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:
9:30am
Step-by-step explanation:
Given data
Start time= 8:20am
Folding time= 25min
Time spent on Puzzle= 45min
Total time = 25+45= 70min= 1:10 min
Therefore the time she finishes is
8:20+ 1:10= 9:30 am
Hence she finished by 9:30am
I'm guessing you are looking for the answer on the first question, because I cannot read the rest of the second one lol.
So start with the volume of cone formula: V=3.14(5)^2 (6/3)
157.08
157
H is the answer
Answer:
x = -5
Step-by-step explanation:
Note that x does not change. Hence, this line is a vertical one, and its slope is undefined. The line is defined by the equation x = -5.
Answer:
4/7
Step-by-step explanation:
2/7 x 3= 6/7. 6/7× 2/3=4/7