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mr Goodwill [35]
3 years ago
5

The cost (in dollars) of making b bracelets is represented by 4 5b. The cost (in dollars) of making b necklaces is represented b

y 8b 6. Write a polynomial in standard form that represents how much more it costs to make b necklaces than b bracelets.
Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Answer:

$(3b+2)

Step-by-step explanation:

The cost of making b bracelets = 4+5b

The cost  of making b necklaces = 8b+6.

To determine how much more it cost to make b necklaces than b bracelets, we simply subtract.

Extra Cost = Cost of b Necklaces-Cost of b Bracelets

=(8b+6)-(4+5b)

open the brackets

=8b+6-4-5b

Collect like terms

=8b-5b+6-4

=3b+2

It costs $(3b+2) more to make b necklaces than b bracelets.

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

4a - 2

a = 5

<u>Step 2: Evaluate</u>

  1. Substitute in <em>a</em>:                   4(5) - 2
  2. Multiply:                              20 - 2
  3. Subtract:                             18
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2 years ago
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A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul
ch4aika [34]

Answer:

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Step-by-step explanation:

The exponential function describing the population growth can be written ...

  population = (initial population)×(1 +growth rate)^years

If t represents the number of years, we can fill in the values to get ...

  18500 = 12000×1.04^t

Dividing by 12000 gives ...

  18500/12000 = 1.04^t

Taking logarithms, we have ...

  log(18500/12000) = t×log(1.04)

  t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0

It will be 11.0 years until the population reaches 18,500.

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Answer:

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Step-by-step explanation:

Nickels are worth 5 cents each and quarters are worth 25 cents.

7 nickels = 7 * 5 cents = 35 cents

8 quarters = 8 * 25 cents = 200 cents

Total = 200 + 35 = 235 cents

There are 100 cents per dollar, so we can find the dollar value by:

235/100 = $2.35

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Step-by-step explanation:

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Step-by-step explanation:

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