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3 years ago

If x / y is an integer, which of the following statements must be true?

1 answer:

5 0

Only E) is true. If I were to arbitrarily pick x = 2.2 and y =1.1, then I could show that A), B), C), and D) to be false, given x/y = 2.2/1.1 = 2 (which is an integer). However for E), if we define x/y = n where n is an integer, then by rearranging terms, we can show x = n*y where n still equals an integer and our original equation is still valid.

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If each angle in a decagon is the same measure, what is that measure? 18° 180° 144° 72°

pishuonlain [190]

Answer:

Each Angle of Decagon = 144 degrees

Step-by-step explanation:

The interior angles of a decagon add up to 1440

If they are of the same measure, then every angle will be equal to:

Each Angle of Decagon = 1440/10

Each Angle of Decagon = 144 degrees

5 0

2 years ago

Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x −

melisa1 [442]

Answer:

C. $g\,\circ \, f (x) =g(f(x))$

Step-by-step explanation:

Let be $f(x) = x-500000$ the excedent on annual sales and $g(x) = 0.2\cdot x$ the bonus factor, to determine the bonus amount a composition of $f(x)$ is $g(x)$ must be done. That is:

$g\,\circ \, f (x) =g(f(x))$

Hence, the right answer is C.

7 0

2 years ago

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D

natima [27]

Answer:

$110

Step-by-step explanation:

The computation is shown below:

Provided that

Number of desk purchased Fund Left $

0 700

1 590

2 480

3 370

4 260

5 150

6 40

Now the Fund decreased while purchasing is

= 5 desks - 2 desks

= 3 desks

i.e

= $480 - $150

= $330

Now the amount of money left for decreased the desk fund is

$= \frac{Fund\ decreased }{number\ of\ desk\ decreased}$

$= \frac{\$330}{3\ desk}$

= $110

3 0

3 years ago

Read 2 more answers

Divide and Round your answer to the nearest hundredth: 32.503/4.9

timurjin [86]

Answer:

6.63

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Joshua Treet had a $400.00 average monthly expenditure for entertainment during the second quarter of the year. He spent $401.50

irga5000 [103]

First, the formula for the average of a data set must be defined. It is calculated by adding all the numbers in the data set and then dividing the sum by the number of data. In this case, the average is set to be equal to $400 with the total number of data being 3, with the September expenditure set as an unknown, x. The equation is then set-up to be: 400 = (401.5 + 250 + x)/3. Thus, Joshua can spend as much as $ 548.5 to be able to have the same average as in his second quarter expenditure.

4 0

2 years ago