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Vsevolod [243]
3 years ago
12

Which expression is equivalent to 4(3-6x)+x. Explain your reasoning. A.)-11x B.)-5x+12 C.)-23x+12 D.)37x

Mathematics
1 answer:
diamong [38]3 years ago
5 0
C) -23x + 12 .. You're going to multiply the 4 to what's inside the parenthesis. So you'll get 12-24x+x Then just add the like terms which are the x's. 12-23x or -23x+12 
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Answer:

5.  $40

6.  500 students

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8.  63 pages

Step-by-step explanation:

<h3><u>Question 5</u></h3>

Given:

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  • $18 is 45% of the money he brought on the trip.

Let x be the money Aiden brought on the trip.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

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Therefore, Aiden brought $40 on the trip.

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Given:

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  • 300 votes was 60% of all the votes.

Let x be the number of students who voted in the election.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 300:60\%=x:100\%

\implies 300:0.6=x:1

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<h3><u>Question 7</u></h3>

Given:

  • The students sold 80% of the books.
  • The total number of books they sold is 48.

Let x be the number of books in the sale.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 80\%:48=100\%:x

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\implies \dfrac{0.8}{48}=\dfrac{1}{x}

\implies 0.8x=48

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\implies x=60

Therefore, there were 60 books in the book sale.

<h3><u>Question 8</u></h3>

Given:

  • Aiyana read 147 pages of the book.
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If she has completed 70% of the book, then she still has 30% left to read, as 100% - 70% = 30%.

Let x be the number of pages Aiyana still has to read.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 70\%:147=30\%:x

\implies 0.7:147=0.3:x

\implies \dfrac{0.7}{147}=\dfrac{0.3}{x}

\implies 0.7x=44.1

\implies x=\dfrac{44.1}{0.7}

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