Answer: the speed of the current is 9 mph.
Step-by-step explanation:
Let x represent the speed of the current.
A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.
Time = distance/speed
Time spent by the boat in travelling 270 miles is
270/(21 + x)
In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.
Time = distance/speed
Time spent by the boat in travelling 108 miles is
108/(21 - x)
Since the time is the same, then
270/(21 + x) = 108/(21 - x)
270(21 - x) = 108(21 + x)
5670 - 270x = 2268 - 108x
108x + 270x = 5670 - 2268
378x = 3402
x = 3402/378
x = 9
Answer:
Granite is a one of the most common igneous rock. Its used in building materials and making statues.
Step-by-step explanation:
Before going to the answer, let's first understand what a mark up is. The mark up is the amount that the seller will add to the purchase cost to the retail cost so that he can earn a profit. So the purchase cost of the television is 125 dollars, and the selling cost or retail cost of the television is 200 dollars. So what is the markup. Simply minus 125 dollars from 200 dollars and you will get the amount added to the purchase cost or simply the mark up. So 200 dollars - 125 dollars is 75 dollars. So 75 dollars is the markup that the merchant put on the television
Answer:
one inch on the map is 8 miles
Step-by-step explanation:
divide 24 by 3
<span>To rewrite the expression as a multiple of a sum of two numbers with no common factor, we're supposed to find the greatest common factor between the terms and factor it out. </span>We can see that both 15 and 24 are divisible by 3. So let's factor the 3 out. Since the 3 goes into 15 five times and into 24 eight times, the expression can be rewritten like this.
15 + 24 = 3(5 + 8)