Answer:
she earns 14.28 per hour and 6.75 each time.
Step-by-step explanation:
Answer:
direct variation has no constant and x is on top
EX:
y=5x/4 or y=4x or y/3=x
The area of a rectangle is A=LW, the area of a square is A=S^2.
W=S-2 and L=2S-3
And we are told that the areas of each figure are the same.
S^2=LW, using L and W found above we have:
S^2=(2S-3)(S-2) perform indicated multiplication on right side
S^2=2S^2-4S-3S+6 combine like terms on right side
S^2=2S^2-7S+6 subtract S^2 from both sides
S^2-7S+6=0 factor:
S^2-S-6S+6=0
S(S-1)-6(S-1)=0
(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:
S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...
W=S-2 and L=2S-3 given that S=6 in
W=4 in and L=9 in
So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.
1. If Alexandria wants to spend no more than 6 hours away from home and wants to hike for 2 hours, then she will be in way to the park and back to the home no more than t≤4 hours.
2. If she has an average speed 65 miles per hour to and from the park, then the distance to and from the park is no more than
miles.
3. The distance from the home to the park and back from the park to the home is the same, then the from Alexandria's home to the park is d≤130 miles.
Answer: The distance from the park to the Alexandria's home is d≤130 miles.