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jasenka [17]
3 years ago
11

Determine whether quantities vary directly or inversely and find the constant of variation. A mill processes 27 tons of flour in

3 hours. How many tons of flour can the mill process in 8 hours if the rate of production stays the same? Find constant of variation too.
Mathematics
1 answer:
amid [387]3 years ago
4 0
T = kh   where t = tons and h = hours,  k is the constant of variation

This is direct variation.

27 = k*3

 = 27/3 = 9

Equation of variation is  t = 9h

Amount produced in 8 hours  t  = 9*8  = 72 tons Answer
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JulsSmile [24]

Answer:

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7 0
2 years ago
Find the value of n. The diagram is not to scale.
lesya692 [45]

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use symolab

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7 0
3 years ago
Maggie’s brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?
GarryVolchara [31]
X = Maggie's age

y = The brother's age

x + y = 42

y = 3x - 6

Using the substitution property, we can replace y in the first equation with the 3x - 6 in the second equation like so:

x + (3x - 6) = 42

Then solve this equation for x like so:

x + (3x - 6) = 42

x + 3x = 48 (Add 6 to both sides)

4x = 48 (Simplify)

x = 12 (Divide both sides by 4)

This shows that Maggie's is 12 years old. In order to prove this, you must check your work. In order to do this, first plug your answer back into the original equation like so:

x + y = 42

12 + y = 42. (Plug in answer)

y = 30 (Subtract both sides by 12)

This shows that Maggie's brother is 30 years old. The final step to proving this is to plug both of your answers into the second equation to make sure that your answers are within the constraints set by the problem. Do this like so:

y = 3x - 6

30 = 3(12) - 6 (Plug in answers)

30 = 36 - 6 (Simplify)

30 = 30 (Simplify)

Because the equation is balanced, your answers are correct. So, to answer your question, Maggie is 12 years old.


4 0
3 years ago
Phil and his family want to do something fun and memorable on Leap Day. They each come up with an activity: attend a trapeze cla
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D. Yes, it is a fair model because the relative frequencies of all the outcomes are similar.

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
Read 2 more answers
The chemist mixes 3 ML of limestone for every 5 L of water. if she uses 35 L of water how much limestone should she use?
lord [1]
To find the amount of limestone to add, you will set up a proportion of the amount of limestone to the amount of water.

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Water           5 L  x 7    35 L

To solve for x, multiply 3 and 7 to get 21.

The chemist will need 21 milliliters of limestone.
7 0
3 years ago
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