Answer:
Approximately 45,455 total employees.
Step-by-step explanation:
So the company has 13,500 employees in one country. And this represents 29.7% of the company's employees.
In other words:
The left represents the number of employees in one country <em>over</em> the total number.
And the right is the decimal form of 29.7%. Simply move the decimal two places to the left and remove the percent symbol.
So, to solve for the total, multiply both sides by it first. The left side cancels:
Now, divide both sides by 0.297. The right side cancels:
Use a calculator.
So, there is approximately 45,455 total employees.
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
<span>5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
</span>5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Answer:
y = 2/3x +4
Step-by-step explanation:
The y intercept is where the line crosses the y axis
y intercept =4
We can find the slope using two points on the line
(0,4) and (3,6)
m = (y2-y1)/(x2-x1)
= (6-4)/(3-0)
= 2/3
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +4
7 and a half hours
Explanation-
8/5=1.6
12/1.6=7.5
Answer:
<h2>1</h2>
Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1