If the ratio of the area of a sector to the area of the circle is 3: 5, What is the ratio of the length of the arc in the sector to the circumference of the circle?
if(2x2+3x-5)(x+2)=ax3+bx2+3x+d, then ac-bd=?
|3x - 15| = 18. What is the product of all possible values of x?
The cost of operating a Frisbee company in the first year is $10,000 plus $2 for each Frisbee. Assuming the company sells every Frisbee it makes in the first year for $7, how many Frisbees must the company sell to break even?
The base of a rectangle is three times as long as the height. If the perimeter is 64, what is the area of the rectangle?
The angles of a pentagon are in ratio 9: 10: 12: 14 : 15. What is the sum of measure of the smallest and largest angles?
What is the next turn in the sequence, 4, 9, 6, 11, 8, 13, ......?
A bicycle company makes five styles of bikes in seven different colors. How many different bicycles can the company makes when considering both style and color?
On Tuesday Ray rode his bike 10 miles. On Wednesday he increased Tuesday's distance by 5 miles. On Thursday he decreased Wednesday's distance by 7 miles. On Friday he increased Thursday's distance by 12 miles. How many total miles did Ray ride over the 4-day period?
Frank scored 26 points in a basketball game. All of his points came from either a two-point or three-point basket. If Frank scored at least one three-point basket, what is the maximum number of two-point, baskets that Frank could have scored?
The area of the base of a cylinder is 100πm2. The volume of the cylinder is 900πm2. What is the height of the cylinder?
Bob invested in a stock that increased in value by 17% to 25.74. What was the actual increase in the stock's value ?
There are 10 orange sodas, 15 cream sodas, and 7 cherry sodas in an ice chest, How many sodas must be removed from the ice chest to guarantee that one of each type of soda has been chosen?
How many 5-digit numerals have 9 as the first digit, 3 or 6 as the third digit, and no digit repeated?
What is the height of a right cylinder with radius 5 in and volume 150 π in3?