Answer:
For #3 the answer is 113.04 (6 + g) / 32
Step-by-step explanation:
A = Pi * r * (r + g)
12/2 = 6 ft
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet
113.04 (6 + g) / 32
It would be greater, because 1 foot is equal to 12 inches. 8 times 12 is 96. Then 96 plus 6 inches in 102. So it would be greater.
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: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.
The solutions to q² - 125 = 0 are q = ±√125.
q = -5√5
q = 5√5
