Determine whether these biconditionals are true or false.

a. 2 + 2 = 4 if and only if 1 + 1 = 2.

b. 1 + 1 = 2 if and only if 2 + 3 = 4.

When a machine is adjusted properly, 50% of the items it produces are good and 50% are bad. However, the machine is improperly adjusted 10% of the time; in this case, 25% of the items it makes are good and 75% are bad.

Mr. Antoine use 3/8 of a tank of gas each week to drive to and from work. how many tanks of gas does Mr Antoine use in 8 weeks

2. FUEL A small airplane used 5 gallons of fuel to fly a 2 hour trip. How many gallons were used each hour?

Suppose that ln 3 = p and ln 7=q. Use properties of logarithms to write the logarithm in terms of p and q. ln 21

baker has 3 1/2 bags of flour. each bag holds 5 1/3 pounds of flour. how many pounds of flour does the baker have in all.

Without solving the systems, explain why the following systems must have the same solution. System (a) : 4x-5y=13 System (b) : 8x-10y=26 3x+6y=11 x-11y=2

Ten more than half the number (y) is 54. what number is (y)

Tawny is grocery shopping and needs broccoli and cauliflower for recipe she is making for dinner. Broccoli is $1.05 per pound and cauliflower is $0.76 per pound. She knows she wants to spend exactly $10 on veggies.

The cost of a hamburger is $4.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs: f (n) = 2 + 4.5 (n - 1). Using this rule, he found the cost of 14 hamburgers to be $60.50.

In a scale drawing, a 42-foot tree is drawn 6 inches high. the flag pole next to it is drawn 7-inches high. how tall is the actual flag pole