Jacob's father is 54 years old. His age is 6 years more than three times Jacob's age. Write a math sentence to determine Jacob's age (a), and then solve to determine Jacob's age.

The company's sales department has 36 people who are awarded prizes based on performance. The top 1/4 of the sales team get first prize, the bottom 1/3 get no prize, the remainder get second prize. How many people get second prize?

Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting, how many trees are now growing in the forest?

The probability of playing basketball is 12%, and the probability of playing both basketball and football is 5%. what is the probability of a person playing football, given they play basketball

Y=3x-7 Complete the missing value in the solution to the equation. (1,___)

Two car-rental agencies are competing for business. Mertz charges $35 a day and $0.15 per mile, and Mavis charges $20 a day and $0.45 per mile. a. Write an equation that represents the charges to rent a car at each agency.

Randy is building a rectangular, fenced dog run beside his barn. He has 120m if fencing and plans to use the side of the barn as one side of fenced area. What are the dimensions of a dog run that maximizes the area Randy can enclose

The projection screen in the school auditorium is five times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. what is the perimeter of the screen in the auditorium?

What is the value of 9 in 89,170,326

Suppose that a cyclist began a 364 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 6.5 hr and the car traveled 31.

What is the sigma notation for this arithmetic series : 10+25+40 + ... + 490+505