<h3>
There are 11 years before both the elections happen in the same year.</h3>
Step-by-step explanation:
The mayor gets selected once in every 4 years.
So, the number of years the mayor elections takes place
= 1, 4 ,8, 12, 16, 20, 24, 28,....
Now, the Treasurer gets selected once in every 6 years.
So, the number of years the Treasurer elections takes place
= 1, 6, 12, 18, 24, 30
Now,as we can see from both statements, the year in which both elections happen are the <u>common factors of 4 and 6.</u>
<u>The first common factor of 4 and 6 is 12. </u>
<u></u>
So,in twelfth year both elections happen in the same year again.
Hence, there are 11 years before the elections happen in the same year.
The answer would be D. Because there was 19 in total and you took a marble out so that makes it 18 then you want the probability of the blue so 4/18 which equals 2/9
Hope this helps
Have a great day/night
Answer:
187
Step-by-step explanation:
We make an equation to find the average of all three games: (139+184+x)/3=170 . x is the value of the third game to get an outcome of at least 170, and when you solve the equation you get 187.
The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
<h3>What is the total cost?</h3>
Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,
He gets 6000 thousand extra after increment. Her annual income is,
Before accepting the position, Janice wants to understand her potential cost of living.
- She estimates that rent will be $1,500 per month. Thus, the
- She will have to take the train to and from work, which will be $3.50 round trip daily.
- Her food cost will be $75 per week.
Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,
Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.
Learn more about the total cost here;
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Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
