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Maru [420]
1 year 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]1 year 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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City A grows by 5% every year. In 2021, it has a population of 145,201. What will the population be in 2037?
Diano4ka-milaya [45]

Answer:

About 316,955 people

Step-by-step explanation:

The population of this city can be modeled with the formula P=I\cdot(1.05^t), where P represents the current population, I represents the initial population, and t represents the amount of time in years since the start of the model. Plugging in 145,201 for I and (2037-2021)=16 for t, we get:

P=145201\cdot(1.05)^{16}\approx145201\cdot2.18\approx 316955

4 0
2 years ago
Read 2 more answers
A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
Alexus [3.1K]
Why is it so complicated? Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3

Volume of prism is 1/8 * 96 = 12 cm^3
6 0
2 years ago
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Claude purchased a container of peanuts that weighs 4 kilograms. Taryn purchased a container of peanuts that weighs 4,100 grams.
Vilka [71]

Answer: 100 grams

Step-by-step explanation:

From the question, Claude purchased a container of peanuts that weighs 4 kilograms. We can convert this to grams and it'll be:

= 4 × 1000 grams = 4000 grams.

Taryn purchased a container of peanuts that weighs 4,100 grams. The difference will then be:

= 4100 grams - 4000 grams

= 100 grams

Taryn bought 100 grams more.

3 0
2 years ago
In a college of exactly 2660 students, exactly 60 % are male. what is the number of female students?
garik1379 [7]
If 60% out of the 2,660 students are males, then
40% out of t<span>he same 2,660 students are females

Ten the number of females is 40% x 2660 = 0.4 x 2660 = 1,064 females</span>
5 0
2 years ago
A shelf at a bookstore displays 27 books. Of these 27 books, 9 of the book are nonfiction books. The store owner add 6 new ficti
Jlenok [28]
The book owner must need 12 more books to have the same ratio of fiction books because 9+6=15 and 27-15=12
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