4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.
We construct a number 
such that taking it mod 4, 5, and 7 leaves the desired remainders:
- Taken mod 4, the last two terms vanish and we have
so we multiply the first term by 3.
- Taken mod 5, the first and last terms vanish and we have
so we multiply the second term by 2.
- Taken mod 7, the first two terms vanish and we have
so we multiply the last term by 7.
Now,
By the CRT, the system of congruences has a general solution
or all integers 
, 
, the least (and positive) of which is 27.
Answer & Step-by-step explanation:
It increased by 10 each year
Year 1 of 8: 70
Year 2 of 8: 80
Year 3 of 8: 90
Year 4 of 8: 100
Year 5 of 8: 110
Year 6 of 8: 120
Year 7 of 8: 130
Year 8 of 8 (Final Year): 140
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<u><em>Hope this helps!!! :)</em></u>
Answer:
32.9
Step-by-step explanation:
47% of 70 would be answered by doing the following
0.47 x 70 = 32.9
To convert from a percent into a decimal, divide the percent by a hundred and you will have your decimal.
Answer:
12 minutes
Step-by-step explanation:
<u>50 miles</u> = <u>10 miles</u> << Equivalent
1 hour = x << fraction
You divide 50 by 5 to get 10,
so to get the number of minutes for 10 miles,
divide 60 by 5.
(1 hour = 60 minutes, 60/5 = 12)
Answer:
See below
Step-by-step explanation:
9 x 1/8 = 1.125
10 x 1/8 = 1.25
9 1/2 x 1/8 = 1.1875
12 x 1/8 = 1.5
8 1/2 x 1/8 = 0.5
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