If a single card is drawn from a standard 52-card deck, in how many ways could it be a diamond or a face card (a face card is a Jack, Queen, or King) ?

A 30 -inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than four times the length of the first piece. Find the lengths of the pieces.

Give in the equation 8x+1=5, solve for x in identify if it is an extraneous solution

What is 8x+4y=12 7x+3y=1 o

Suppose a fair coin is tossed until a head is obtained, and that this experiment is performed independently a second time. What is the probability that the second experiment requires more tosses than the first experiment?

A number increased by 10 is greater than 50. What numbers satisfy this condition?

In 1 year, how many more hours of sleep does a giant armadillo get than a platypus?

Write 10 3/7 as an improper fraction?

A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder

Which strategy is the most appropriate strategy to solve 5x^2+30x? A. zero product property B. square root property

Suppose that A and B are arbitarary 2*2 matirices. Is the quantity given always equal to (A+B) 2 (a) A2 + 2AB+C2. (b) (B+A) 2 (c) A (A+B) + B (A+B) (d) A2 + AB+AB+C2