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skad [1K]
3 years ago
11

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the

oven heat up in 1 minute?
Mathematics
1 answer:
lesya [120]3 years ago
5 0

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute

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Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
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Answer:

x = 8

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3(x - 2) + 8 = 2(x + 5)

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

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<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(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

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