The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.
He will get a flat rate of 30, plus $1.25 per mile (m) he drives.
The equation formed;
R = 30 + 1.25m
The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.
Learn more about equations here;
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Answer:
25 dimes & 12 nickels
Step-by-step explanation:
Let there be "n" nickels and "d" dimes
Total, there are 37 of them, so we can write:
n + d = 37
Also, valueof nickel is 0.05 and value of dime is 0.10 (in dollars) and total value of these 37 coins is 3.10, so we can write:
0.05n + 0.10d = 3.10
Now we can write first equation as:
n + d = 37
n = 37 - d
Replace this into equation 2 and solve for d:
0.05n + 0.10d = 3.10
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25/0.05
d = 25
Now, n = 37 - d, n = 37 - 25 = 12
So,
There are 25 dimes & 12 nickels
Check the picture below.
so is really just a cylinder with a cone on the side, notice, since the diameter of the base is 4, the radius is half that then.
so we just simply get the volume of the cylinder, and the cone, and sum them up
80.51275. Because 1 pound=0.453592 kilograms. 0.453592*71=32.2051 32.2051*2.5=80.51275
