X=amount of canned juice with 25% of orange juice
y=amount of other canned juice with 10% of orange juice.
25%=25/100=1/4
10%=10/100=1/10
17%=17/100
We can suggest this system of equations:
(1) x+y=15
(2) (x/4+y/10) / (x+y)=17/100 ⇒100(x/4 + y/10)=17(x+y) ⇒25x+10y=17x+17y ⇒8x-7y=0
Finally, we have this system of equations:
x+y=15
8x-7y=0
We can solve this system by substitution method.
x+y=15 ⇒ y=15-x
8x-7(15-x)=0
8x-105+7x=0
15x=105
x=105/15
x=7
y=15-x=15-7=8
answer: we should mix 7 liters of juice (with 25% orange juice) and 8 liters of juice (with 10% orange juice).
Answer: d . 0.14
Step-by-step explanation: i got it correct on edge
The answer is -5/4 and that was easy
Answer:
40
Step-by-step explanation:
Angles in a circle add up to 360 degrees.
135 + 145 + x + x = 360
280 + 2x = 360
2x = 80
x = 40
The equation of the first line can be written in point-slope form as
.. y = 3(x +1) -8
or
.. 3x -y = 5
The equation of the second line can be written in 2-point form as
.. y = (-1-3)/(10-(-6))*(x +6) +3
.. y = (-1/4)(x +6) +3
or
.. x +4y = 6
A graph shows the solution to this system is (x, y) = (2, 1).
_____
The second equation can be used to write an expression for x:
.. x = 6 -4y
This can be substituted into the first equation.
.. 3(6 -4y) -y = 5
.. 18 -13y = 5 . . . . . . . collect terms
.. 13 = 13y . . . . . . . . . add 13y-5
.. 1 = y . . . . . . . . . . . . divide by 13
From the above equation for x
.. x = 6 -4*1 = 2