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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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How many times does the 8 fit into the 49
Vlada [557]

Answer:

6.125

Step-by-step explanation:

49 divided by 8

49÷8=6.125

4 0
2 years ago
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What are the solutions of x squared 6 x minus 6 = 10?.
Anika [276]

Answer:

x=-8 OR X=2

Step-by-step explanation:

X²+6X-6=10

X²+6X-16=0

X²+8X-2X-16

X(X+8)-2(X+8)

X+8=0 X-2=0

X=-8 OR X=2

8 0
2 years ago
What is 4(x−2)=3(2y−1) in standard form?
exis [7]

Answer: 4x-6y=5

Step-by-step explanation: Using the formula, Ax+By=C, write the equation in standard form.

Hope this helps you out! ☺

8 0
2 years ago
The set of possible values of m is (5, 7, 9).
Vladimir [108]
The values of k are 4,5,6

7 0
3 years ago
Read 2 more answers
For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.
dybincka [34]

Answer:

  x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

  x^2 -5x -4 ≤ 10

can be rewritten as ...

  x^2 -5x -14 ≤ 0

and factored as ...

  (x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

  x ∈ [-2, 7]

5 0
3 years ago
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