Answer: it will take the faster computer 15 minutes to do the job on its own.
Step-by-step explanation:
Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t
If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30
By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,
1/t + 1/30 = 1/10
Cross multiplying by 30x, it becomes
3x = x + 30
3x - x = 30
2x = 30
x = 30/2
x = 15 minutes
Hello from MrBillDoesMath!
Answer: 3
Discussion:
The perimeter of a polygon is the sum of the side lengths.
Perimeter of top polygon is (x+2) + 2x + (x + 2) + (4x + 1) = 8x + 5
Perimeter of bottom triangle is 4x + 2x + (3x+2 ) = 9x + 2
The perimeters are the same when
8x + 5 = 9x + 2
Subtract 8x from both sides:
5 = (9x - 8x) + 2 or
5 = x + 2
Subtract 2 from each side to get x = 3:
5 -2 = 3 = x
The perimeter of either figure is 29
Regards, MrB
Answer:
the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5.
Step-by-step explanation:
According to the Central Limit Theorem, assuming the sampling is random and sample size is big enough (≥30) the mean of the sampling distribution is the population mean.
Therefore the mean of the sampling distribution for the proportion of supporters with sample size n = 165 is 0.5
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (1, 4 ) → J' (- 1, 4 )
K (1, 0 ) → K' (- 1, 0 )
L (4, 3 ) → L' (- 4, 3 )
Plot the points J', K', L' and connect them in order to obtain image
Answer:
40 mph
Step-by-step explanation:
10 miles*4 hours = 40 miles
