For any integer x,x2-x will always produce an even value
1 answer:
Consider expression First, you can factor it:
Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).
Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.
Thus, is always even.
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Answer:
It would cost <u>15600</u> to provide coffee for the whole year.
Step-by-step explanation:
Given:
If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40
Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.
So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.
<em>1.5 cup of coffee cost </em>
<em>Thus, 1.5 cup cost 0.60.</em>
<em>If, 100 people drink 1.5 cups. </em>
<em>Then, total cost of 100 people drinking 1.5 cups of coffee = </em><em />
<em>As, place is open 5 days a week.</em>
So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:
<em>Hence, the cost of coffee in a week is 300.</em>
<em>In 1 year there are 52 weeks.</em>
Now, to get the cost for the whole year we multiply 52 by 300:
Therefore, it would cost 15600 to provide coffee for the whole year.