the answer is b shift 2 cause the mean of shift to equals 40.4
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:
I thank it is D
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:
top segment/bottom segment = x/(x+5) = (x-2)/(x+1)
Multiply by the product of denominators:
(x +1)x = (x +5)(x -2)
x² +x = x² +3x -10 . . . . . eliminate parentheses
10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation
5 = x . . . . . divide by 2
