Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
![\frac{y.2 - y.1}{x.2 - x.1} = m](https://tex.z-dn.net/?f=%5Cfrac%7By.2%20-%20y.1%7D%7Bx.2%20-%20x.1%7D%20%3D%20m)
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x
Answer:
2.4 hours
Step-by-step explanation:
Let total work = X
Rate of work done = X ÷ time
Rate of A = X/4
Rate of B = X/6
If they work together, rate is the sum of their individual rates, i.e.
X/4 + X/6
= (3X + 2X)/12 (taking LCM)
=5X/12
Rate = X/time
5X/12 = X/time
time = X÷(5X/12)
time = X × 12/(5X)
time = 2.4 hours
Shortcut:
Product of individual times/sum of individual times
= (4×6)/(4+6)
=24/10
=2.4 hours
Answer:
24
Step-by-step explanation:
![4\frac{3}{5} -(-3\frac{2}{5})+3](https://tex.z-dn.net/?f=4%5Cfrac%7B3%7D%7B5%7D%20-%28-3%5Cfrac%7B2%7D%7B5%7D%29%2B3)
Negative and another negative makes a positive.
![4\frac{3}{5}+3\frac{2}{5}+3](https://tex.z-dn.net/?f=4%5Cfrac%7B3%7D%7B5%7D%2B3%5Cfrac%7B2%7D%7B5%7D%2B3)
Add the fractions first.
![7\frac{5}{5}+3](https://tex.z-dn.net/?f=7%5Cfrac%7B5%7D%7B5%7D%2B3)
5/5 is equivalent to 1. 7 5/5 becomes 8.
![8+3](https://tex.z-dn.net/?f=8%2B3)
Add the numbers.
![24](https://tex.z-dn.net/?f=24)
I hope this helps!
15.000 ÷ 100
150 = 1%
1650 = 11%
1650 x 16 = 26.400
26.400 + 15.000 = 41.400
So 41.400 is the population number now.
So, the first 10 suits came with a commission of 5%, so for each suit it was:
250*5%
this is
![\frac{250*5}{100} = \frac{25*5}{10} = \frac{25}{2} =12.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B250%2A5%7D%7B100%7D%20%3D%20%5Cfrac%7B25%2A5%7D%7B10%7D%20%3D%20%5Cfrac%7B25%7D%7B2%7D%20%3D12.5)
but this counts for 10 suits, so together his commssion was 10*12.5=125 dollars
and the "extra" 3 suits came with a comittion of 5+3 percent, so 8 percent, which is
![\frac{250*8}{100} = \frac{25*8}{10} = \frac{25*4}{5} =20](https://tex.z-dn.net/?f=%20%5Cfrac%7B250%2A8%7D%7B100%7D%20%3D%20%5Cfrac%7B25%2A8%7D%7B10%7D%20%3D%20%5Cfrac%7B25%2A4%7D%7B5%7D%20%3D20)
for each suit, and 60 in total.
his total comission was 125+60=185 dollars.