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irina1246 [14]
3 years ago
12

3 times the sum of 1/3 of a number and 8 is 11

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
Let the number be x.

1/3 of the number = (1/3)*x = x/3

Sum of it and 8      =      (x/3) + 8

3 times the sum =      3*((x/3) + 8)    = 11

3*((x/3) + 8)    = 11

3*x/3  + 3*8 = 11

x + 24 = 11

x = 11 - 24

x = -13

The number is - 13.

I hope this helps.
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Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number
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Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

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Collect like terms.

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3 years ago
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Studentka2010 [4]

Answer:

x=10

Step-by-step explanation:

Supplementary angles are angles equal to 180°.

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Now that we have our equation, let's distribute the 4 and the 2 into the parentheses they are next to:

8x+36+8x-16=180

Combine like terms:

16x+20=180

Subtract 20 from both sides of the equation:

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Divide by the coefficient of x, which is 16:

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Check your work by substituting 10 into one of the equations above:

8(10)+36+8(10)-16=180

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It's correct!

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