. Multiplying the denominator by 
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by 
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so 
divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
Answer:
{(0,0),(0,1),(1,2),(1,3)}
Step-by-step explanation:
If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on
Answer:
27KG
Step-by-step explanation:
Mouse- M , Cat - C, Dog - D
M + C = 10 ----- (1)
M + D = 20 -------(2)
C + D = 24 --------(3)
(1) - (2) => C - D = -10 ---- (4)
(3) + (4) => 2C = 14
=> C = 7
Substitute C in (1) => M + 7 = 10
=> M = 3
Substitute M in (2) => 3 + D = 20
=> D = 17
Therefore C + M + D = 7 + 3 + 17 = 27KG
Answer:
50.24
Step-by-step explanation:
diameter is 8 inches
radius is 4
formula:
area = pi times radius squared
area = pi times 4 squared
area = pi times (4 times 4)
area = 3.14 times 16
area = 50.24
Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
