Answer:
24 monkeys are in the tree
Step-by-step explanation:
We solve it by writing times
Why is it over 100? Because every percent is out of 100!
X
(your equation)
60 times 40 = 2400 and 100 times 1 = 100, We get, ,
Lastly, we simplify the fraction by 100 on each side:
/
you get 24
The directly proportional relationship between p and q is written as
p ∝ q where that middle sign is the sign of proportionality. The pressure when the volume is 9L is 90 kPa.
<h3>What is a directly proportional and inversely proportional relationship?</h3>Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p ∝ q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
Boyle's Law says that the volume of a gas varies inversely with the pressure. Therefore, we can write,
Volume ∝ (1/Pressure)
V ∝ (1/P)
V = k/P
When the volume of a certain gas is 6L, the pressure is 135 kPa (kilopascals). Therefore,
6L × 135 kPa = k
k = 810 L-kPa
Now, the pressure when the volume is 9L is,
V = k/P
P = k/V
P = 810 L-kPa / 9L
P = 90 kPa
Hence, the pressure when the volume is 9L is 90 kPa.
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