The first one states that there are 6 cups of orange juice for every _ cups of punch
There are 6 cups of orange juice and 4 cups of cranberry in 10 cups of juice because 6 c orange + 4 c cranberry = 10 cups total punch
So for 6 cups of orange juice there would be 10 cups of punch.
The 3rd one states that the ratio of cranberry juice to punch is _:_
Punch is cranberry and orange combined- at the ratio of 4:6
So for 4 cups of cranberry, there would be 10 cups punch (4 c cranberry + 6 c orange = 10 c punch)
So the ratio would be 4:10, it can be simplified like fractions as 2:5
I don't know is you have to but if you do, don't forget to simplify the ratios.
Good luck!
They intersect at point...
(-1,4)
Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Long Piece: x + 18
Short Piece: x
(x) + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
Long Piece: x + 18 = (33) + 18 = 51
Answer: 33 meters and 51 meters
Answer:
2500
Step-by-step explanation:
5×5 ( 5×5×5 - 5×2 )
25 ( 125 - 25 )
25 ( 100)
25 × 100
= 2500
