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Naddik [55]
3 years ago
8

Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

the unit rate for miles per gallons = 3.95 miles

Step-by-step explanation:

Let x be the unit rate for miles per gallon.

Given:

Jack drove 43.5 miles. He used 11 gallons of gasoline.

Find the unit rate for miles per gallon?

Jack used 11 gallons of gasoline for 43.5 miles.

11 gallons = 43.5 miles

The unit rate for miles per gallon is

unit rate of gallons = total miles divided by total used gallons of gasoline

x=\frac{43.5}{11}

x=3.95miles

Therefore, the unit rate for miles per gallons is 3.95 miles.

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From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

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2 years ago
What is the value of 16- a when a = 9​
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