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2 years ago

See question in attached photo.

Mathematics

2 answers:

mars1129 [50]2 years ago

8 0

I cannot see the photo

KATRIN_1 [288]2 years ago

4 0

Answer:

√-1 or i

Step-by-step explanation:

<u>Since A² = 0 we need to get the value of λ when A = 0:</u>

A = λ*λ - 1(-1) = λ² + 1
A = 0
λ² + 1 = 0 ⇒ λ² = -1 ⇒ λ = √-1 ⇒ λ = i

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5. $40

6. 500 students

7. 60 books

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>:

$\implies 18:45\%=x:100\%$

$\implies 18:0.45=x:1$

$\implies \dfrac{18}{0.45}=\dfrac{x}{1}$

$\implies 18=0.45x$

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$\implies 40$

Therefore, Aiden brought $40 on the trip.

<h3><u>Question 6</u></h3>

Given:

Angel received 300 votes.
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>:

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

$\implies 300:0.6=x:1$

$\implies \dfrac{300}{0.6}=\dfrac{x}{1}$

$\implies 300=0.6x$

$\implies x=\dfrac{300}{0.6}$

$\implies x = 500$

Therefore, there were 500 students who voted in the election.

<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>:

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

$\implies 0.8:48=1:x$

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

$\implies 0.8x=48$

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

$\implies x=60$

Therefore, there were 60 books in the book sale.

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

Given:

Aiyana read 147 pages of the book.
She completed 70% of the book.

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>:

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

$\implies 0.7:147=0.3:x$

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

$\implies 0.7x=44.1$

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

$\implies x=63$

Therefore, Aiyana still has 63 pages left to read.

5 0

1 year ago

See question in attached photo.​

See question in attached photo.