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pychu [463]
3 years ago
8

A rectangular cake has a length of 22 1/2 inches and a width of 10 inches. How many whole, square pieces of cake with side lengt

hs of 2 1/2 inches can be cut from the cake?
Mathematics
1 answer:
faltersainse [42]3 years ago
5 0
Well, we need to find the area of the cake.  22.5 times 10 is 225.  That is the area then we need to find the area of each piece of cake.  2.5 times 2.5 is 6.26.
so divide the area of the cake by the area of each piece to find how many pieces can be cut.
225/6.25=36  36 pieces of cake can be cut from the cake
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Alexeev081 [22]

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

5 0
3 years ago
3x+5(2+x)=4x-7 help me out here?
Oksi-84 [34.3K]

Answer:

x = -17/4

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

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3x + 5(2 + x) = 4x - 7

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7
  2. [Addition] Combine like terms:                                                                        8x + 10 = 4x - 7
  3. [Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17
  5. [Division Property of Equality] Divide 4 on both sides:                                  x = -17/4
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Step-by-step explanation:

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A square has a diagonal length of 5 cm. The area of the squareiscm2. Round answer to the nearest tenths ifneeded.
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