The pythagorean theorem works for all right triangles. Just make sure it IS a right triangle.
Answer: 278.30 pounds (if the gasoline does not contain ethanol)
317.12 pounds (if the gasoline does contain ethanol)
Step-by-step explanation:
If the truck averages 12 miles per gallon, then in 170 miles it consumes:
170mi/12mi = 14.17 gallons.
We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)
Then for 14.17 gallons consumed, we have a emission of:
14.17*19.64 pounds = 278.30 pounds
I the gasoline contains ethanlol, for a gallon the emiision is around 22.38 pounds.
In this case the total emission is:
14.17*22.38 pounds = 317.12 pounds
It is C
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Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
