Answer:
4/6
Step-by-step explanation:
4/6 is 2/3 but 2 times bigger.
Initial condition:
g+d=700
g=700-d
final condition
d+20=(2g/3)(1/6)
d+20=g/9
9d+180=g, and since g=700-d we can say
9d+180=700-d
10d+180=700
10d=520
d=52, and since g=700-d
g=648
The original number of ducks was 52 and the original amount of geese was 648.
So there were originally (648-52) 596 more geese than ducks.
Answer:
There is only 1 solution for x.
Step-by-step explanation:
Hi there!
This is a linear-quadratic system. If the line is tangent to the parabola, it means that it would only have 1 solution.
Set y equal:
Move everything to the left side:
Divide both sides by 3:
Factor:
Solve for <em>x</em>:
Therefore, the only solution for x when y is set equal for both functions is 1. There is only 1 solution for x, so is tangent to the curve .
I hope this helps!
12 boxes
each contains 24 cans of soup
number of cans total=number of boxes times number of cans per box
total=12 times 24
tota=288
answer is 288 cans
The slope is 2/3 because it rises 2 and moves right 3