Answer:
52:49
Step-by-step explanation:
pink:green
The ratio of pink to green marbles is
3k:4k
He removes 5 green marbles and adds 8 pink marbles.
Now the ratio of pink to green marbles is
(3k + 8):(4k - 5)
This rario is equal to 29:23.
(3k + 8)/(4k - 5) = 29/23
29(4k - 5) = 23(3k + 8)
116k - 145 = 69k + 184
47k = 329
k = 7
Original amounts:
3 * k = 3 * 7 = 21 pink
4 * k = 4 * 7 = 28 green
Original total = 21 + 28 = 49
Amounts after replacement:
3k + 8 = 3(7) + 8 = 29 pink
4k - 5 = 4(7) - 5 = 23 green
Total after replacement = 23 + 29 = 52
Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
The solution to the equation ...
f(x) = g(x)
is the x-value where the functions have equal values. That is the x-coordinate of the point where the graphs intersect. The intersection point is (-3, 5), so the solution to the equation is x = -3.
That would equal 5 cups and 15 ounces
You can eliminate fractions by multiplying the whole thing by 7.
... -x +28 ≥ 21x
Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.
... 28 ≥ 22x
... 28/22 ≥ x
This fraction can be reduced, so we have ...
... A. x ≤ 14/11
