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Maru [420]
3 years ago
10

When solving negative -1/3.(x − 15) = −4, what is the correct sequence of operations

Mathematics
2 answers:
rodikova [14]3 years ago
6 0
Distribute through the parenthesis
subtract 5 from both sides
divide both sides by -1/3...or multiply both sides by -3
love history [14]3 years ago
6 0
1) Distribute -1/3 through the parenthesis, it will look like this:
-1/3(x) - 15(-1/3) = -4

Simplify: -1/3x + 5 = -4

Multiply each term by 3 to eliminate the fraction: 3(-1/3x + 5 = -4)
Equals: -x + 15 = -12

Subtract 15 from both sides -x + 15 =-12
                                                 - 15    -15

Equals -x = -27
FINALLY multiply or divide by -1 to eliminate the negative "x"
(Basically changing the signs of all terms.)
x = 27.
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Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks
Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be x , and let the number of pairs Lucy has be y.

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

\frac{1}{3}x + 4 = y    .............................. equation 1

Also ,  Lucy has at most 9 pairs of socks , this means that

y\leq 9 ....................................... equation 2

Equating the two equations , we have

\frac{1}{3}x + 4 \leq 9

multiply through by 3

x + 12\leq 27

subtract 12 from both sides

x\leq 15

Therefore , the sister has at most 15 pairs of socks

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Answer:

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... in the attached picture.

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