The number of quarters she have 11.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let consider y = quarters; x = dimes
We know that there are 3 times as many dimes as quarters. So we can state that x = 3y.
Then, we say that 25y + 10x = 605
(Value of coin * amount of coins)
Then we substitute x=3y into the equation, yielding:
25y + 10(3y) = 605
25y + 30y = 605
55y = 605
605/55 = 11 = y
Therefore, the number of quarters she have 11.
Learn more about equations here;
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Answer: u do you have the pic of your question
Step-by-step explanation:
Think it of a fraction problem,
Answer:
1. x = 8
2. y = 1/2
Step-by-step explanation:
1. Plug the function
5x + 20(0.50) = 50
= 5x + 10 = 50
Subtract 10 from both side
= 5x = 40
Divide 5 on both sides
= x = 8
2. Plug in the function
5(8) + 20y = 50
= 40 + 20y = 50
Subtract 40 on both sides
= 20y = 10
Divide 20 both sides
= y = 10/20 | 1/2
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
