<h3>
Answer:</h3>
- One solution: (x, y) = (2, 0)
- Infinitely many solutions: 2x -5y = 17
<h3>
Step-by-step explanation:</h3>
1. When you put the second equation in standard form, it is ...
... 5x +3y = 10
This is a different equation than the first one, so there will be one solution where the lines interect. (Adding the two equations gives 10x=20 ⇒ x=2. Since adding or subtracting y gives the same result, y must be zero.)
2. When you put the second equation in standard form, it is the same as the first:
... 2x -5y = 17 . . . . . divide the equation by 3
That is, any (x, y) values that satisfy the first equation will also satisfy the second equation (since they are the same). There are an infinite number of (x, y) values that do so.
Answer:
24
Step-by-step explanation:
Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...
10d +25(57 -d) = 1065
-15d +1425 = 1065 . . . . . . simplify
-15d = -360 . . . . . . . . . . subtract 1425
d = -360/-15 = 24 . . . divide by the coefficient of d
There are 24 dimes in the jar.
Answer:
x = 45
Step-by-step explanation:
Each corner of the square is a right angle measuring 90 degrees.
x + 45 = 90
x = 45
Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.
<h3>What is the union of events J and K?</h3>
It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.
<h3>What is the complement?</h3>
The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:
15 + x = 58
x = 43.
The number of outcomes that are possible for the complement of the union of Events J and K is of 43.
More can be learned about complementary events at brainly.com/question/9752956
After using distributive property and combining like terms the answer is -2
