Podcast
Questions and Answers
Four scores and five years ago means:
Four scores and five years ago means:
- 85 years (correct)
- 45 years
- 75 years
- 65 years
5 + (2 + 6) = (5 + 2) + 6 and 5 + (2 + 6) = (5 + 2) + 6 demonstrates which property?
5 + (2 + 6) = (5 + 2) + 6 and 5 + (2 + 6) = (5 + 2) + 6 demonstrates which property?
- Associative Property (correct)
- Distributive Property
- Reflexive Property
- Transitive Property
A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. What is the probability of getting a red ball?
A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. What is the probability of getting a red ball?
- 2332
- 415154
- 2552 (correct)
- 1331
A certain number doubled and increased by 10 is 14. What is the number?
A certain number doubled and increased by 10 is 14. What is the number?
A class is composed of 12 girls and 18 boys. The average score of the girls is 89, and the boys' is 84. What is the average score of the whole class?
A class is composed of 12 girls and 18 boys. The average score of the girls is 89, and the boys' is 84. What is the average score of the whole class?
A cube has a volume of 64 cubic meters. What are its dimensions?
A cube has a volume of 64 cubic meters. What are its dimensions?
A meter was cut at the 35-cm mark. What is the ratio of the smaller piece to the larger piece?
A meter was cut at the 35-cm mark. What is the ratio of the smaller piece to the larger piece?
A pair of shoes originally priced at P600 is being sold at a 30% discount. How much will you pay for the shoes?
A pair of shoes originally priced at P600 is being sold at a 30% discount. How much will you pay for the shoes?
A stick 96 cm long is to be divided in the ratio 3:4:5. How long is the longest part?
A stick 96 cm long is to be divided in the ratio 3:4:5. How long is the longest part?
Flashcards
Four scores and five years ago
Four scores and five years ago
Four scores means 4 x 20 years, and five years adds up to 85 years.
Associative Property of Addition
Associative Property of Addition
The Associative Property states that changing the grouping of numbers in an addition or multiplication problem doesn't affect the result. (a + b) + c = a + (b + c)
Probability of Picking a Red Ball
Probability of Picking a Red Ball
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. In this case, there are 6 red balls out of 15 total balls. So, the probability is 6/15 or 2/5.
Solving for 'x'
Solving for 'x'
Let 'x' represent the number. Doubling the number is 2x. Increasing it by 10 gives us 2x + 10. Setting this equal to 14 and solving, we get: 2x + 10 = 14 2x = 4 x = 2
Signup and view all the flashcards
Average Score of the Class
Average Score of the Class
To find the average of a set of numbers, sum all the numbers then divide by the total number of values. The girls have a total score of 12 x 89 = 1068. The boys have a total score of 18 x 84 = 1512. The combined total score is 1068 + 1512 = 2580. The average score of the whole class is 2580 / (12 + 18) = 86.
Signup and view all the flashcards
Cube's Dimensions
Cube's Dimensions
The volume of a cube is calculated by cubing the length of its side. Since the volume is 64 cubic meters, the side length is the cube root of 64, which is 4 meters.
Signup and view all the flashcards
Ratio of Smaller Piece to Larger
Ratio of Smaller Piece to Larger
The meter is cut at the 35 cm mark, leaving 35 cm on one side and 65 cm on the other. The ratio of the smaller piece to the larger piece is 35:65, which simplifies to 7:13.
Signup and view all the flashcards
Price After Discount
Price After Discount
A 30% discount on P600 means you save 0.30 x P600 = P180. Therefore, the final price you pay is P600 - P180 = P420.
Signup and view all the flashcards
Length of the Longest Part
Length of the Longest Part
The ratio 3:4:5 means the stick is divided into 12 parts (3 + 4 + 5). Each part measures 96 cm / 12 = 8 cm. The longest part has 5 parts, so its length is 8 cm x 5 = 40 cm.
Signup and view all the flashcards
Combined Time to Fill Tank
Combined Time to Fill Tank
To find the combined filling rate, we need to find the reciprocal of each pipe's individual time: 1/4 + 1/6 = 5/12. Since the third pipe empties the tank, we subtract its reciprocal: (5/12) - (1/5) = 13/60. The tank can be filled in 60/13 hours (approximately 4.62 hours) when all three pipes are open.
Signup and view all the flashcardsStudy Notes
Math Problems
- Four scores and five years ago: 85 years
- Property demonstrated by 5 + (2+6) = (5+2) + 6 and 5 + (2+6) = 5 + (2+6): Associative Property
- Probability of drawing a red ball: 6⁄15 or 2⁄5
- Number doubled and increased by 10 is 14: 2
- Average score of class (girls and boys): 86
- Cube dimensions (volume 64 cubic meters): 4 meters x 4 meters x 4 meters
- Ratio of smaller to larger piece (meter cut at 35 cm): 7:13
- Discounted price of shoes (originally P600, 30% off): P420
- Length of longest part of stick (divided 3:4:5): 40 cm
- Time to fill tank with all three pipes open (filling, emptying rates given): 4.62 hours
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
