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:
21 h^10
Step-by-step explanation:
(7h^3)(3h^7)
Lets multiply
7*3 h^3 h^7
When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)
21 h^(3+7)
21 h^10
I hope it helps you get it right
Answer:
Option D is correct answer AD and CD are congruent
Step-by-step explanation:
because BD is bisector of AC
so AD = CD
