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prisoha [69]
3 years ago
9

30% of Number A is the same as 40% of Number B.

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

30% of number A means

\dfrac{30A}{100}=\dfrac{3A}{10}

similarly, 40% of number B means

\dfrac{40B}{100}=\dfrac{2B}{5}

These must be equal, so we have

\dfrac{3A}{10}=\dfrac{2B}{5}

Multiply both sides by 10 to get

3A=4B \iff A=\dfrac{4B}{3}

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.

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Step-by-step explanation:

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Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design f
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Answer:

The correct statements are (a), (c) and (d).

Step-by-step explanation:

The information provided is:

  • Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons plus $50.00 for every additional hour of work for the house plans.
  • Elegant Home Architects charge $75.00 per hour for the house plans.
  • The variable <em>h</em> represent the number of hours for which Mr. and Mrs. Nelson hire the design firm.

The total charge for Elegance Home Architects, if the Nelsons choose them will be:

Total for Elegance = 75 × <em>h</em> = 75<em>h</em>.

Suppose  the Nelsons hire the design firm for 15 hours.

Total for Elegance = 75 × <em>h</em> = 75 × 15 = $1,125

Total for Rock = 500 + (50 × <em>h</em>) = 500 + (50 × 15) = $1,250

So, the  Elegance Home Architects will be cheaper.

Suppose  the Nelsons hire the design firm for 25 hours.

Total for Elegance = 75 × <em>h</em> = 75 × 25 = $1,875

Total for Rock = 500 + (50 × <em>h</em>) = 500 + (50 × 25) = $1,750

So, the Rock the House Digital Designs will be cheaper.

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8 0
3 years ago
Jenna has 38 coins. She uses 19 coins to buy a notebook. How many coins does she have left?
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Answer: 19 coins

Step-by-step explanation:

38-19=19

To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:

Let x represent the amount used to buy a notebook

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