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7nadin3 [17]
3 years ago
14

Errol bought a skateboard at 40% off. The original price was $49.95. What is the amount of the discount and what is the sale pri

ce?
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

40÷100×$49.95= 19.98 then minus $19.98 from $49.95 =$27.97

the discount price is $19.98

the selling price $27.97

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Step-by-step explanation:

I knew that the hypotenuse was 13 so it couldn’t be more than 13. I was guessing at numbers until I got to 5 then added 7. After I use Pythagorean theorem to check and I got 13.

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A block of ice has a square top and bottom and rectangular sides. At a certain point in
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Answer:

\frac{dV}{dt} = 360 \ cm^3/h

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

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

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Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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The question is really quite easy. You just have to find the distance between the sea level and the point down the water. Make an illustration about the problem to visualize it better. The picture is shown in the attached picture. The distance we want to get is denoted as x. The solution is as follows:

x = 4.7 - 0.5 = 4.2 m

Hope this helps!

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3 years ago
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