# of guests waitstaff gratuity
10 18
20 36
30 54
40 72
50 90
<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds
<span>The accurate answer is "<span>The experimental probability is 1/15 lower than the theoretical probability."
The attached table illustrated in the image indicates that the theoretical probabilities are: 2/5 for drawing a Jack, 4/15 for a Queen, and 1/3 for a King, based on the frequency of each card in the set.
</span>
</span>
If these angles are complementary, their total adds up to 180°.
∠7=115°
∠7+∠2=180°
substituting the known values
115+∠2=180
deduct 115 from both sides
65°=∠2
Final answer=65°
Using the fact that 100% corresponds to 45 sales, and 35% corresponds to X sales:
Set up a proportion:
45 = 100%
x = 35%
This translates to the ratio (45/x) = (100/35).
Solving for x:
x = (45 × 35) / 100 = 15.75, which rounds to 16 sales.
Thus, you require at least 16 additional sales to boost your total by 35%.
