algebra

If 10 is subtracted from the opposite of a number, the difference is 5. What is the number?

If \(y = 5 - x\), find x when y = 7.

A ranch has cattle and horses in a ratio of 9:5. If there are 80 more head of cattle than horses, how many animals are on the ranch?

Martin bought 3 pairs of shoes at P240 each pair and 3 pieces of t-shirts at P300 each. How much did he spend?

In a pile of logs, each layer contains one more log than the layer above and the top contains just one log. If there are 105 logs in the pile, how many layers are there?

If \(f(x) = 10^x + 1\), then \(f(x + 1) - f(x)\) is equal to

In how many different orders may 5 persons be seated in a row?

In how many ways can a person choose 1 or more of 4 electrical appliances?

A man rows upstream and back in 12 hours. If the rate of the current is 1.5 kph and that of the man in still water is 4 kph, what was the time spent downstream?

A freight train starts from Los Angeles and heads for Chicago at 40 mph. Two hours later a passenger train leaves the same station for Chicago traveling at 60 mph. How long will it be before the passenger train overtakes the freight train?

If 9 ounces of cereal will feed 2 adults or 3 children, then 90 ounces of cereal, eaten at the same rate, will feed 8 adults and how many children?

Mary is twice as old as Helen. If 8 is subtracted from Helen’s age and 4 is added to Mary’s age, Mary will then be four times as old as Helen. How old is Helen now?

How many cubic meters is 500 gallons of liquid?

Michael’s age is seven-tenths of Richard’s age. In four years Michael’s age will be eight-elevenths of Richard’s age. How old is Michael?

The first term of a GP is 160 and the common ratio is 3/2. How many consecutive terms must be taken to give a sum of 2,110?

Steve earned 96% on his first math test and 74% on his second test, and his average over 3 tests is 85%. What is his third test score?

Ian can remodel a kitchen in 20 hrs and Jack in 15 hours. If they work together, how many hours will it take to remodel the kitchen?

What is the numerical coefficient of the term containing \(x^3\) in the expansion of \((x + 2)^5\)?

What is 30% of 293?

A man sleeps on Monday, Tuesday, Wednesday, Thursday and Friday for 8, 6, 7, 4 and 5 hours, respectively. Find the number of hours he slept for 5 days.