1. A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per second. 2a. A student makes the following argument: "I can prove a dollar equals a penny. Since a dime (10 cents) is one-tenth of a dollar, I can write 10 c = $0.1 Square both sides of the equation. Since squares of equals are equal, 100 ¢ = $0.01 Since 100 c = $1 and $0.01 = 1¢, it follows that $1 = 1¢" What is wrong with the argument? 2b. If you have 243, 861 c, how much do you have in dollar notation? Show your calculation.
1. A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per second. 2a. A student makes the following argument: "I can prove a dollar equals a penny. Since a dime (10 cents) is one-tenth of a dollar, I can write 10 c = $0.1 Square both sides of the equation. Since squares of equals are equal, 100 ¢ = $0.01 Since 100 c = $1 and $0.01 = 1¢, it follows that $1 = 1¢" What is wrong with the argument? 2b. If you have 243, 861 c, how much do you have in dollar notation? Show your calculation.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you answer each part please
![**Mathematics Word Problems and Puzzles**
**1. Conversion of Mass Loss Rate:**
A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per second.
**2a. Logical Argument Assessment:**
A student makes the following argument: “I can prove a dollar equals a penny. Since a dime (10 cents) is one-tenth of a dollar, I can write:
\[ 10 \, \text{¢} = \$0.1 \]
Square both sides of the equation. Since squares of equals are equal,
\[ 100 \, \text{¢} = \$0.01 \]
Since 100 ¢ = $1 and $0.01 = 1¢, it follows that $1 = 1¢.”
**Question:**
What is wrong with the argument?
**2b. Practical Conversion Exercise:**
If you have 243,861 ¢, how much do you have in dollar notation? Show your calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbc1cd9d-8d4f-40e4-add2-a376f2364edb%2F55c3d3ed-c6f4-4044-957a-37a2c7ae3794%2Fzy9aont.png&w=3840&q=75)
Transcribed Image Text:**Mathematics Word Problems and Puzzles**
**1. Conversion of Mass Loss Rate:**
A person on a diet might lose 2.3 kg per week. Express the mass loss rate in milligrams per second.
**2a. Logical Argument Assessment:**
A student makes the following argument: “I can prove a dollar equals a penny. Since a dime (10 cents) is one-tenth of a dollar, I can write:
\[ 10 \, \text{¢} = \$0.1 \]
Square both sides of the equation. Since squares of equals are equal,
\[ 100 \, \text{¢} = \$0.01 \]
Since 100 ¢ = $1 and $0.01 = 1¢, it follows that $1 = 1¢.”
**Question:**
What is wrong with the argument?
**2b. Practical Conversion Exercise:**
If you have 243,861 ¢, how much do you have in dollar notation? Show your calculation.
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