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Pani-rosa [81]
3 years ago
6

Complete the statements to find 8 divided by 0.01

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0
Use a calculator if you want to see how it works
8÷0.01=800
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You need 8 oz of red paint and 12 oz of blue paint to make purple paint. How much red paint is needed for 15 oz of blue paint?
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10oz

Step-by-step explanation:

Solve

<h2>\frac{8}{12} = \frac{x}{15}</h2><h2>x=10</h2><h2></h2>
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Step-by-step explanation:

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Reduce the fraction -20t^5 u^2 v^3 over 48t^7 u^4 v
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Write 72xy^2? as a prime factorization. Show all of your work!​
kolezko [41]

9514 1404 393

Answer:

  2³·3²·x·y²

Step-by-step explanation:

Unique prime factors are 2, 3, x, y. Each of those is raised to a power to obtain the given expression.

  72xy² = 8·9·x·y² = 2³·3²·x·y²

6 0
3 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
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