Answer:y=3x+4
Step-by-step explanation:
<span>ABCD is an isosceles trapezoid with legs AB and CD
∴ AB = CD
</span>
<span>AB = 6y +5
</span>
<span>CD= 2y +1
∴ 6y + 5 = 2y + 1
6y - 2y = 5 - 1
4y = 4
∴ y = 4/4 = 1
</span>
Answer: Karen picked 1200 pounds.
Bob picked 600 pounds.
Gina picked 400 pounds.
Step-by-step explanation:
Let x represent the number of pounds of oranges that Karen picked.
Let y represent the number of pounds of oranges that Bob picked.
Let z represent the number of pounds of oranges that Gina picked.
Karen picked twice as many pounds as Bob. It means that
x = 2y
y = x/2
Karen picked 3 times as many as Gina picked. It means that
x = 3z
z = x/3
The total weight of the oranges they picked was 2,200 pounds. This means that
x + y + z = 2200- - - - - - - - - -1
Substituting y = x/2 and z = x/3 into equation 1, it becomes
x + x/2 + x/3 = 2200
Cross multiplying by 6, it becomes
6x + 3x + 2x = 13200
11x = 13200
x = 13200/11
x = 1200
y = 1200/2 = 600
z = 1200/3 = 400
X / 40 = 4 /32 ( similar triangles)
x / 40 = 1 / 8
x = 40/8 = 5 answer