Constraints are simply the subjects of an objective function.
The inequality that represents the constraint is: 
Represent the number of hats with x, and the number of scarves with y.
From the question, we have:
- He spends 12 hours to knit a hat
- He spends 6 hours to knit a scarf
So, the equation of the total time spent is:
This time spent is not more than 20 hours.
So, the inequality is
Hence, the inequality that represents the constraint is:
Read more about constraints at:
brainly.com/question/24574823
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
rational number
irrational number
irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
rational number
irrational number
rational number
Solving (b): When r/s is irrational is false
Given that:
irrational number
Set r to 0
So:
-- rational
<em>Hence, the statement is false when r is 0</em>
Based on the data recorded by Isabella, it can be concluded the cube is rather fair.
<h3>How many times did Isabella get each number?</h3>
Based on the data, here are the results:
- Getting a 1: 6 times
- Getting a 2: 5 times
- Getting a 3: 7 times
- Getting a 4: 5 times
- Getting a 5: 6 times
- Getting a 6: 7 times
This implies, in total Isabella got the same number between five and seven times. For example, the number 2 was obtained 5 times, but the number 3 was obtained 7 times.
<h3>What can be concluded based on the results?</h3>
Even though Isabella did not get the same number of times each number, the dice is rather fair because by rolling the dice thirty six times you will obtain the same number at least five times.
Moreover, there is not a big difference in the number of times you obtain each number.
Learn more about dice in: brainly.com/question/23637540
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Answer:
3 is the slope
Step-by-step explanation:
24x = 2,2,2,3,x
18y = 2,3,3,y
