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Solution: To find the fraction, we first need to add up all of the awards to find the whole: 3 + 1 = 4. Derek won 3 out of the 4 awards, so the fraction of all the awards that Derek won is 3/4.
Solution: If the gas tank is 1/5 full, then it will need 4/5 × 15 = 12 gallons of gas to fill it. The 12 gallons of gas it takes to fill the tank costs $1.45 × 12 = $17.40.
Answer: 3/4 of an inch
Solution: The learning center is 54 ÷ 41/2 = 12 times the height of the student. So, the learning center for ants should be 12 times the height of the ant. Since 1/16 × 12 = 12/16 and 12/16 reduces to 3/4, the learning center for ants would be 3/4 of an inch tall.
Algebra and Up:
Answer: 24 feet per second straight down
Solution: If we plug all our given values into the equation, we get this:
–16 = x(1/2) – 1/2(32)( 1/2)2
If we simplify that equation, we get this:
–16 = x(1/2) – 4
If we then solve for x, we get –24. The initial velocity of the computer is therefore 24 feet per second straight down.