Answer:
y=.5 or y=1/2
Step-by-step explanation:
3(0)+2y=1
3 x 0 = 0
0 + 2y = 1
2y = 1
Divide by 2
y=.5 or y=1/2
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
Answer:
(-5 , 1)
Step-by-step explanation:
If you are reflecting over the x-axis, you are changing the sign of the y.
If you are reflecting over the y-axis, you are changing the sign of the x.
In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.
(5 , 1) reflected over the y-axis is (-5 , 1)
(-5 , 1)
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Answer:
2/3 (B)
Step-by-step explanation:
The y values increase by 2 every time and the x values increase by 3. The rule for slope is rise(y)/run(x) so you get b, 2/3