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
Y = mx + b
M= your slope or rise over run
B = your y-intercept
For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar
The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10
That about sums it all up!
Opposite angle of a quadrilateral add up to 180 degrees.
This means Angle A plus Angle C equal 180.
We can solve for X using that, then solve for Angle B.
2x-7 + x +4 = 180
Simplify:
3x -3 = 180
Add 3 to each side:
3x = 183
Divide both sides by 3:
x = 183 /3
x = 61
Now we know x, replace x with 61 in the equation for Angle B:
Angle B = 2x+3 = 2(61) +3 = 122 +3 = 125 degrees.
<h2>28 units²</h2><h2>____________________</h2>
<u>Step-by-step explanation:</u>
length = 8 units
breadth = 3.5 units
area = length × breadth
= 8 × 3.5
= 28 units²
<h2>____________________</h2><h2>FOLLOW ME</h2>
