p = 9p^3

Therefore the answer is 18p^3r and 63p^3....

7 0
3 years ago
Which of the following is an equation of a line parallel to the equation y=4x+1?
Reil [10]

Answer:

y = 4x + b, where b is any number

Step-by-step explanation:

Adrian, you need to share the possible answer choices.

Every line parallel to y = 4x + 1 has the slope 4.

This is true for any y-intercept, that is, for any b in y = mx + b.

3 0
3 years ago
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