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netineya [11]
2 years ago
8

Which is a unit rate? 15 miles per gallon

Mathematics
1 answer:
Over [174]2 years ago
6 0

Step-by-step explanation:

Step:1

          From given, the rate is

                          = 15 miles per gallon

                          = \frac{15}{1}115 = 15 miles.........................(1)

Step:2

         Check for Option A,

                           = 30 miles per 3 gallons

                           = \frac{30}{3}330 = 10 miles.....................(2)

         From the eqn (1) and (2),

                                 Eqn (1) ≠ Eqn (2)

Step:3

           Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.

Step:4

         Check for Option  D,

                           = 60 miles per 4 gallons

                           = \frac{60}{4}460 = 15 miles.........................(3)

           From the eqn (1) and (3),

                              Eqn (1) ≠ Eqn (3)

Result:

         The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .

                         

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5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  7. Subtraction
  • Left to Right  

Equality Properties

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

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

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<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>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

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