Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight befo

A. The order in which you define the variables isn't fixed. For the sake of this discussion, let's define them like this:

x = Number of bookshelves
y = Number of tables

B. Due to the total number of items to produce, we have the following inequality based on those variables.

x + y > 25

Additionally, you can create a second inequality concerning your budget for materials.

20x + 45y < 675

Moreover, you should also add that both values must not be negative, since you can't produce negative tables.

C. By analyzing the constraints and solving the system, you will find that the feasible region contains 4 vertices.

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you prefer to round it. 

Answer:

The universal formula applicable for determining the necessary combinations of n ice cream flavors.

For 10 flavors of ice cream

Step-by-step explanation:

Let's denote V = Vanilla, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

For 2 flavors of ice cream:

V, C

{V/V, V/C, C/C}

3 possible combinations

For 3 flavors of ice cream:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

For 4 flavors of ice cream:

V, C, S, P

{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}

10 possible combinations

For 5 flavors of ice cream:

V, C, S, P, B

{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }

15 possible combinations

Thus, we derive a sequence of

3, 6, 10, 15...

This sequence is recognized as the Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this sequence is

Utilizing this formula allows us to predict the number of 2-scoop combinations from 10 flavors.

Consequently, there are 55 varying combinations for a 2-scoop cone when selecting from 10 flavors.

Answer:

Question 13: For age groups y=1 and y=1.3, the response time is 8 microseconds.

Question 14: The club experienced losses between 11.28 and 4.88 years.

Step-by-step explanation:

Question 13:

The equation that gives the response rate R of 8 microseconds can be expressed as

Upon graphing this, we determine the solutions to be

         

We consider only positive values of y applicable in real-life scenarios.

Thus, the response is 8 microseconds solely for the age groups y=1 and y=1.3.

Question 14:

The football club incurs losses when

Or

Graphing this inequality reveals the solutions to be

and

As only positive values for t are relevant in practical situations, we accept the second solution.

Hence, the club faced losses during the years

Answer:

Step-by-step explanation:

105 divided by 5 equals 21

21m=b

Please don't hesitate to reach out with any questions you may have.

Answer:

The initial goal was $25019.154.

Step by step Explanation:

Assuming the original goal is denoted as x.

As stated

Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.

1253% can be expressed as a decimal.

= 12.53

Thus, the equation is rearranged to

12.53 × x = 313490

12.53x = 313490

x = $ 25019.154

This means the initial goal stands at $25019.154.