Answer:
35 one-dollar bills
18 ten dollar bills
Step-by-step explanation:
We can solve this problem by using logic. First we have to understand that if all the 53 bill were $10 bills, then the combined monetary value would be...
53 x $10 = 530$
Now we start to replace the $10 bills with 1$ and each time we replace 1 bill, the combined monetary value will decrease by...
$10 - $1 = $9
We also know that we need to decrease the combined monetary value all the way to $215, which mean there has to be...
(530 - 215) / 9 = 35 one dollar bills.
And now since we know there are 35 one-dollar bills, that means there has to be...
53 - 35 = 18 ten dollar bills
We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.
We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.
Formula for combination:
Where 
represents the number of objects/people in the set and 
represents the number of objects/people being chosen from the set
There are 23 people in the set and 10 people being chosen from the set
Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get
Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!
~ Padoru
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
brainly.com/question/1463152
Answer:
The answer is 1.65
Step-by-step explanation:
−2.25−(−3.9)
=−2.25−(−3.9)
=−2.25+3.9
=1.65
