Answer:
50 gallons 20%
50 gallons 30%
Step-by-step explanation:
If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:
x + y = 100
0.20x + 0.30y = 0.25(100)
Solve the system of equations using substitution or elimination. Using substitution:
0.20x + 0.30(100 − x) = 0.25(100)
0.20x + 30 − 0.30x = 25
5 = 0.10x
x = 50
y = 50
Answer:
720 mL ; 1080 ml
Step-by-step explanation:
Givenn:
Apple syrup : water = 2 : 3
Fruit juice volume made using the ratio above = 1800 ml
Sum of ratio = 2 + 3 = 5
Litres of Apple syrup :
(Syrup ratio / total) * total volume of fruit
(2 / 5) * 1800
= 0.4 * 1800
= 720 ml
Litres of water :
(water ratio / total) * total volume of fruit
(3 / 5) * 1800
= 0.6 * 1800
= 1080 ml
Answer: (6,0)
Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.
So we have 2x - 3(0) = 12.
Simplifying from here, we have 2x = 12.
Now divide both sides by 2 and we get <em>x = 6</em>.
So our x-intercept is 6.
This means that our line crosses the x-axis 6
units to the right of the origin or at the point (6,0).
so translation means that the points are moving on the graph
so the shape is moving down three then left two
it doesn’t change the shape in any way it just moves the shape
so all the sides and angles are the same
so the polygon is completely congruent with the premise and image since the shape didn’t change