If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Answer(s): D
First calculate the number of letters completed by 30 typists in 20 minutes. Let x = the number of letters typed by 30 typists and set up the proportion typists/letters = 20/48 = 30/x. Cross-multiply to get 20x = 1,440. Divide both sides by 20 and get x = 72. Since 20 minutes is one-third of an hour, multiply 72 × 3 = 216 to get the total letters for one hour.
What is the final balance of a bank account after two years if the starting balance is $1,000 at an annual rate of 5%, using simple interest? Assume no other money was withdrawn or deposited.
This problem can be solved by using the simple interest formula: interest = principal × rate × time. Remember to change the interest rate to a decimal before using it in the formula. I = (1,000) (0.05) (2) = $100. Since $100 was made in interest, the total in the bank account is $1,000 + $100 = $1,100.
Which of the following has the smallest numerical value?
Answer(s): A
Using the rules for exponents, choice a simplifies to 25 and choices b, c, and d simplify to 26 = 64. Choice e becomes 27 × 81, which is obviously much larger than 64.
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?
Let x = the number of liters of the 40% solution. Use the equation 0.40x + 0.20(35) = 0.35 (x + 35) to show the two amounts mixed equal the 35% solution.Solve the equation: 0.40x + 0.20(35) = 0.35(x + 35)Multiply both sides by 100 in order to work with more compatible numbers:40x + 20(35) = 35(x + 35)40x + 700 = 35x + 1,225Subtract 700 on both sides: 40x + 700 – 700 = 35x + 1,225 – 700 Subtract 35x from both sides 40x – 35x = 35x – 35x + 525Divide both sides by 5:5x/5 = 525/5 x = 105 liters of 35% iodine solution
If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?
Answer(s): B
Let x = the part of the floor that can be tiled in 1 hour. Since Steve can tile a floor in 6 hours, he can tile 1/6 of the floor in 1 hour. Since Cheryl can tile the same floor in 4 hours, she can tile 1/4 of the floor in 1 hour. Use the equation 1/6 + 1/4 = 1/x, where 1/x represents the part of the floor they can tile in an hour together. Multiply each term by the LCD = 12x. 12x × 1/6 + 12x × 1/4 = 12x × 1/x. The equation simplifies to 2x + 3x = 12.5x =12. Divide each side by 5 to get x = 12/5 =2.4 hours. Since 0.4 times 60 minutes equals 24 minutes, the final answer is 2 hours 24 minutes.
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question 16 should be b (changing the connector settings on the monitor) pc and monitor were powered on. the lights on the pc are on indicating power. the monitor is showing an error text indicating that it is receiving power too. this is a clear sign of having the wrong input selected on the monitor. thus, the "connector setting" needs to be switched from hdmi to display port on the monitor so it receives the signal from the pc, or the other way around (display port to hdmi).
q 10. ans is d (in the target org: open deployment settings, click edit next to the source org. select allow inbound changes and save
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