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aleksley
1 month ago
13

The Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A to

ur can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
A) Write a system of inequalities to model this scenario, and graph the system.
B) What is the maximum number of people who could be in the group, and how much would it cost? Justify your answer
C) Suppose that only adults are going to go on the tour. How many can there be? Explain your answer.​
Mathematics
1 answer:
Inessa [12.5K]1 month ago
5 0

Answer:

Well, 1000>(15x+t)+(50x+100t) if there are children aboard.

B. The maximum amount is 19 if one adult is going with 18 children (meal plan excluded). Meanwhile, $1000

C. If solely adults are participating, then a maximum of 8 adults can join if they plan to use the raffle ticket for meals as well. Otherwise, the maximum number would be 10.

I hope this interpretation is accurate.

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The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equati
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Response:

Max = 18\ mins

Min = 12\ mins

Step-by-step explanation:

Information given:

Time = 15\ mins

Variation = 3\ mins

Objective:

Calculate the maximum and minimum values

The max value is found as follows:

Max = Time + Variation

Max = 15\ mins + 3\ mins

Max = 18\ mins

The min value is identified as follows:

Min = Time - Variation

Min = 15\ mins - 3\ mins

Min = 12\ mins

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(x - 12) (x - 4) is the answer

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He dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period
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In the seventh-grade data, the left side appears similar to the right side, unlike in the fifth-grade data. In seventh grade, we can divide the dots into two equal segments, one ranging from 0 to 3 and the other from 4 to 7. The distribution in the first segment is {2, 2, 3, 5}, while the second segment has {5, 3, 3, 1}. These sides mirror each other. When attempting a comparable division in the fifth-grade data, we find one segment from 1 to 4 with a distribution of {2, 3, 1, 4}, and another from 5 to 8 with a distribution of {5, 5, 2, 2}. In this case, the left side does not reflect the right side, indicating a lack of symmetry.
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Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran c
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Detailed explanation:

Information provided:

Tran possesses a credit card that allows up to $2000 in spending with an APR of 12%.

In the initial month, Tran incurred charges of $450 and settled $150 within that billing period.

The formula to determine the interest that will accrue for Tran in the first month is (0.012)(300)

Here, 0.01 signifies the monthly interest rate.

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2 months ago
Consider the area shown below. The height of the triangle is 8 and the length of its base is 3. We have used the notation Dh for
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Answer:

\text{Riemann sum }=\sum \frac{3}{8}(8-h)Dh

\text{Area =}\int_{a}^{b} \frac{3}{8}(8-h)Dh

Step-by-step explanation:

Given that the triangle's height measures 8 and the base length is 3, we can apply the concept of similar triangles to represent the base of the smaller triangle in relation to h.

The height of the smaller triangle will be (8-h).

Denote x as the base of the smaller triangle. Thus, by utilizing the properties of similar triangles, we can establish ratios of the corresponding sides as illustrated below:

\frac{8-h}{x} =\frac{8}{3} \\x=\frac{3}{8}(8-h)

This allows us to express the area of the small strip with length x and thickness Dh as follows:

DA=x*Dh\\DA=\frac{3}{8}(8-h)Dh

The desired Riemann sum can be articulated as:

\text{Riemann sum }=\sum \frac{3}{8}(8-h)Dh

The necessary areas can be represented as:

\text{Area =}\int_{a}^{b} \frac{3}{8}(8-h)Dh

Your remaining answers are accurate.:)

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