Podcast
Questions and Answers
How many problems did a student answer correctly if they earned a grade of 90% on a math test with 20 problems?
How many problems did a student answer correctly if they earned a grade of 90% on a math test with 20 problems?
- 16 problems
- 15 problems
- 18 problems (correct)
- 20 problems
What is the total amount Mariam paid for clothes worth $95, including a 13% tax?
What is the total amount Mariam paid for clothes worth $95, including a 13% tax?
- $102.35
- $107.35 (correct)
- $110.00
- $115.35
If Ben earns $18,000 a year and 15% is taken out for taxes, how much does he keep?
If Ben earns $18,000 a year and 15% is taken out for taxes, how much does he keep?
- $16,800
- $18,000
- $15,300 (correct)
- $17,000
If a metal bar weighs 22.15 ounces and 93% of the bar is silver, how many ounces of silver are in the bar (rounded to the nearest thousandth)?
If a metal bar weighs 22.15 ounces and 93% of the bar is silver, how many ounces of silver are in the bar (rounded to the nearest thousandth)?
What is the regular price of an electric drill if Hamzah bought it for $37.49 at 75% of the regular price?
What is the regular price of an electric drill if Hamzah bought it for $37.49 at 75% of the regular price?
What is the result of simplifying the expression $\frac{3}{2} + \frac{5}{7}$?
What is the result of simplifying the expression $\frac{3}{2} + \frac{5}{7}$?
If Mary can read 24 pages in 30 minutes, how long will it take her to read a 100-page book?
If Mary can read 24 pages in 30 minutes, how long will it take her to read a 100-page book?
What is the unit rate of the amount earned in dollars for 8 hours of work if $188 is earned?
What is the unit rate of the amount earned in dollars for 8 hours of work if $188 is earned?
What is the length of the shadow cast by a nearby building that is 200 feet tall, given that an 80 ft flagpole casts a 25 ft shadow?
What is the length of the shadow cast by a nearby building that is 200 feet tall, given that an 80 ft flagpole casts a 25 ft shadow?
What is the result of the operation $\frac{11}{2} + \frac{11}{3}$ when simplified?
What is the result of the operation $\frac{11}{2} + \frac{11}{3}$ when simplified?
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Study Notes
Ratios and Rates
- Ratios compare two quantities with the same units.
- Ratios can be written in three ways: a:b, a to b, or a/b
- Ratios are typically expressed in their simplest form.
- Rates compare two quantities with different units.
- Unit rates represent the amount of one quantity per one unit of another quantity.
- Unit rates often feature the word "per."
- Unit price specifically indicates the cost of one unit of an item.
- Example of a ratio: 3 teachers to 48 students, simplified to 3:48
- Example of a unit rate: $229 for 12 hours of work, resulting in a rate of $19.08/hour.
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