14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2
Answer:
b
Step-by-step explanation:
you can tell because it cant be D or C because you cant go right on the y axis and up on the x axis. it cant be A because 5 is the x and 2 is the y. A says that 5 is the y and 2 is the x. so it has to be B.
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Answer:
20,000 pairs of barber scissors.
Step-by-step explanation:
The sales volume <em>V</em> for barber scissors is directly proportional to the size <em>S</em> of the sales force and inversely proportional to the price <em>P</em> of the scissors.
In other words, we can write that:

Where <em>k</em> is the constant of proportionality.
19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, <em>V</em> = 19440 when <em>S</em> = 54 and <em>P</em> = 20. Substitute and determine the value of <em>k: </em>

Hence, our equation is:

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, <em>S</em> = 50 and <em>P</em> = 18:

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.