Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Concept explainers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Topic Video
Question
Transcribed Image Text:### Educational Exercise Questions
#### 76. Calculate the Value of b
If \(\frac{a}{b} = \frac{b}{a}\), \(a^2 = 2a\), and \(ab = 18\), what is the value of \(b\)?
- A. 2
- B. 3
- C. 6
- D. 9
---
#### 77. Find the Fraction
The fraction \(\frac{5}{10}\) is halfway between 0.5 and what fraction?
- A. \(\frac{3}{8}\)
- B. \(\frac{3}{4}\)
- C. \(\frac{7}{8}\)
- D. \(\frac{15}{16}\)
---
#### 78. Graph Interpretation and Calculation
**Graph Legend**: **Earnings**
**X-Axis**: Number of hours worked (ranging from 0 to 10)
**Y-Axis**: Amount earned (ranging from 0 to 250)
The graph shows a straight line indicating the relationship between the number of hours Megan works and the amount she earns.
**Question**: How much does Megan earn per hour?
- A. $10.00
- B. $15.00
- C. $20.00
- D. $25.00
---
#### 79. Race Track Time Calculation
Three students run around the same racetrack at different speeds. Ben runs a lap in 3 minutes, Zoey runs a lap in 4 minutes, and Sarah runs a lap in 6 minutes. If they all start at the same spot, after how many minutes will they all be at the same spot at the same time?
- A. 8 minutes
- B. 12 minutes
- C. 18 minutes
- D. 24 minutes
---
#### 80. Rectangle Perimeter Calculation
The length of a rectangle is twice the sum of its 2 widths. If the area is 36, what is the perimeter?
- A. 18
- B. 24
- C. 30
- D. 36
---
#### 81. Doughnut Production Calculation
During the week, Joe makes three times the number of doughnuts that Bob makes. Bob makes only half as many doughnuts as Jesse makes. If Jesse makes 160 doughnuts,
Transcribed Image Text:### Educational Website Content: Quiz Section
---
**87. Paw Patrol Sticker Book Probability Problem**
A paw patrol sticker book has exactly 64 stickers, containing four characters: Chase, Marshall, Skye, and Rubble. 1/4 of the stickers has multiple characters on them, of which Chase appears on ½. Chase also appears on 12 stickers by himself. What is the probability when choosing a sticker at random that you will pick one without Chase?
- A. 5/16
- B. 9/16
- C. 11/16
- D. 3/4
---
**88. Circle Diameter and Coordinates**
A (5,1) lies on a circle whose center is O (1,5). If AB is a diameter, what are the coordinates of B?
- A. (3,3)
- B. (-1,5)
- C. (-1,10)
- D. (3,9)
---
**89. Algebraic Equation Solution**
If 2x - 1 = 9, what is 10x - 5?
- A. 35
- B. 45
- C. 55
- D. 75
---
**90. Ratio Problem at Hoover High School**
Hoover High School has 840 students, and the ratio of the number of students taking Spanish to the number not taking Spanish is 4:3. How many of the students take Spanish?
- A. 280
- B. 360
- C. 480
- D. 560
---
**91. Stella's Book Collection Probability**
A table titled "Stella’s Book Collection" shows the distribution of different book categories. The table contains:
| Number of books | Book category |
|-----------------|------------------|
| 12 | Mystery |
| 7 | Biography |
| 5 | Science Fiction |
| 4 | Romance |
Stella's bookshelf contains her book collection, as outlined above. Which category of book has exactly 1/4 chance of being picked at random from the shelf?
- A. Mystery
- B. Biography
- C. Science Fiction
- D. Romance
---
**92. Science Students Division at Central High**
If 20% of the science students at Central High study only physics, 25% study only chemistry, and the rest study only biology
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