The fraction of the amount Liang has left is
To derive L (amount of money Liang will have left), add X (amount spent on a pen) and Y (amount spent on books) together, then the derived value be subtracted from M (fraction of total amount Liang has got) i.e.: M – (X + Y)
Therefore, L = M – (X + Y)
Deriving (X + Y)
= X + Y
= +
= (1 x 7) + (3 x 4) / 21
= (7) + (12) / 21
= 7 + 12 / 21
=
X + Y =
Since the lowest common denominator of the fraction of X and Y = 21, then the fraction of M =
Thus, M =
Recall, L = M – (X + Y)
Thus,
L = –
L = (1 x 21) – (1 x 19) / 21
L = (21) – (19) /21
L = 21 – 19 /21
L =
Hence, the amount Liang will have left is
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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
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
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.
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.
Answer:
It's A)
Step-by-step explanation:
I'm good at the game.
To solve the equation S = 2Πrh + 2Πr² for h, you need to isolate the variable h on one side of the equation.
To solve the equation S = 2Πrh + 2Πr² for h, we need to isolate the variable h on one side of the equation. Here are the steps:
So the result is h = (S - 2Πr²) / (2Πr).
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