What is the standard form equation of the line shown??
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Simplify 15(5b+3) Please help me I don't understand at all
The area of the base of a prism is 21 cm squared. The perimeter of the base is 20 cm. The height of the prism is 8 cm. What is the surface are of the prism?.
If y = 2x2 – 4x, what is the value of y when x equals 5. A.10 B.30 C.80 D.480need the answer asap
How many decimal places do you think are in the product of 3.2 x 0.77 x 1.6
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Next, you would make all the numbers after it 0. 100,000.
The value of 1 is 100,000.
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the whole number or the ones's place
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Answer
Find out the speed of the boat in still water .
To proof
Let us assume that the speed of the boat in still water be u .
As given
The speed of a stream is 4 mph
hence
speed upstream = u - 4
speed downstream = u + 4
Formula
As given
A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream.
First case for the upstream
Second case for the downstream
now compare the equations
simplify the equation
8( u +4 ) = 16 (u -4)
8u +32 = 16u - 64
8u = 96
u = 12 mph is the speed of the boat in still water .
Hence proved
The speed of the stream = 4 mph.
Let us assume speed of the boat in still water = x mph.
Total speed upstream = (x-4) mph.
Total speed downstream = (x+4) mph.
We know, time, speed and distance relation.
Time = Distance / Speed.
Total time taken upstream = 8 / (x-4)
Total time taken downstream = 16/(x+4).
Time taken upstream = time taken downstream.
Therefore,
8 / (x-4) = 16/(x+4).
On cross multiplication, we get
16(x-4) = 8(x+4).
16x - 64 = 8x +32.
Adding 64 on both sides, we get
16x - 64+64 = 8x +32+64
16x = 8x + 96.
Subtracting 8x from both sides, we get
16x-8x = 8x-8x + 96.
8x = 96.
Dividing both sides by 8, we get
x = 12.
Therefore, 12 mph is the speed of the boat in still water.
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increasing by 3 inches every hour.
How long until the snowfall in both cities is equal?
A. 1 hour and 20 minutes
B. 1 hour and 33 minutes
C. 45 minutes
D. 1 hour 15 minutes
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Answer:
Therefore, after 1 hour and 20 minutes, the snowfall in both cities was equal to 13 inch.
Step-by-step explanation:
Calculating the depth of First Town:
First town has accumulated 5 inches of snow.
As the depth is increasing by 6 inches every hour
- i.e. 6 inch = 1 hour
so the depth increase after 45 minutes i.e. 3/4 hour = 4.5 inch
so
After 45 minutes
Snow level of First town after 45 min = 4.5 + 5 = 9.5 inch
After 1 hour
Snow level of First town after 1 hour = 5 + 6 = 11 inch
After 1 hour and 20 minutes
5 + 6 + 2 = 13 inch ∵ If 6 inch per hour, then 2 inch in 20 min
Calculating the depth of Second Town:
Second town has accumulated 9 inches of snow.
As the depth is increasing by 3 inches every hour.
- i.e. 3 inch = 1 hour
so the depth increase after 45 minutes i.e. 3/4 hour = 2.25 inch
so
After 45 minutes
Snow level of Second town after 45 min = 9 + 2.25 = 11.25 inch
After 1 hour
Snow level of Second town after 1 hour = 9 + 3 = 12 inch
After 1 hour and 20 minutes
Snow level of Second town after 1 hour and 20 minutes
9 + 3 + 1 = 13 inch ∵ If 3 inch per hour, then 1 inch in 20 min
From the above observation, it is clear that after 1 hour and 20 minutes the snowfall in both cities was equal.
Therefore, after 1 hour and 20 minutes, the snowfall in both cities was equal to 13 inch.