Appearance
question:f Dustin can read 75 pages in an hour and Sam can read 24 pages in an hour, how many more pages does Dustin read than Sam in a 40-minute time frame?
answer:In one hour, Dustin can read 75 pages, so in 40 minutes, he can read 75/60 * 40 = 50 pages. In one hour, Sam can read 24 pages, so in 40 minutes, he can read 24/60 * 40 = 16 pages. Therefore, Dustin reads 50 - 16 = 34 more pages than Sam in a 40-minute time frame. 34 The answer is: 34
question:Bobby received his weekly paycheck today. Although his salary is 450 per week, his actual paycheck is reduced in size because there are some taxes, insurance payments, and fees removed from his pay before his employer writes the check. If the government removes 1/3 in federal taxes and 8% in state taxes, the health insurance removes 50 per week, the life insurance removes x per week, and the city charges him a fee of 10 per week for parking, then what is the final amount left in Bobby's paycheck, In dollars, it is 184. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the amount of money removed from Bobby's paycheck per week for life insurance. Let's break down the information given: Bobby's salary per week: 450 Amount removed for federal taxes: 1/3 * 450 Amount removed for state taxes: 8% * 450 Amount removed for health insurance: 50 Amount removed for life insurance: x Fee charged by the city: 10 Final amount left in Bobby's paycheck: 184 We can set up the equation as follows: Bobby's salary - Amount removed for federal taxes - Amount removed for state taxes - Amount removed for health insurance - Amount removed for life insurance - Fee charged by the city = Final amount left in Bobby's paycheck 450 - (1/3 * 450) - (8% * 450) - 50 - x - 10 = 184 Let's simplify and solve for x: 450 - (1/3 * 450) - (8% * 450) - 50 - x - 10 = 184 450 - (1/3 * 450) - (0.08 * 450) - 50 - x - 10 = 184 450 - (450/3) - (0.08 * 450) - 50 - x - 10 = 184 450 - (450/3) - (0.08 * 450) - 50 - x - 10 = 184 450 - (450/3) - (0.08 * 450) - 50 - x - 10 = 184 450 - 150 - (0.08 * 450) - 50 - x - 10 = 184 450 - 150 - (450 * 0.08) - 50 - x - 10 = 184 450 - 150 - 36 - 50 - x - 10 = 184 204 - x = 184 To solve for x, we subtract 204 from both sides of the equation: 204 - 204 - x = 184 - 204 -x = -20 Finally, we multiply both sides of the equation by -1 to solve for x: x = 20 The value of x is 20. 20 The answer is: 20
question:Round 3967149.1587234 to the nearest integer.
answer:To round to the nearest integer, we look at the digit to the right of the decimal point, which is 1. Since 1 is less than 5, we round down and the nearest integer is boxed{3967149}. The answer is: 3967149
question:Dikembe wants to educate his entire school about the significance of flossing, so he intends to bring sufficient packets of floss for everyone. There are 20 students in his class, and each student requires 1.5 yards of floss. The packets of floss available in the store contain 35 yards each. If Dikembe buys the minimum amount required, how much floss will be left over?
answer:There are 20 students in Dikembe's class, and each student requires 1.5 yards of floss. So, the total amount of floss needed is 20 * 1.5 = 30 yards. The packets of floss available in the store contain 35 yards each. If Dikembe buys the minimum amount required, he will buy 35 yards of floss. Therefore, the amount of floss left over will be 35 - 30 = 5 yards. 5 The answer is: 5