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Michael has 1 kg of kinetic sand that he wants to make party gifts with. He divides the sand into 10 equal bags. How many grams of sand are in each bag
Amanda received 73% on her math test. There were 40 questions. How many questions did Amanda get
correct?
This year, the number of our male research students has increased by 20% and the number of female research students has decreased by 20%. We now have one student more than before. Which of the following could be the number of research students in my class now?
A total of 346 first year students of CMU are currently enrolled in the subject GEC15. If there are 26 more girls than boys. How many girls are there?
The EML Train Company makes five different-sized train cars: a 1-person car, a 2-person car, a 3-person car, a 4-person car, and a 5-person car. These cars can be connected to form trains that hold different numbers of people. The cars have special hitches so that two cars can only be connected if their numbers are consecutive numbers. For example, you can connect a 2-passenger and 3-passenger car, but not a 2-passenger and 4-passenger car.
Part 1
Try to build some trains with the special hitches. You can use only these five types of cars to build trains, and you can use at most one of each type of car in each train. Each train must consist of at least two cars.
- What are all the different numbers of people that the EML Train Company can build trains to hold? Explain how you found this.
- What are the different numbers of people that the EML Train Company can not build trains to hold? Explain how you found this.
Joshua sells pack of biscuits at ₱80 per pack to bus passengers. He gets 10% commission
for each pack sold. Find his commission for a given week if he sold 600 packs?
Given P(x) = x³ +ax² + bx + 26 has no remainder when divided by (x-1) and leaves remainder 32 when divided by (x-3).
(a)Find the values of a and b
(b)Hence, factorize P(x) completely
.0180 +/- .0Z0
