Let X represent the number of hours you travelled
Let B represent number of hours Brian travelled
Equation 1 is X + B = 20 (since combination of number of hours you and Brian travelled equal to 20 hours)
Equation 2 is M = 5B (since you travelled five times more than the amount in which Brian travelled)
Plug Equation 2 into Equation 1 (replacing M with its value)
5B + B = 20
Rearrange equation to make B its subject (find B)
6B = 20
6B/6 = 20/6
B = 3(1/3)
Brian travelled a total of 3(1/3) (three and a third) hours.
(1/3) of an hour = 60/3 or 60*(1/3) = 20mins
Brian travelled a total of 3hrs & 20mins.
Plug B value back into Equation 1
M + B = 20
M + 3(1/3) = 20
Rearrange equation to make M its subject (find M)
M = 20 - 3(1/3) = 16(2/3)
You travelled a total of 16(2/3) (sixteen and two-thirds) hours.
(2/3) of an hour = 60/3*2 or 60*(2/3) = 40mins
You travelled a total of 16hrs & 40mins.
It can help to write each number in expanded form, where the digit is multiplied by a power of the base.
332 base 5 = 3*5^2 + 3*5^1 +2*5^0 = 75 +15 +2 = 92
In base 8, this is
92 = 64 + 24 + 4 = 1*8^2 + 3*8^1 + 4*8^0 = 134 base 8
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The conversion of an integer to base b is often done by finding the remainder when dividing by b.
92/8 = 11 remainder 4
11/8 = 1 remainder 3
1/8 = 0 remainder 1
The digits of the converted number (right to left) are the remainders at each step. Here: 92 = 134 (base 8).
Answer:
The unit rate is 0.11 $/ounce
Step-by-step explanation:
we know that
To find the unit rates divide the total cost by the total volume
so
(6/54)=0.11 $/ounce
1 mile = 5280 feet
0.5 mile = 5280/2 = 2640 feet
640 ft is thus smaller than 0.5 miles.
Answer:
Step-by-step explanation:
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