Answer:
the number of games rented
Step-by-step explanation:
in y=5x + 7
7= membership fee
5x represents the $5 per game times the number of games rented x
<h2>A. $123.51</h2><h2 />
: $24.48 per year + price * 0.85
: $36.83 per year + price * 0.75
Substitute each value into both equations as price.
A:
129.4635
129.4625
B:
98.158
101.84
C:
145.2055
143.3625
D:
155.703
152.615
A is the lowest value where the second value is lower than the first.
.
Given
area of the pillow = 144sq inchs
![No.\text{ of ribbon}=\text{ 4.}\sqrt{144}](https://tex.z-dn.net/?f=No.%5Ctext%7B%20of%20ribbon%7D%3D%5Ctext%7B%204.%7D%5Csqrt%7B144%7D)
Area of square = L X L
![\begin{gathered} Area=L^2 \\ 144=L^2 \\ \\ L=\sqrt{144} \\ \\ L=12m \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Area%3DL%5E2%20%5C%5C%20144%3DL%5E2%20%5C%5C%20%20%5C%5C%20L%3D%5Csqrt%7B144%7D%20%5C%5C%20%20%5C%5C%20L%3D12m%20%5Cend%7Bgathered%7D)
Therefore,
![\begin{gathered} No.\text{ of ribbons = 4}\times12 \\ No.\text{ of ribbons = 48ribbons} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20No.%5Ctext%7B%20of%20ribbons%20%3D%204%7D%5Ctimes12%20%5C%5C%20No.%5Ctext%7B%20of%20ribbons%20%3D%2048ribbons%7D%20%5Cend%7Bgathered%7D)
Therefore, Number of ribbons = 48ribbons
Let's call the amount of quizzes Lauren will take in total as x.
Since the relationship is directly proportional, the ratio between quizzes and weeks should stay the same for different amount of weeks. This statement gives to us the following equation
![\frac{15}{3}=\frac{x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B4%7D)
Solving for x, we have
![\begin{gathered} \frac{15}{3}=\frac{x}{4} \\ 3\times x=15\times4 \\ 3x=60 \\ x=\frac{60}{3} \\ x=20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B4%7D%20%5C%5C%203%5Ctimes%20x%3D15%5Ctimes4%20%5C%5C%203x%3D60%20%5C%5C%20x%3D%5Cfrac%7B60%7D%7B3%7D%20%5C%5C%20x%3D20%20%5Cend%7Bgathered%7D)
After attending 4 weeks of school this quarter, Lauren will take in total 20 quizzes.
The number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Since order is important, we use permutations to answer the question
<h3>What are permutations?</h3>
These are the number of ways, x of arranging n objects. It is given by ⁿPₓ = n(n - 1)(n - 2)(n - 3)...(n - x + 1) = n!/(n - r)!
Since we have five people to be arranged in line, there are 5 people to be arranged in 5 places.
So, there are 5 places for the first person, 4 places for the second person, 3 places for the third person, 2 places for the fourth person and 1 place for the last person.
So, we number of permutations or number of ways of arranging them in line is ⁵P₅ = 5 × 4 × 3 × 2 × 1
= 120 ways
So, the number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Learn more about permutations here:
brainly.com/question/5708836
#SPJ1
Answer:
Price(P) = $200
Maximum charge = 200
Step-by-step explanation:
Given:
Sales = 600 - 3p
Number of customer = 0
Find:
Price(P)
So,
600 - 3p = 0
3p = 600
Price(P) = $200
Revenue = [600 - 3p]p
600p - 3p²
Maximum charge = 200