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alex41 [277]
3 years ago
6

Express the ratio below in its simplest form.8:21​

Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

it is already in it's simple form

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A boat, which moves at 29 miles per hour in water without a current , goes 825 miles upstream and 825 miles back again in 58 hou
Igoryamba

Answer:

  4 mph

Step-by-step explanation:

Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...

  825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time

  825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)

  58c² -928 = 0 . . . . . . . rearrange to standard form

  58(c -4)(c +4) = 0 . . . . factor

Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.

The speed of the current is 4 miles per hour.

8 0
2 years ago
A researcher surveyed 80 adults and found that 22 regularly run for exercise and 18 regularly swim for exercise.
Aliun [14]
Whenever the questions asks for the probability and has "or" you have to add the two probabilities. In the same way, "and" implies multiplication. Therefore, the probability that someone swims is:
\frac{18}{80} =  \frac{9}{40}

Probability that someone runs:
\frac{22}{80} =  \frac{11}{40}

Thus, if you add them:
\frac{9}{40} +  \frac{11}{40} =  \frac{20}{40}  =  \frac{1}{2}

So, the probability that someone swims <em>or</em> runs is 1/2 or 50%.
6 0
3 years ago
The temperature overnight in Sitka, Alaska was 12 below zero. How should this be written?
Bingel [31]

Answer:

-12°

Step-by-step explanation:

it is negative because it it below zero.

6 0
3 years ago
What is 625 in exponential form
Anit [1.1K]
5 x 5 x 5 x 5 = 625,

3 0
4 years ago
Read 2 more answers
What's the slope of the line shown
Sphinxa [80]

Answer:

i think it is 1

Step-by-step explanation:

4 0
3 years ago
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