X and y are gonna be the variables you will solve when you do it by substitution. x=3 and y=11
This is a permutation problem in which you are to arrange the objects and the order doesn't matter. You can easily calculate it using your scientific calculator. Just use the formula nPr, where n is the total number of objects taken r at a time.
PAYMENT = 7 letters => 7P5 = 2520
There are 2,520 ways
For butterfly, its quite tricky because there are two letters. Oder does matter here, since no matter which t comes first, that is still the same. So, this is what you do:
BUTTERFLY = 9 letters
9P5 ÷ 2! => since there are two same letters
15120 ÷ 2 = 7560
There are 7560 ways.
Answer:
See the attached graphic
Step-by-step explanation:
1. Defense cards could be identify with <em>x</em> and offense cards with y.
2. Find the proportion:
<em>For every 4 defense cards (y), he owns 2 offense cards (x)</em>
<em>Offense cards (x) Defense cards (y)</em>
<em> 2 4</em>
<em> 3 6</em>
<em> 4 8</em>
If Chad has 4 offense cards, then he owns 8 Defense cards. Note that the proportional relationship between defense cards and offense cards is 2:1. In a mathematical expression:
3. Graph: See the attached graphic. Where y-axis (vertical) represents the defense cards and x-axis (horisontal) represents the offense cards.
Rgds!
<em />
22 / (9 + 2) =
22 / 11 =
2 <==
Answer:
In the context of the problem, $75,000 represents Carmela's initial salary.
Step-by-step explanation:
Her salary is modeled by the following function:
So
At any time we have a function modeled in this following recursive format:
We have that is the initial value of C.
For this problem, we have that C is Carmela's salary. So is Carmela's initial salary. This means that in the context of the problem, $75,000 represents Carmela's initial salary.