(x²+3x-4)(x-5)
x³-5²+3x²-15x-4x+20
x³-2x²-19x+20
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.
Answer:
e = 300 + .0275c
Step-by-step explanation:
So the earnings = e
Then she earns $300 and a bonus for cosmetics : 2.75%c which is equal to 0.0275 c or .0275c the c for cosmetics.
Thus the answer becomes :
e = $300 + .0275c
HOPE THIS HELPED
Answer:
-2x+8
Step-by-step explanation:
-2(x-4)
Distribute
-2*x -2*-4
-2x+8
The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.
Its area is
4+8
-------- 2 cm = 12 cm^2
2
The lower part consists of two congruent triangles. The area of a triangle is
A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.
Thus, the total area is (12+23) cm^2, or 35 cm^2.
