<span>Ok so consider 100 divided by 11. remainder here is 1. Now consider the remainder when 100×100 is divided by 11. consider that you have one hundred hundreds, and each of them have a remainder of 1 when divided by 11. So, go through each of your hundred hundreds and divide it by 11, leaving remainder 1. Then collect up your remainders into a single hundred, and divide it by 11, leaving a remainder of 1. This process can be extended to dividing 100x100x100 by 11, and indeed, to dividing any power of 100 by 11.</span>
Answer:
9
Step-by-step explanation:
To find the median of a set of data, arrange the data by value:
6, 7, 9, 12, 13
The number in the middle is the median.
Answer:
The one-time security deposit is just 575, if you add it to the cost of renting the beach house, you then get y, which is the total cost of everything. haha, its logical.
so,
The one-time security deposit is just 575.
and
The cost of renting the beach house is 151x.
while
The total cost of the rental is y, i.e 151x + 575.
180. 180 ÷ 5 = 36, and 180 ÷ 3 = 60, and 60 + 36 = 96.
Answer: the rate of the river's current is 14 mph.
Step-by-step explanation:
Let x represent the rate of the river's current.
The speed of the motor boat in still water is 35 mph.
Since the boat travelled more miles downstream than upstream at the same time, it means that while going downstream, it moved in the direction of the current and while going upstream, it moved against the direction of the current. The total speed downstream would be
(35 + x) mph and the total speed upstream would be (35 - x) mph.
Time = distance/speed
If the boat can travel 7 miles downstream, the time spent travelling downstream is
7/(35 + x)
At the same time it takes to travel 3 miles upstream, the time spent travelling upstream is
3/(35 - x)
Since the time is the same, then
7/(35 + x) = 3/(35 - x)
Cross multiplying, it becomes
7(35 - x) = 3(35 + x)
245 - 7x = 105 + 3x
3x + 7x = 245 - 105
10x = 140
x = 140/10
x = 14