Answer:
and

Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies 
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:

Hence, the equations are:
and

Solving for c and h
Make c the subject in 

Substitute 5 - h for c in 



Collect Like Terms


Solve for h


-- approximated
Recall that:



Answer:
%28.57 (14285714286)
Step-by-step explanation:
Divid To get decimal (percent right)
250/350= 0.714285714285714
Subtract from 1 to get decimal (Percent wrong)
1.0 - 0.714285714285714= 0.285714285714286
Move over decimal to placements to the right to convert to percent
%28.5714285714286
Round
%28.57
the way the question is written it looks like it is 134*24 divided by 5 to the 3rd power:
134 *23 = 3082
5^3 = 125
3082 / 125 = 24.656
round answer as needed.
81.4% ≅ 81%. The probability that a customer ordered a hot drink given that he or she ordered a large is 81%.
The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.
Similarly to the previous exercise, P(A∩B) is the probability that a customer order a large hot drink. So, P(A∩B) = 22/100 = 0.22
For P(B), is the probability that a customer order a large drink whether hot or cold. P(B) = 27/100 = 0.27
P(A|B) = 0.22/0.27 = 0.814
multiplying by 100%, we obtain 81.4%