Convert these measurements. a 0.000 023 kg to µg (in standard form correct to 1 decimal place) b 234 800 kg to mg (in standard form correct to two decimal places) c 2.55 x 10 µg to Mg (in standard form) d 0.0098 x 10-3 ug to Mg (in standard form correct to 1 significant figure)

Suppose a student got an 82 on an exam that was worth 25% of the final grade, a 75 on another exam worth 25% of the final grade, and 93 for a homework score worth 10% of the final grade. They only have the final exam left, which is worth 40% of the final grade. What score is needed on the final exam to get a 90 for a final grade?

Jim, Mike,  Bob, and Carlos are taking a road trip. They are taking turns paying for the gas. At the first gas stop, Jim pays $17. At the second stop, Mike pays $10. At the last stop, Carlos buys 19 worth of gas. If they are about sharing expenses, who owes money to who?

3. For this question, a = 100(n1 + n4) where n1 is the first digit of your student number and n4 is the fourth digit of your student number. For Halloween, Ambrosia collected a bag of candy. Ambrosia weighed her bag and found that there were a grams of candy in total. Ambrosia ate half her candy on the first day (the day after Halloween). Her father told her that if she continued to eat it at that rate the candy would only last one more day, so Ambrosia decided that each day she would only eat half of the weight of the candy left in the bag. She hypothesised that this would allow her to eat candy every day and never run out. Ambrosia decided it might be useful to use Mathematics to think about her remaining candy. She assigns t and W such that • t is a variable representing the number of days since Halloween. • W(t) represents the weight (in grams) of the remaining candy at the end of the day t. To understand what would be an appropriate mathematical model for this problem Ambrosia…