9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.
Answer:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Step-by-step explanation:
Given:
Number of fruits cans = 24
Number of veggies cans = 60
William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.
For this:
We have to find the GCF (greatest common factor) of 24 and 60.
GCF by listing out the factors method.
Factors of 24 : 
Factors of 60 : 
So,
The greatest common factor of 
and 
is 
.
The number of bags William will used for equal distribution =
Now,
We have to distribute the veggies and fruits in equal number of cans to these bags.
Number of fruits cans used in each bag = 
Number of vegetables can used in each bag = 
We can say that:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Put the ratios into fraction form. Since you do not know how many problems, replace it with an unknown number a.k.a. a variable.
10/30 = x/60
Since you can get 30 to 60 by multiplying by 2, multiply everything on the left side by 2.
Then, you get 20/60, which means 20 = x. So, he can complete 20 minutes an hour.
Point-slope form: y - 1= 0.5(x + 7)
Slope-intercept form: y = 0.5x + 4.5
Answer:
The water rises at a rate of 16/(9π) ft/min or approximately 0.566 ft/min.
Step-by-step explanation:
Volume of a cone is:
V = ⅓ π r² h
Using similar triangles, we can relate the radius and height of the water to the radius and height of the tank.
r / h = R / H
r / h = 3 / 12
r = ¼ h
Substitute:
V = ⅓ π (¼ h)² h
V = ¹/₄₈ π h³
Take derivative with respect to time:
dV/dt = ¹/₁₆ π h² dh/dt
Plug in values:
4 = ¹/₁₆ π (6)² dh/dt
dh/dt = 16 / (9π)
dh/dt ≈ 0.566
The water rises at a rate of 16/(9π) ft/min or approximately 0.566 ft/min.
