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ValentinkaMS [17]
3 years ago
14

A motorcyclist rides 973.50 miles using 29.5 gallons of gasoline what is the mileage in miles per gallon

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Answer:

The mileage is 33  miles per gallon.

Step-by-step explanation:

Miles per gallon = miles travelled / gallons consumed

= 973.50 / 29.5

= 33.

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Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.
Dafna11 [192]

Given equation : \frac{x}{42}=\frac{3}{7}.

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

<h3>x = 18.</h3>

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

42\times \frac{x}{42}=42\times\frac{3}{7}

x = 6 * 3

<h3>x = 18.</h3>
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Consider parallelogram VWXY below.
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Answer:

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Step-by-step explanation:

<u>Properties of a parallelogram</u>

  • Two adjacent angles are supplementary
  • Opposite angles are congruent
  • Opposite sides are parallel and congruent

Use the properties to find the required parameters

1) <u>Find m∠YXV</u>

  • m∠YXV + m∠VXW + m∠VWX = 180°
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  • m∠YXV = 180° - 124°
  • m∠YXV = 56°

2) <u>Find m∠Y</u>

  • m∠Y = m∠W = 84°

3) <u>Find x</u>

  • 2x = 6
  • x = 6/2
  • x = 3
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