A gas station sells 1400 gallons of gasoline per hour if it charges $2.50 per gallon but only 1000 gallons per hour it charges $
1 answer:
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Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is .
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in ways.
We conclude that there are 70+70=140 required subsets of S.
Answer:
The number of ounce of topping that can be get is 4 .
Step-by-step explanation:
Given as :
The cost of a sundae = $3
The cost for each extra ounce of toppings = $0.50
Let The number of ounce of topping = n
The total spending cost on sundae with n extra topping = $5
Now, According to question
The total spending cost on sundae with n extra topping = The cost of a sundae + The number of ounce of topping × The cost for each extra ounce of toppings
Or , $3 + n × $0.50 = $5
or, 3 + 0.50 n = 5
or , 0.50 n = 5 - 3
or, 0.50 n = 2
∴ n =
I.e n = 4
So, The number of ounce of topping = n = 4
Hence The number of ounce of topping that can be get is 4 . Answer