Answer:
The answer is that x = 6 and y = -6
Step-by-step explanation:
In order to find these values, we can use elimination. To do so, we multiply the first equation by 2 and then add the equations together.
4x + 8y = -24
-4x - 2y = -12
------------------
6y = -36
y = -6
Now that we have this value, we can plug the value into one of the originals and find x.
2x + 4y = -12
2x + 4(-6) = -12
2x - 24 = -12
2x = 12
x = 6
Answer:
8. 1483.33
9. 21 months
Step-by-step explanation:
8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount available after expenses is 4583.33 -3100.00 = 1483.33 per month.
Morgan is able to put $1483.33 per month into savings.
__
9. If Morgan is able to save $1483.33 per month, it will take her ...
$30,000/$1483.33 ≈ 20.2
months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.
It will take Morgan about 21 months to save $30,000.
_
If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:
1483.33×m = 30,000
m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m
Answer:
Step-by-step explanation
S.P of a t.v = rs 7200
Loss % = 25%
Therefore, C.P = S.P (100/100-loss)
=7200(100/100-25)
=7200 x 100/75
=9600
So,now C.P = 9600
Profit% = 25%
Therefore, S.P = C.P (100+profit/100)
=9600(100+25/100)
=9600 x 125/100
=12000
So,the price he should sell to gain 25%
=12000
Hope it helps...!!!
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.
(2,-5),(-1,4)
slope = (4 - (-5) / (-1 - 2) = (4 + 5) / -3 = -9/3 = -3 <==
