Answer:
8:1
Step-by-step explanation:
Answer:
They both meet after 27 s.
Step-by-step explanation:
Length of track = 400 m
speed of man, v = 8 m/s
speed of woman, v' = 5 m/s
Woman is 50 m ahead of man.
Let the time taken to meet is t.
Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

The time taken is

Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.
<h3>How to find the correlation coefficient of a data-set?</h3>
Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
- The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.
Hence, using a calculator, the correlation coefficient is of -0.9422.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Firstly, to calculate a price you need to change the percentage into a decimal. You do this by dividing it by 100.
45 / 100 = 0.45,
The discount price will be 55% of the original price,
55 / 100 = 0.55,
19 * 0.55 = 10.45,
So the discound price will be $10.45
Hope this helps!
Answer:
1. E = 8h + 0.05s
2. $2,800
3. please check explanations
Step-by-step explanation:
Firstly, we need an expression for what she earns.
The key to answering this is to know that 5% is same as 5/100 = 0.05
So , if her total sales is given as S, the amount she makes as commission would be 0.05s
So the Total earnings given that she works h hours per week and earns $8/h is $8h
So total earnings E = 8h + 0.05s
Now we want to get to total sales given she worked 15 hours last week and earned $260 in total.
What this means is that we have h and E and we want to find s for that week.
What we need to do is to plug the values into the equation we have defined above;
Thus;
260 = 8(15) + 0.05s
260 = 120 + 0.05s
0.05s = 260-120
0.05s = 140
s = 140/0.05
s = $2,800
I think employers offer commission to serve as a form of morale booster which helps to make their employees work better by sustaining their enthusiasm on the job and also augment their salaries
No, I do not think there are potential problems