Answer:
<em>Farmer Bill sold 120 lb of potatoes</em>
Step-by-step explanation:
Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.
Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:
This is the remaining portion of the potatoes.
Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:
Thus:
x = 120 lb
Farmer Bill sold 120 lb of potatoes
19 x (12 + 2 + 3) = 323
323 - (2 x 2) - (3 x (14 + 2))
= 323 - 4 - 48
= 271
Answer:
One solution
Step-by-step explanation:
3(x – 2) = 22 – x
Distribute
3x - 6 = 22 -x
Add x to each side
3x-6+x = 22-x+x
4x -6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
Answer:
201.06 cubic feet of confetti
Step-by-step explanation:
Answer:
x = 5
AB = 14 units
Step-by-step explanation:
From the picture attached,
In the given triangles ΔAEB and ΔCDB,
AE║CD and ED is a transverse,
∠EAB ≅ ∠DCB [Alternate interior angles]
AE║CD and AC is a transverse,
∠AEB ≅ ∠CDB [Alternate interior angles]
ΔAEB ~ ΔCDB by AA property of the similarity of two triangles.
Therefore, corresponding sides of these triangles will be proportional.
⇒ 
⇒ 7x + 21 = 8x + 16
⇒ 8x - 7x = 21 - 16
⇒ x = 5
AB = (2x + 4)
= 10 + 4
= 14 units
