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3 years ago

Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 64 miles?

Mathematics

2 answers:

Makovka662 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

80 / 5 = 16 so he can drive 16 miles on 1 gallon of gas

64 / 16 = 4 gallons of gas

mr_godi [17]3 years ago

4 0

Answer:

4 gallons

Step-by-step explanation:

80/5 will give you 16 so for each gallon the car can move 16 milles

so 64/16 = 4 so he will need 4 gallons of gas in order make the trip

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<h3>How to determine the period with the higher average?</h3>

From the dot plots in the complete question, we have the following frequency tables

<u>Period 1</u> <u>Period 7</u>

Score Students Score Students

55 1 65 1

70 1 75 3

75 6 80 5

80 6 85 6

85 2 90 3

90 3 95 2

95 1

The average is calculated using:

$\bar x = \frac{\sum fx}{\sum f}$

For period 1, we have:

$\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}$

Evaluate the sum

$\bar x_1 = \frac{1590}{20}$

Evaluate the quotient

$\bar x_1 = 79.5$

For period 7, we have:

$\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}$

Evaluate the sum

$\bar x_7 = \frac{1660}{20}$

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By comparison, 83 is greater than 79.5

Hence, the average score of period 7 is greater than the average score of period 1

​Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 64 ​miles?

Hank's pickup can travel 80 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 64 miles?