Answer:
For Skyhigh : 40 friends
For Jump it up : 90 friends
Step-by-step explanation:
Given that :
Maximum spending = $250
SKY HIGH FEES :
Party set up fee = $50 ; Amount paid per person = $2
JUMP IT UP FEES :
Party set up fee = $70 ; Amount paid per person = $2
THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:
Party setup fee + Number of persons * fee per person ≤ maximum spending
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh can accommodate 90 friends Given the conditions
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up can accommodate up to 90 friends Given the conditions.
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
