Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
Answer:
510
Step-by-step explanation:
divide into chunks. I divided it like how you would draw the equal sign.
for top chunk, 20*8=160
for 2nd chunk, 8*25=200
for the last chunk, 15*10=150
add up 160, 200, and 150
Answer:
y = - x - 6
Step-by-step explanation:
y = mx + b
m = - 1
y = - x + b
(- 4, - 2)
- 2 = - (-4) + b
-2 = 4 + b
b = - 6
y = - x - 6
Answer:
47
Step-by-step explanation:
Hope this helps. Let me know if you have any questions.
Answer:

Step-by-step explanation:
In order to find the equation of this line, we need to note two things.
- A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
- B) We can substitute a point inside an incomplete equation to try and find a missing value.
So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.
- <u>Reciprocal of 7:</u>
- <u>Opposite of </u>
:
So the slope of this line will be
. The y-intercept will change, and we can substitute what we know into the equation
.

Now, we can substitute a point on the graph (14, 8) into this equation to find b.
Now that we know the y-intercept, we can finish off our equation by plugging that in.

Hope this helped!