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murzikaleks [220]
3 years ago
8

Carlton ran 7 3/4 miles in 52 7/10 minutes. what is his average pace per minute?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

  5/34 mi/min

Step-by-step explanation:

To find miles per minute, divide miles by minutes:

  (7 3/4 mi)/(52 7/10 min) = (31/4 mi)/(527/10 min)

  = (31/4)(10/527) mi/min = 310/2108 mi/min = 5/34 mi/min

Carlton's average pace was 5/34 miles per minute.

___

Since the given numbers are mixed numbers, we assume this is supposed to be a problem in fractions. Hence we have given the answer as a fraction. Its decimal value is about 0.14706. It is a repeating decimal with a 16-digit repeat.

You may have to do a little work to reduce the fraction 310/2108 to 5/34. You have to factor out a factor of 62. The numerator is 310=2·5·31, so that gives you a short list of factors to try with the denominator.

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What is the slope / rate of change for 2, 5 and -3, 7​
Nady [450]

Answer:

\displaystyle m=\frac{-2}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 5)

Point (-3, 7)

<u>Step 2: Identify</u>

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{7-5}{-3-2}
  2. [Slope] [Fraction] Subtract:                                                                             \displaystyle m=\frac{2}{-5}
  3. [Slope] [Fraction] Rewrite:                                                                              \displaystyle m=\frac{-2}{5}
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2 years ago
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