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Maru [420]
2 years ago
14

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Amanda [17]2 years ago
7 0

The number of comic books is an illustration of a linear function

  • The complete equations are: \mathbf{8b + 17 =65} and \mathbf{b =6}
  • The value of b has increased by 4

She had 17 comic books already.

So, we have:

\mathbf{Base\ Amount = 17}

Her order of 65 books contains 8 comic books per collection.

So, we have:

\mathbf{Rate = 8}

\mathbf{Total = 65}

This is represented as:

\mathbf{Rate \times b + Base\ Amount =Total}

So, we have:

\mathbf{8\times b + 17 =65}

Rewrite as:

\mathbf{8b + 17 =65}

Subtract 17 from both sides

\mathbf{8b =48}

Divide both sides by 8

\mathbf{b =6}

Assume she has 97 books in her collection, then the equation would be represented as:

\mathbf{8b + 17 = 97}

Subtract 17 from both sides

\mathbf{8b  = 80}

Divide both sides by 8

\mathbf{b  = 10}

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

Read more about linear equations at:

brainly.com/question/11897796

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Basile [38]
(-4) + 8 = 4
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5 0
3 years ago
How many 2/3 ounce packages of peanuts can be made with 8 ounces of peanuts? Explain how you found your answer?
julia-pushkina [17]
The answer is 12. I got it by dividing 2/3 into 8. I used keep change flip. First I made 8 a fraction by putting one as it's denominator. Then I changed division to multiplication. After that, I flipped the fraction from 2/3 to 3/2. Then I multiplied across. My answer was 24/2. I simplified and got my final answer of 12.
7 0
4 years ago
Use the distributive property to simplify the expression 5(7r+2+4p)
babymother [125]

35r+10+20p

you would multiply by 5 to all the numbers in the parantheses

6 0
3 years ago
Read 2 more answers
A town has a population of 13000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop
ELEN [110]

Answer:

Correct answer: n = 5.96 ≈ 6 years

Step-by-step explanation:

Given:

Currently population P = 13,000

The percentage annual population growth is 4.5 % or in decimal notation

p = 1.045

Population after n years  Pₙ = 16,900

Work:

After first year it will be   P₁ = P · p

After second year it will be   P₂ = P₁ · p = P · p²

After third year it will be   P₃ = P₂ · p² = P · p³

.....................................................................................

After n-th year it will be   Pₙ = P · pⁿ

pⁿ = Pₙ / P  

n = log p (Pₙ / P) = ln (Pₙ / P) / ln p

n = ln (16,900/ 13,000) / ln 1.045 = ln 1.3 / ln 1.045 = 5.96 ≈ 6

If we accept  n = 5.9 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹ = 16,855

If we accept  n = 5.96 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹⁶ = 16,899.6

If we accept  n = 6 we will get:

Pₙ = P · pⁿ =  P₆ = P · p⁶ = 13.000 · 1.045⁶ = 16,929.38

What you will accept is yours choice.

God is with you!!!

5 0
4 years ago
Read 2 more answers
Math Question help please, <br> ill give you points ;D thank you
erastovalidia [21]

The answer is A with the slope being 3/2 and the y intercept being -5.

6 0
4 years ago
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