the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr
1 answer:
Answer:
The pressure is
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
In this problem we have
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For ,
step 1
Find the value of k
substitute the values of V and P
The equation is equal to
step 2
Find the pressure when the volume is 125 cubic inches
For
substitute in the equation and solve for P
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Answer:
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Answer:
After 3 weeks they both will have the same amount in their savings account.
Step-by-step explanation:
Given:
Amount saved by Haley = $155
Amount saved by Hank = $230
Amount saving each week by Haley = $10
Amount spending each week by Hank = $15
We need to find Number of weeks when both both will have same amount in savings account.
Solution:
Let Number of week be 'x'.
Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.
framing in equation form we get;
Total Amount of Haley =
Also;
Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.
framing in equation form we get;
Total Amount of Hank =
Now we need to find the number of weeks when both will have same amount.
To find the same we will have to make both the equation equal.
So we can say.
On Solving above equation we get;
We will combine the like terms together;
Now Dividing both side by 25 using Division property of equality we get;
Hence, After 3 weeks they both will have the same amount in their savings account.