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4 years ago

What is this problem17-3(w+5)=6(w+5)-2w Answer

Mathematics

1 answer:

Basile [38]4 years ago

6 0

Answer:

w = -4

Step-by-step explanation:

Solve for w:

17 - 3 (w + 5) = 6 (w + 5) - 2 w

-3 (w + 5) = -3 w - 15:

-3 w - 15 + 17 = 6 (w + 5) - 2 w

Grouping like terms, -3 w - 15 + 17 = (17 - 15) - 3 w:

(17 - 15) - 3 w = 6 (w + 5) - 2 w

17 - 15 = 2:

2 - 3 w = 6 (w + 5) - 2 w

6 (w + 5) = 6 w + 30:

2 - 3 w = 6 w + 30 - 2 w

Grouping like terms, 6 w - 2 w + 30 = (6 w - 2 w) + 30:

2 - 3 w = (6 w - 2 w) + 30

6 w - 2 w = 4 w:

2 - 3 w = 4 w + 30

Subtract 4 w from both sides:

2 + (-3 w - 4 w) = (4 w - 4 w) + 30

-3 w - 4 w = -7 w:

-7 w + 2 = (4 w - 4 w) + 30

4 w - 4 w = 0:

2 - 7 w = 30

Subtract 2 from both sides:

(2 - 2) - 7 w = 30 - 2

2 - 2 = 0:

-7 w = 30 - 2

30 - 2 = 28:

-7 w = 28

Divide both sides of -7 w = 28 by -7:

(-7 w)/(-7) = 28/(-7)

(-7)/(-7) = 1:

w = 28/(-7)

The gcd of 28 and -7 is 7, so 28/(-7) = (7×4)/(7 (-1)) = 7/7×4/(-1) = 4/(-1):

w = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:

Answer: w = -4

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The ratio of boys to students in a class is 5 to 12. If their are 36 students, how many boys will be in the class??? Please help

tamaranim1 [39]

Answer:

15 boys

Step-by-step explanation:

The ratio is 5 : 12

The 12 part of the ratio relates to the students in the class, that is 36

Divide 36 by 12 to find the value of one part of the ratio

36 ÷ 12 = 3 ← value of 1 part of the ratio, thus

5 × 3 = 15 ← number of boys in class

5 0

3 years ago

Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

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3 years ago

Simplify the linear expression.

irina [24]

12/23 is the right answer

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3 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the lcd to get the answer correct. If pos

ra1l [238]

Unlike fraction 1/7 is converted to equivalent like fraction 2/14 and the sum of 2/14 + 3/14 = 5/14.

As given in the question,

Given fraction is equal to:

1/7=? + 3/14=?

Here there are two fractions

1/7 and 3/14

LCD( least common denominator) of 7 and 14 is equal to 14.

Now make them like fractions

1/7 is equivalent to

( 1/7) × ( 2/2) = 2/ 14

Now 2/14 and 3/14 are like fractions

Sum of like fractions is:

2/14 + 3/14

= ( 2+ 3) / 14

= 5/ 14

Therefore, the conversion of unlike fraction 1/7 to like fraction is 2/14. And sum of 2/14 + 3/14 = 5/14.

The complete question is:

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum. 1/7=? + 3/14=?

Learn more about fractions here

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1 year ago

The ordered pair (3, –1) is a solution of which system?

Alexxandr [17]

Answer:

In your equation, put 3 where x is, and -1 where y is. If you get a true statement, like -8 = -8, or 69 = 69, then (3, -1) is a solution. If you get a false statement, like 9 = 21 or 10 = 420, then (3, -1) is not a solution.

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3 years ago