Select three ratios that are equivalent to 8:58:58, colon, 5. Choose 3 answers: Choose 3 answers: (Choice A) A 16:1016:1016, col

2.8y + 6 + 0.2y = 5y – 14

Start by simplifying the left side:

3y + 6 = 5y - 14

Next, deduct 3y from both sides:

6 = 2y - 14

Add 14 to both sides:

2y = 20

Now, divide by 2:

y = 20 / 2

y = 10

Answer:

24 minutes

Step-by-step explanation:

Let y represent the rate of 120 envelopes per minute.

40/8 = 120/y

40y = 8 * 120

40y = 960

y = 960/40

= 24 minutes

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:

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

Answer:

The hourly rate for lectures is $7.33

Step-by-step explanation:

* Let's break down how to tackle the problem.

- For the level 3 course, examination hours are priced at double that of workshop hours.

- Workshop hours cost twice the rate of lecture hours.

- The total includes examination, workshop, and lecture hours.

- Examination lasts 3 hours, workshops 24 hours, and lectures 12 hours.

* Let’s denote the cost of lecture hours as $x per hour.

∴ The lectures cost $x per hour.

∵ Workshop charge is twice that of lectures

∴ Workshop hours cost 2(x) = 2x per hour.

∵ Examination fees are double that of workshop hours

∵ The workshop cost is 2x

∴ Examination fees are 2(2x) = 4x per hour.

- Combining costs for level 3 gives us the total of lecture, workshop, and examination hours.

∵ 12 hours for lectures

∵ 24 hours for workshops

∵ 3 hours for examinations

∵ Thus the total cost for level 3 = 12(x) + 24(2x) + 3(4x).

∴ Total cost for level 3 = 12x + 48x + 12x.

∵ Therefore, total cost = $528.

∴ 12x + 48x + 12x = 528.

∴ 72x = 528; hence we divide both sides by 72.

∴ x = 7.33.

∵ x represents the cost of lecture hours per hour.

∴ Therefore, the hourly price for lectures is $7.33.