Answer:
Length = 21 yards
Width = 15 yards
Step-by-step explanation:
Let
Length = x
Width = x - 6
Perimeter ≤ 71 yards
Perimeter of a rectangle = 2 (length + width)
72 ≤ 2(x + x-6)
72 ≤ 2 (2x - 6)
72 ≤ 4x - 12
72 + 12 ≤ 4x
84 ≤ 4x
x ≤ 84/4
x ≤ 21
Length = x = 21 yards
Width = x - 6
= 21 - 6
= 15 yards
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
Answer:
A) 1/12
Step-by-step explanation:
The sample space of rolling a die is { 1,2,3,4,5,6}
P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space
P (getting a 3} = 1/6
P (getting even)= The number of evens in the sample space over the number of items in the sample space
P (getting an even} = 3/6= 1/2
Since these are independent events, we multiply the probabilities
P(3, even) = 1/6 * 1/2 = 1/12
Answer:
4k^3 + k^2 - 2k + 7
Step-by-step explanation:
Hope this helps, and good luck
