Answer:
1000miles per hour
Step-by-step explanation:
Answer:
A reflection over the line x=3
Step-by-step explanation:
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:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16