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JulsSmile [24]
3 years ago
11

A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496 square inches. the cheerl

eaders make signs similar to the banner. the length of a sign is 11 inches. what is its perimeter and its area?
Mathematics
1 answer:
STatiana [176]3 years ago
3 0

A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496 square inches. the cheerleaders make signs similar to the banner. the length of a sign is 11 inches. First solve the width of the rectangle:

1496 sq in/ 44 = 34 in

So the sign has also a width of 34 in and a length of 11 so the area is 34*11 =374 sq in

<span>The perimeter is (34*2) +(11*2) =90 in</span>

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What is the value of x in the equation 3- 2x = -1.5х?
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Answer:

x = 6

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

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3 - 2x = -1.5x

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

  1. Add 2x on both sides:                    3 = 0.5x
  2. Divide 0.5 on both sides:               6 = x
  3. Rewrite:                                           x = 6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    3 - 2(6) = -1.5(6)
  2. Multiply:                               3 - 12 = -9
  3. Subtract:                              -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

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3 years ago
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