11. smplif 00o) 15, 19 is 6% of what number? 18. what percent of 300 is 450? 19. in a certain company, 74 employees were hired in the last 5 years. if this represents 43% of the current number of employees, then how many current employees does the company have?

15) 316,67

18) 150%

19) 172 employees

Step-by-step explanation:

We apply the rule of three to solve the problem

N------------------100%

X--------------------P

N = amount representing 100 %

X = amount representing % of N

P = percentage of X with respect to N

15)

Known values: X, P

X = amount representing % of N  

X = 19  

P = percentage of 19 with respect to N

P = 6%

Unknown value N=?

N = amount representing 100%  

Solution:

N is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 15: (19 *100%) and it is divided by the value (6%) that is aligned by the arrow with the unknown value:

N = 316.67

18)

Known values: N, X

N = amount representing 100%,  

N = 300

X = amount representing % of N

X = 450

Unknown value: P=?

P = percentage of 450 with respect to 300

Solution:

P is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 18): (450*100%) and it is divided by the value (300), that is aligned by the arrow with the unknown value.

P = 150%

19)

Known values: X, P

X = amount representing % of N

X = 74  

P = percentage of 74 respect N

P = 43%

Unknown value N=?

N = amount representing 100%

Solution:

N is equal to the multiplication of the values known aligned by the arrow as indicates (attached image 19): (74 *100%) and it is divided by the value (43%), that is aligned by the arrow with the unknown value.

N = 172 employees

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

total of apples - take away four

6-4 = 2

answer is 2 apples