Question
A project coordinator at a banquet hall is given the task of arranging seating for an awards ceremony. The figure above shows the first three possible arrangements of tables and the maximum number of seats in each arrangement. If the number of seats in each successive arrangement is increased by 6 over the preceding arrangement, which of the following represents the maximum number of seats around n tables?
- 6n
- 2(3n + 1)
- 6(n + 1)
- 6(n + 3)
The correct answer is: 6(n + 1)
If one table is there, then 6 + 2 = 8 people can sit
If two tables are there, then 62 + 2 = 14 people can sit.
If three tables are there, then 63 + 2 = 20 people can sit.
If n tables are there, then 6n + 2 people can sit.
6n + 2 = 2 (3n + 1)
Related Questions to study
If , what is 2x in the terms of a?
If , what is 2x in the terms of a?
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours during the 24-hour time period? (Note: 1,013 mb = 760 mm Hg)
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours during the 24-hour time period? (Note: 1,013 mb = 760 mm Hg)
Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?
A collection of more than one inequality in one or more variables is known as a system of inequalities. Systems of inequalities are helpful when a problem's potential solutions are subject to several constraints, and a variety of potential solutions are required.
¶An infinite number of ordered pair solutions for inequality in the set, each specified by a region in a rectangular coordinate plane. When two inequalities are considered, the collection of simultaneously ordered pair solutions is defined by the intersection of these sets.
¶Systems of inequalities can be solved slightly differently than systems of linear equations because the substitution and elimination methods are not applied. Only the limitations of the inequality signs, ≤, and ≥, are responsible for this.
Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?
A collection of more than one inequality in one or more variables is known as a system of inequalities. Systems of inequalities are helpful when a problem's potential solutions are subject to several constraints, and a variety of potential solutions are required.
¶An infinite number of ordered pair solutions for inequality in the set, each specified by a region in a rectangular coordinate plane. When two inequalities are considered, the collection of simultaneously ordered pair solutions is defined by the intersection of these sets.
¶Systems of inequalities can be solved slightly differently than systems of linear equations because the substitution and elimination methods are not applied. Only the limitations of the inequality signs, ≤, and ≥, are responsible for this.
Which of the following is closest to the equation of the line of best fit shown?
Which of the following is closest to the equation of the line of best fit shown?
Nutritional Information for 1-Ounce Servings of Seeds and Nuts
Seed or nut |
Calories |
Total fat (grams) |
Protein (grams) |
Pecan |
198 |
20.2 |
3.0 |
Pistachio |
80 |
6.5 |
3.0 |
Pumpkin |
159 |
13.9 |
8.5 |
Sunflower |
166 |
14.6 |
5.9 |
Walnut |
185 |
18.5 |
4.3 |
(1 pound = 16 ounces)
Nutritional Information for 1-Ounce Servings of Seeds and Nuts
Seed or nut |
Calories |
Total fat (grams) |
Protein (grams) |
Pecan |
198 |
20.2 |
3.0 |
Pistachio |
80 |
6.5 |
3.0 |
Pumpkin |
159 |
13.9 |
8.5 |
Sunflower |
166 |
14.6 |
5.9 |
Walnut |
185 |
18.5 |
4.3 |
(1 pound = 16 ounces)
Nutritional Information for 1-Ounce Servings of Seeds and Nuts
Seed or nut |
Calories |
Total fat (grams) |
Protein (grams) |
Pecan |
198 |
20.2 |
3.0 |
Pistachio |
80 |
6.5 |
3.0 |
Pumpkin |
159 |
13.9 |
8.5 |
Sunflower |
166 |
14.6 |
5.9 |
Walnut |
185 |
18.5 |
4.3 |
Nutritional Information for 1-Ounce Servings of Seeds and Nuts
Seed or nut |
Calories |
Total fat (grams) |
Protein (grams) |
Pecan |
198 |
20.2 |
3.0 |
Pistachio |
80 |
6.5 |
3.0 |
Pumpkin |
159 |
13.9 |
8.5 |
Sunflower |
166 |
14.6 |
5.9 |
Walnut |
185 |
18.5 |
4.3 |
Which of the following values of x is a solution to the equation above?
Which of the following values of x is a solution to the equation above?
x |
1 |
2 |
3 |
4 |
5 |
y |
x |
1 |
2 |
3 |
4 |
5 |
y |