Answer:
40320 different ways
Step-by-step explanation:
That problem is a permutation one
We have eight people to occupy one position in a team, without any constraint at all
So
Total number of events = P(8)
P (8) = 8!
P (8) = 8*7*6*5*4*3*2*1
P (8) = 40320 different ways
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
Answer:
300 doors.
Step-by-step explanation:
1.5 minutes for 1 door.
7.5 hours for 300 doors.
7.5 hours = 450 minutes.
By using the concept of profit, it can be calculated that
Profit function = 5.75 x - 1200
What is profit?
If the selling price of an article is more than the cost price of the article, the difference between the selling price and cost price gives the profit
Monthly expense for a pizza parlor C(x) = 1,200 + 6. 75x
Revenue function = 12.5x
Profit function = R(x) - C(x)
= 12.5x - (1200 + 6.75x)
= 12.5 x - 1200 - 6.75x
= 5.75 x - 1200
To learn more about profit, refer to the link-
brainly.com/question/19104371
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Answer:
and 
Step-by-step explanation:
An algebraic expression is a polynomial if and only if the variables involve have positive integral indices or exponents.
The given polynomial is: 
We want to put one of the following polynomials in the blank space to create a fully simplified polynomial written in standard form.
A fully simplified polynomial written in standard form is obtained by writing the simplified polynomial in decreasing order according to degree.
Since the first term of having a degree of 5 and the last term is having a degree of 3.
The polynomial that goes into the blank must have a degree of 4.
This eliminates ,
and
We are now left with and
The required polynomial is therefore 
or
These two polynomials are in standard form and cannot be simplified further.
The correct choices are;
and
