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katovenus [111]
2 years ago
14

9. Simplify the expression: 6(-5n+7) Show work

Mathematics
1 answer:
pshichka [43]2 years ago
4 0

Consider the word phrase "2 apples". This is the same as "2 of apples". Mathematically you could write: 2×apples or even 2a.This is exactly the type of thing you have when you write:6(−5n+7)This is the same as:  6of (−5n+7)Lets write this out in full:(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7) (−5n+7)Write this as: (−5n−5n−5n−5n−5n−5n)(7+7+7+7+7+7) As you can see, we have 6 of each Giving[−(6×5)×n]+[6×7]=−30n+42

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Answer:

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Step-by-step explanation:

4y^2+7y-14

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A department store surveyed 428 shoppers, and the following information was obtained: 216 shoppers made a purchase, and 294 were
Maurinko [17]

Answer:

(a) 169

(b) 341

(c) 125

(d) 87

Step-by-step explanation:

Consider the Venn diagram below.

The total number of shoppers surveyed is, <em>N</em> = 428.

Number of shoppers who made a purchase, <em>n</em> (P) = 216

Number of shoppers who were satisfied with the service they received,

<em>n</em> (S) = 294

Number of shoppers who made a purchase but were not satisfied with the service, n(S^{c}\cap P) = 47

(a)

The number of shoppers who made a purchase and were satisfied with the service = <em>n</em> (S ∩ P)

             n(S\cap P)=n(P)-n(S^{c}\cap P)\\=216-47\\=169

(b)

The numbers of shoppers who made a purchase or were satisfied with the service = <em>n</em> (P ∪ S)

               n(P\cup S)=n(P)+n(S)-n(P\cap S)\\=n(P)+n(S)-n(S\cap P)\\=216+294-169\\=341

(c)

The numbers of shoppers who were satisfied with the service but did not make a purchase = n(S\cap P^{c})

n (S\cap P^{c} ) = n (S) - n (S \cap P)\\=294-169\\=125

(d)

The number of shoppers who were not satisfied and did not make a purchase  = n(S^{c}\cap P^{c})

n(S^{c}\cap P^{c})=N-n(S\cup P)\\=N-n(P\cup S)\\=428-341\\=87

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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\frac{2.8}{5(w - 6)}

2) Simplify.

\frac{0.56}{w - 6}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>0.56</u><u>/</u><u>w-6</u>.

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