Rachel spent $3.89 on a magazine and $4.86 on a smoothie. Find the total amount she spent and describe a situation in which Rach
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Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
The sales and expenditures will be $120 and it will take 12 card boxes.
Step-by-step explanation:
Cost of booth = $48
Expenditure per card box = $6
Let,
x be the number of card boxes.
Total cost as a function of x.
T(x)= 48+6x Eqn 1
Selling price of one card box = $10
Total sales as a function of x, where x is the no. of card boxes
S(x) = 10x Eqn 2
For expenditures and sales to be same
T(x) = S(x)
Dividing both sides by 4
Putting x=12 in both Equations
The sales and expenditures will be $120 and it will take 12 card boxes.
Keywords: function, variable
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