Math Word Problems MCQ Quiz!

Explanation
To find the number of sprinklers needed, we divide the total area of the yard by the area covered by each sprinkler. The area of the yard is 90' x 20' = 1800 sq ft. The area covered by each sprinkler is 6' x 6' = 36 sq ft. Dividing the total area of the yard by the area covered by each sprinkler gives us 1800/36 = 50. Therefore, 50 sprinklers are needed for the 90' x 20' yard.

Explanation
If each of the 65 people invited are bringing 4 guests, then there will be a total of 65*4 = 260 guests. Since each guest will need a chair, you will need to rent 260 chairs. Therefore, the correct answer is 325.

Explanation
If you run at 8 mph and take a 15-minute break every hour, you will be running for 45 minutes each hour. This means that in one hour, you will cover 8 miles. To run 64 miles, it will take you 8 hours since 8 miles per hour multiplied by 8 hours equals 64 miles. Therefore, the correct answer is 8 hours.

Explanation
To find x percent of 55, we need to multiply 55 by x/100. So, 5.5 is x percent of 55 can be represented as 5.5 = 55 * (x/100). Solving this equation, we get x = 10. Now, to find x percent of 10, we need to multiply 10 by x/100. Substituting x = 10, we get 10 * (10/100) = 1. Therefore, 1 is x percent of 10.

Explanation
The given answer "9-Feb" does not seem to be related to the question or the concept of probability. It is likely that the question is incomplete or not readable, making it impossible to generate a valid explanation.

Explanation
The cost for 1 pint of coffee can be calculated by converting the measurement from ounces to pints. Since there are 16 ounces in 1 pint, the cost for 1 pint of coffee would be $16.

Explanation
Each diner eats .75 lbs of steak and the steak costs $1 per .25 lb. Therefore, each diner would be charged $3 for their portion of steak. Since there are 3 diners, the total bill would be $9.

Explanation
During a 30% off sale, the price of the jeans is reduced by 30%. To find the new price, we multiply the original price by (100% - 30%) or 0.7. So, the new price of the jeans would be $80 * 0.7 = $56. Therefore, the correct answer is 56.

Explanation
The corrupt accountant is pocketing $6,000. To find this, we need to calculate 12% of $50,000. 12% of $50,000 is $6,000. Therefore, the corrupt accountant is pocketing $6,000.

Explanation
To calculate the amount of ice cream needed for a party of 300, we need to multiply the number of people by the amount of ice cream per person. Since half a pint is equivalent to 1/8 of a gallon, we can convert the amount per person to gallons by dividing it by 8. Therefore, 300 multiplied by 1/8 equals 37.5 gallons. However, the options provided do not include this exact amount. The closest option is 19 gallons, which is approximately half of the correct answer.

Explanation
The average age can be calculated by adding up the ages of all the people in the group and then dividing by the total number of people. In this case, 1/3 of the group is 8 years old, so there are (30/3) = 10 people who are 8 years old. The remaining (30-10) = 20 people are 26 years old. To find the average age, we multiply the number of people in each age group by their respective ages and then add them together. (10*8) + (20*26) = 80 + 520 = 600. Finally, we divide 600 by the total number of people (30) to get the average age, which is 20.

Explanation
The best estimate for 463 x 598 is 276,000. This can be determined by rounding both numbers to the nearest hundred and then multiplying them together. 463 rounds to 500 and 598 rounds to 600. When multiplied together, 500 x 600 equals 300,000. However, since we rounded the numbers up, the actual product will be slightly less than 300,000. Therefore, the best estimate is 276,000.

Explanation
The surface area of a box can be calculated by finding the sum of the areas of all its sides. In this case, the box has six sides: a top, a bottom, a front, a back, a left side, and a right side. The area of each side can be found by multiplying its length by its width. Therefore, the surface area of the box is (5*3) + (5*3) + (5*6) + (5*6) + (3*6) + (3*6) = 30 + 30 + 30 + 30 + 18 + 18 = 126 square inches.

Explanation
The water level starts at 6 feet and rises 2 inches per hour. In 6 hours, the water level would rise 6 x 2 = 12 inches. Since there are 12 inches in a foot, the water level would rise by 12/12 = 1 foot. Therefore, the water level would be 6 + 1 = 7 feet deep in 6 hours.

Explanation
The jeans are initially on sale for 1/5 off, which means the price is reduced by 1/5 of its original price. After that, there is an additional 40% discount applied to the already reduced price. To calculate the final price, we first find 1/5 of $86.00, which is $17.20. We then subtract this amount from the original price, giving us $68.80. Finally, we find 40% of $68.80, which is $27.52, and subtract this from the previous result to get $41.28.