Answer:
The length is 56 and the width is 54.
Step-by-step explanation:
The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.
Answer:
The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
Step-by-step explanation:
With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:
0.75r+0.50g≤20, where:
r is the number of rides
g is the number of games
an instruction, command, or duty given to a person or group of people
Binary Operations
The union of two sets A and B is denoted A ∪ B and
is defined as A ∪ B = {x|x ∈ A or x ∈ B}.
The intersection of two sets A and B is denoted A∩B
and is defined as A ∩ B = {x|x ∈ A and x ∈ B}.
Two sets are disjoint if they have no elements in common,
that is, A and B are disjoint if A ∩ B = ∅.
Answer:
x = -4, x = 4
Step-by-step explanation:
A denominator cannot equal zero since division by zero is undefined.
Set the denominator equal to zero and solve for x. That will give you the values of x that would cause the denominator to be equal to zero and must be excluded from the domain.
x^2 - 16 = 0
(x + 4)(x - 4) = 0
x + 4 = 0 or x - 4 = 0
x = -4 or x = 4
Answer: x = -4, x = 4
