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Kisachek [45]
3 years ago
9

Simplify 8- 2 (6 - 4 : (9 —7)]

Mathematics
2 answers:
Phantasy [73]3 years ago
4 0
8-2(6-4:2)
8-2(6-2)
8-2*4
8-8=0
Reil [10]3 years ago
3 0

For this case we have that according to the method of algebraic resolution PEMDAS the following order is fulfilled:

P: Parenthesis

E: Exponents

MD: Multiplication and division (From right to left)

AS: Addition and subtraction (From right to left)

So, if we have the following expression:

8-2 [6-4: (9-7)] =\\8-2 [6-4: 2] =\\8-2 [6-2] =\\8-2 [4] =\\8-8 =\\0

Answer:

8-2 [6-4: (9-7)] = 0

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Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

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\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
\\\\\\
\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
denominators
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\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
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\stackrel{days}{8\frac{1}{6}}=a
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\textit{how many days will it take Bailey then?}\quad b=6a
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b=6\cdot \cfrac{49}{6}\implies b=\stackrel{days}{49}
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