Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer: C
Explanation: The y-intercept which is -9 matches with the equation and the slope matches too
F(x)=5x-2
y=5x-2
y=5(3)-2
y=15-2
y=13
so the answer is B. 13
36 inches = half the depth of the pool , so depth of pool = 72 inches = 6 ft
Volume of the cube = 6^3 = 216 cu ft
weight of the water = 216 * 56 pounds
= 12096 pounds
