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Eduardwww [97]
3 years ago
14

Josh runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

66 minutes

Step-by-step explanation:

Method I -  proportion

x/44 = 9/6

multiply both sides by 44

x = 9 / 6 * 44

x = 66 minutes

--------------------------

Method II - rate

44/6 = 7.3333333 minutes / mile

9 * 7.3333333 = 66 minutes

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Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.

AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
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3 years ago
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If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y
zaharov [31]
We define the probability of a particular event occurring as:
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Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

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3 years ago
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Answer:

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