Define the two friends as person A and person B.
Let x = the sales in a week.
Person A:
$125 per week plus 18% commission on sales.
Earnings in a week on x sales is
125 + 0.18x
Person B:
$85 per week plus 21% commission on sales.
Earnings in a week on x sales is
85 + 0.21x
For the two earnings to be equal,
85 + 0.21x = 125 + 0.18x
0.03x = 40
x = 40/0.03 = $1333.33
Answer: $1,333.33
Is the average<span> of the numbers: a calculated "central" value of a set of numbers. To calculate: Just add up all the numbers, then divide by how many numbers there are.</span>
Sara's score in the sixth test is 98.
<h3>HOW TO CALCULATE TOTAL FROM MEAN?</h3>
The mean of a set of data can be calculated by dividing the total sum by the number of data given.
According to this question, Sara is said to have a mean score of 62 in 5 tests and another mean score of 68 in 6 tests.
- First total score = 62 × 5 = 310
- Second total score = 68 × 6 = 408
Therefore, Sara's score in the sixth test can be calculated by subtracting 310 from 408 to give 98.
Learn more about mean at: brainly.com/question/521501
When we look at this thing for the first time, it looks like it's going to be a dog of a bear to solve, because 'q' is buried inside a squared term and a cubed term.
But this is why it's so important to learn that in math, you DON't immediately ignite your hair and go running around in circles as soon as you see the problem. The first thing you have to do <u>every</u> time is sit still, look at the problem, breathe air, and switch your brain into the 'ON' position.
Look at that big ugly fraction in the equation. Can it be simplified ? You betcha it can ! The quantity (q+r) is a factor of the numerator and denominator, so we can do some canceling.
Divide the top and the bottom of the fraction by (q+r)², and then the problem says . . .
<em>p = (q+r)/12 + 4r</em>
which is MUCH easier to unravel and solve for 'q' . Let's do this !
p = (q+r)/12 + 4r
Subtract (q+r)/12 from each side . . . p - (q+r)/12 = 4r
Subtract 'p' from each side . . . -(q+r)/12 = 4r - p
Multiply each side by -1 . . . (q+r)/12 = p - 4r
Multiply each side by 12 . . . (q+r) = 12p - 48r
Subtract 'r' from each side . . . <em>q = 12p - 49r</em>
