Answer:
Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
Step-by-step explanation:
Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:
Quarter = 0.25
Dime = 0.10
Nickel = 0.05
Penny = 0.01
0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41
0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).
0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).
0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X
0.25 + 0.30 + 0.25 + 0.02 = X
0.82 = X
Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.
Answer:
h = 22 units
Step-by-step explanation:
area = 1/2bh
165 = 1/2(15)h
15h = 330
h = 22 units
You are looking at right angles in the problem. Right angles are 90 degrees.
So set up the problem to solve for X using:
90=4x+12
90-12=4x
78=4x
39/2 or 19.5 = x
Answer: 4 / 5
Reasoning:
1) The function sine is defined as:
sin(x) = opposite-leg / hypotenuse
2) From the figure:
x = A
opposite-leg = 20
hypotenuse = 25
3) Calculations:
sin(A) = 20 / 25 = 4 / 5
Answer: 4 / 5
1. Percent error is

The guess is 15.5mi, and the actual distance is 14.5 mi.
Percent error is

2. The cost will be $31.95*(1+0.075) = $34.35
The 1 represents 100% of the original amount of $31.95, and now we add 7.5% (0.075) to the 100%. In other words we multiply $31.95 by 107.5%.
3. His commission will be $165 out of $4125, or $165/$4215 = 0.039 = 3.9%
4. The principal (amount of money you start with) is $12000, and the interest rate is 15% of that.
15% of $1800 = 0.15*$12000 = $1800