First, you could see the amount of fence he could buy, or 144/6, which would be 24, so Mr. North can buy 24 yards of fencing.
So now to find the possible plans, we know that there are four sides, but the width and the length occur twice since it's a rectangle.
So since we know that, we can just split 24 in half to find the possibilities for one of the width sides and one of the length sides, if that makes any sense. 24/2 = 12.
So now, you could say some possibilities are length = 6 and width = 6, or length = 4 and width = 8.
And now, to consider which plan would be the best, it would probably be a 6x6 design, because it gives the biggest area to the vegetable garden, and is easy to move around.
width = 6
length = 6
area = 36 square yards (6×6)
perimeter = 24 yards (6+6+6+6)
The answer is (-7.5, -7.5)
Answer:
34 is 85% of 40
Step-by-step explanation:
<em>Without</em> using a truth table:
(<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em> ⇔ (¬<em>p</em> ∨ <em>q</em>) ∨ <em>q</em> ⇔ ¬<em>p</em> ∨ <em>q</em> ⇔ <em>p</em> ⇒ <em>q</em>
<em />
<em>With</em> a table:
<em>p</em> … <em>q</em> … <em>p</em> ⇒ <em>q</em> … (<em>p</em> ⇒ <em>q</em>) ∨ <em>q</em>
T … T … T … T
T … F … F … F
F … T … T … T
F … F … T … T
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25