189 tickets were purchased on Saturday. The ratio of children's tickets to adult tickets is 8:1, indicating that 8 times as many children's tickets were sold compared to adult tickets. Let c represent the number of children's tickets and a the number of adult tickets. Therefore, 8a = a + 147. By subtracting a from both sides, we find 7a = 147. Upon dividing both sides by 7, we find a = 21 adult tickets. By multiplying the number of adult tickets by 8, we discover that 21 * 8 = 168 children's tickets. Adding these together gives a total of 168 + 21 = 189 tickets sold on Saturday.
Answer:
1. What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?
Answer: The amplitude is 80 ft and the period is 60 ft.
2. Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?
Answer: y = 80cos(x*π/30)+80
3. When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?
Answer: y = 40cos(x*π/30)+80
4. Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?
Answer: y = 40cos(x*π/30)+40
Step-by-step explanation:
Each month she puts in 20......therefore annually she deposits (20 * 12) = 240 y = 240x + 200
Response:
2(3-n)+5.
Clarification:
Twice a number plus five equals three times the difference between that number and two. "More" indicates addition, hence twice the number is represented as multiplying N (or whatever variable) with the determination that it equals three times the reduction of that number and two.
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