D because you can set cookies as a variable x
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
330-> -100 = 230, 230-> -100= 130
(I literally just watched a video how to do this, I never had to do it this way when I was in 2nd grade)
[130 final answer]
Answer:
11x+5.25
Step-by-step explanation:
Open the brackets
1/2 x 10x= 5x, 1/2 x 6 =3
3/4 x 8x=6x, 3/4 x 3 =2.25
Like terms together
5x + 6x + 3 + 2.25
Answer
11x + 5.25
Answer:
3142 feet
Step-by-step explanation:
first, find the circumference of the wheel.
approx 75.4
every one rotation you travel approximately 75.4 inches
75.4 x 500 =37,700
37,700/12 = feet traveled
3141.6... feet
rounded = 3142
