Find the value of 423 using the identity (x + y) 3 = x3 + 3x2y + 3xy2 + y3

The lucas sequence is the sequence 1, 3, 4, 7, 11, $/ldots$ where the first term is 1, the second term is 3 and each term after that is the sum of the previous two terms.

Today Ian wants to run less than 7/12 mile write a fraction with a denominator of 4 to red present a distance that is less 7/12

Harriet has a square piece of paper she folds it in half to form a rectangle and then folds it in half again the perimeter of the second rectangle is 30cm

After buying school supplies Hazel has $1.79 in change. She bought a notebook for $3.49 and a box of pens for $2.98 how much money did she originally have?

The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 inches more than its width. How wide is Olivia's lunchbox?

A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. How long does it take for the ball to reach it's maximum height?

Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75. a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical. b.

5. Given beverage sales of $5,400 and cost of beverages sold of $900.00, the beverage cost percent is:

Paul Woonan, a self employed accountant, is married and enrolls in a non-group health insurance plan. The plan costs $7,710 per year for the family coverage. What will he pay each month in premiums?

At a movie rental machine the movies rent for $3.00 expect on Tuesday when they rent for $0.49. Approximately what percent of the regular cost