Find the volume and surface area of a cylinder that has a base radius of 8 in and a height of 10 in. Use A =

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em

allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

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6 0

2 years ago

The U.S based motorcycle manufacturer says that it expects to build 138,000 motorcycles this year, up from 128,000 last year. Fi

MrMuchimi

138,000/ 128,000 = 7.8125% Just divide new value into old value

8 0

3 years ago

Which function family are these 3? thanks..

Julli [10]

Answer:

1) Function; Linear Function (y=x)

2) Function; Exponential Function (y=bˣ)

3) Not a function.

Step-by-step explanation:

So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.

First, also recall what the definition of a function is. A function is a function if and only if an x only has one distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is not a function between the x repeats. So, let's go through the choices:

1)

We have the table as shown. Let's plot the points. See TABLE 1:

First, there are no repeating x-values, so we can be sure that this is indeed a function.

Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.

The parent function of a line is:

$y=x$

So, table 1 is associated with a linear function.

2)

Let's again plot the points. See TABLE 2.

Again, there are no repeating x-values, so this is also a function.

Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.

So, table 2 is associated with an exponential function.

3)

First, notice how all the x-coordinates are repeating. And since they do not equal the same thing, this is not a function.

Table 3 is not a function and so has no corresponding family function.