Answer:
6 laps.
Step-by-step explanation:
On Monday she runs 2x + 8 miles, where x miles = the length of the trail.
On Tuesday she runs 4x + 4 miles and this is the same distance as Monday, so
2x + 8 = 4x + 4
4 = 2x
x = 2 miles which is the length of the trail.
So each day she runs 4(2) + 4 = 12 miles.
So on Saturday she runs 12/ 2 = 6 laps.
Answer:
1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5
Step-by-step explanation:
So since you are only buying 1 soda and you are buying multiple bags of Cheetos so you are able to use you debit card and meet the requirement of at least $5, you can make the inequality:
1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5
where x is the number of bags of Cheetos.
Answer:
210
Step-by-step explanation:
find the area of each rectangle and add it to the area of both the triangles
9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
