A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The membe
1 answer:
Answer:
Step-by-step explanation:
Given
Members = 75
Cost of Shirt = $3
Color = $50 on all shirts
Required
Determine an equation to represent the scenario
Represent the members with x
Such that:
First, we need to determine the total cost of ordering x shirts
A shirt costs $3;
So,
Next, we determine the total cost of colors
Represent each color with y
The required equation is calculated as thus;
Substitute 75 for x
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The total volume of the jar is:
Where h is the height of the jar, a is the thickness and r is the inner radius.
The volume of empty space, bounded by the jar, is:
The volume of a jar shell is the difference between these two:
When we plug in all the number we get:
The weight of the jar is simply its volume times its density. We have to convert density of the glass:
Now we can find the mass:
The volume of water jar would displace depends how far the jar would sink.
There two forces acting on the jar when you put in the water. The first one is gravity and it's pulling the jar down. The second force is the buoyancy the and this force pushes the jar upward. In order for that jar to be stable, these two forces must be the same.
The buoyancy is given with this formula:
The volume of water that would be displaced by the jar can be expressed by this formula:
Where h' is the height of the jar that is submerged in the water.
So the buoyancy force is:
This force must be equal to the force of gravity acting on the jar:
We solve for h':
If we plug in the number we get:
Now we can calcuate the amount of water discplaced and its mas(keep in mind that we also converted density of water into lb/in^3):
We get the same mass as the mass of the jar, which makes perfect sense: