C = 2πr or C = πd
Diameter d = 57 cm
C = πd
C = π*57 = 57π
C ≈ 57 * 3.14159 = 179.07063
Exact circumference is 57π cm or
≈ 179.07 cm.
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.
Answer:
-43 < -35
(Negative 43 is less than negative 35).
The correct answer is: "The y's because the coefficients are the same."
Further explanation:
we always try to eliminate the variable from the system of equations which involves lesser calculations and complexity.
Assuming that Given equations are:
Equation 1: 82x + 2y = 30
Equation 2: 70x + 2y = 24
we can see that the coefficients of x are very large and different. While the coefficients of y are same. We can only subtract the equations to eliminate y.
Hence,
The correct answer is: "The y's because the coefficients are the same."
Keywords: Linear equations, variables
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