Answer: the length of fencing that Juan needs to surround the entire garden is 6x - 4
Step-by-step explanation:
The perimeter of a plane shape is the distance round the shape. The garden is rectangular in shape.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The length of the garden is (2x – 5) feet and the width of the garden is (x + 3) feet. The length of fencing that Juan would need is
2[(2x - 5) + (x + 3)]
= 2(2x + x - 5 + 3)
= 2(3x - 2)
= 6x - 4
Answer:
(7, -6)
Step-by-step explanation:
You want to find point X on the segment from A to B such that ...
(X -A)/(B -X) = 3/2
2(X -A) = 3(B -X) . . . . . . cross multiply
2X -2A = 3B -3X . . . . . eliminate parentheses
5X = 2A +3B . . . . . . . . add 3X +2A
X = (2A +3B)/5 . . . . . . . divide by 5
Filling in the given points for A and B, we have ...
X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5
X = (7, -6)
The point that divides the segment in the proportions 3:2 is (7, -6).
Answer:
98pi
Step-by-step explanation:
Area of circle: pi(r)^2
A1=pi(7)^2
A2=pi(7)^2
A2+A1=98pi
Answer:
If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.
Step-by-step explanation:
120- 50= 70 ($70 saved each month)
Month 1- $70 saved total
Month 2- $140 saved total
Month 3- $210 saved total
Month 4- $280 saved total
Month 5- $350 saved total
Month 6- $420 saved total
It takes 6 months to get 400 saved. We could also divide to get
5.714285, but it would takes 6 months before reaching the goal. :)
Answer:
y = 30
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 20 as y and 8 as x, then solve for k:
y = kx
20 = k(8)
2.5 = k
So, the equation is y = 2.5x
Plug in 12 as x, and solve for y:
y = 2.5x
y = 2.5(12)
y = 30
So, when x = 12, y = 30
