Answer:
yes
Step-by-step explanation:
We need to check if the circle with a circumference of 15 feet is smaller then 7 feet. If so it possible.
Formule for circular circumference = pi * diameter, which should be 15.
So pi * d =15
There fore d = 15/pi
d = 4.77464829275686 feet, which is smaller then 7 feet, so it will fit easilly.
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that 
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.
Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
I saw the images that accompanied this problem.
2 circles: circle 1 has 6 slices ; circle 2 has 3 slices
Circle 1 is for Tom: you can shade 4 slices out of the 6 slices.
Circle 2 is for Liz: you can shade 2 slices out of the 3 slices.
4/6 is equal to 2/3 because when 4 and 6 are both divided by 2, they give quotient of 2 and 3, respectively.
4 ÷ 2 = 2
6 ÷ 2 = 3
Answer: (4, 5)
Work:
Substitute the y in the second problem with y=x+1
3x-2(x+1)=5
3x-2x+1=5
x=4
Now solve for y
y=4+1
y=5
