You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th

# 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>

Addends refer to the numbers being summed in an equation. 

Their arrangement only matters if parentheses are utilized to modify the usual Order of Operations. 

For example:
2 - (8 + 3)  in this case, 8 and 3 must be grouped first before tackling the subtraction.

Any addition scenario without parentheses can similarly function where the grouping is irrelevant.

The cake board’s circumference measures 35π cm. Initially, noting the cake's diameter of 30 cm, the board's diameter is established as an additional 5 cm, leading to circumference determination by applying the formula, yielding 35π cm.

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

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Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

<pif we="" multiply="" the="" edge="" length="" by="" new="" volume="" equals="" and="" surface="" area="" equates="" to="" so="" area-to-volume="" ratio="" becomes...="">

The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

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Answer: The least amount spent amounts to £12.92 Step-by-step explanation: Given Number of Cartons = 38 A carton costs 45 pence 4 cartons cost £1.56 In order to minimize expenses, one must opt for the cheaper choice. Since there are 100 pence in £1, this means that £1.36 is equivalent to x pence, where x * 1 = 1.36 * 100, leading to x = 136 pence for four cartons. To find the cost of a single carton, divide x by 4; thus, x/4 = 136p/4, resulting in x/4 = 34 pence. This indicates that a carton of juice can be purchased at 34 pence and 45 pence, with 34 pence being the better deal. Therefore, the total expenditure equals 34 * 38, which converts to 1292p and subsequently to £12.92.