On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have originally?

Consider the equation log (3x-1) = log2^8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation and state why 3x-1 is equal to

1) Find the 29th term of the arithmetic sequence in which a=13 and d = - 2.5

A bag contains 4 green marbles, 3 blue marbles, and 8 red marbles. What is the probability that you will draw a blue marble when randomly selecting one marble from the bag? a. 1/4 b. 1/5 c. 2/12 d. 1/3

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a 0 bit and a 1 bit are equally likelyb) the probability that a bit is a 1 is 0.

The Smiths and the Johnsons were competing in the final leg of the Amazing Race. In their race to the finish, the Smiths immediately took off on a 165 kilometer path traveling at an average speed of v kilometers per hour.

An expression is written as m-5 (m+3) + 7m. What is the value of the expression when m=x+1?

Cormac is making 29 phone calls each week as part of a fundraiser. Last week, he made 10 phone calls on weekdays. Which equation could be used to find x, the number of phone calls he made last week on weekend days?

Jasmin's dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jasmin's dog can lose an average of 1.5 pounds every week.

A town with an initial population of 2,000 doubling in size every 10 years. Exponential function or no?

20% of the past 60% days how many days did it rain