Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at leas
t 4 of her friends want wings. Sara must spend less than $45.00. Sara graphs a system of inequalities to determine how many servings of each kind of food she could serve to stay within her budget.
According to the dark blue area on the graph, which coordinate pair satisfies the system for the number of wing servings and burgers that Sara can serve?
A) (5, 4)
B) (2, 5)
C) (8, 3)
D) (6, 5)
According to the dark blue area on the graph, which coordinate pair satisfies the system for the number of wing servings and burgers that Sara can serve?
A) (5, 4)
B) (2, 5)
C) (8, 3)
D) (6, 5)
2 answers:
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Using proportions, it is found that it took 15 days for the students to finish the project.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, we have that:
- 100% of the project is done by 5 students in 15 days.
- After the 3 students left, 2 students will have a time of x days to do 100 - (9/15) = 40% of the project.
The compound <em>rule of three</em> is given as follows:
1 project - 5 students - 15 days
0.4 project - 2 students - x days
Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the <em>rule of three</em> is given by:
15/x = 1
x = 15 days.
It took 15 days for the students to finish the project.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
We are given the tangent function .
Firstly we know that, , where
is the sine function and
is the cosine function.
Now, tangent function will be zero when its numerator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
So, tangent function crosses x-axis at , n is the set of integers.
Further, tangent function will be undefined when its denominator is zero.
i.e. when
.
i.e. when
, where n is the set of integers.
Moreover, a zero in the denominator gives vertical asymptotes.
So, tangent function will have vertical asymptotes at , n is the set of integers.
Therefore, these key features gives us the graph of a tangent function as shown below.
