Math Problems Quiz

Four scores means 4 x 20 years, and five years adds up to 85 years.

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)

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.

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

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.

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.

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.

A 30% discount on P600 means you save 0.30 x P600 = P180. Therefore, the final price you pay is P600 - P180 = P420.

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.

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.