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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68>6t+4 when ever the number is per something(the 6) you put the variable with it and 4 is the constant
t>16
The coin wouldn't be fair, because it landed on heads 72/100 times. If the coin was fair, the results should be equivalent to 1/2.
Answer:
96
Step-by-step explanation:
Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.
Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.
Choice B has a rotation. Nope.
Choice C has a shifting and a reflection. Nope.
Choice D has a rotation and shifting. Nope.
Thus choice A is best.
