Tutor profile: Leizl C.
Subject: Linear Algebra
Marqez works at a pizza shop where his hourly wage increases by 10 cents every year. His first year working there, he made $10 per hour. After 4 years of working at the pizza shop, what will his hourly wage be?
To solve this question, we should start by writing out the algebraic formula. We can use the point-slope formula which y = mx + b. We know that the wage goes up by 10 cents every year and that he has worked there for 4 years, and so the mx of the formula will be 0.10(4) representing the slope increase each year. We also know his first-year wage is $10 and so the b part of the formula would be 10 representing the point that is constant. What we want to find is his wage for his 4th year working there, which would be represented by the y in the formula. From this information, we can come up with the equation y = 0.10(4) + 10. We can then solve this by multiplying the 0.10 by 4 and then adding that to 10. We can then find that his hourly wage after 4 years equals to $10.40.
Last night, Meghan ate 5 more gummy worms than Julia. Meghan ate 14 gummy worms in total. How many gummy worms did Julia eat?
To solve this we can first figure out an equation that works for this problem. We know that Meghan ate 14 gummy worms total and we know that Julia ate 5 less than her. We can put this into the equation of 5 + m = 14. In this equation, the 5 represents the 5 more gummy worms that Meghan ate, the m represents the amount that Julia ate, and the 14 represents the amount Meghan ate. We then need to isolate the m to figure out the amount. We can do this by subtracting the 5 from each side of the equation to get 5 + m - 5 = 14 - 5. After subtracting from each side, we should end up with m = 9. This shows us that Julia ate 9 gummy worms in total.
Subject: Basic Math
Andre, Daniela, and Alyssa are sharing a whole pizza that is cut into 8 slices. How many slices can each person have without cutting the pizza more? If there is a remainder, how could they cut the remaining slice(s) to share an equal amount between each other?
If they are dividing the slices so that each person gets the same amount, you could solve this by finding 8 divided by 3. We can do this by the method of grouping. Since there are 3 people, we are going to put the slices into 3 groups. We can then put 1 slice into each group until there isn't enough for everyone to have an equal amount. After doing this, we find that each person can have 2 slices of pizza with 2 slices remaining. The next part of this question gets complicated since there are 3 people and only 2 slices of pizza. To find out how to divide the two slices into three pieces, we can solve this by cutting both slices into 3 equal parts. By doing this, there are now 6 pieces to split between the 3 friends. We can then use the same grouping method to divide 6 by 3. The three groups would end up having 2 pieces in each group so each person would get 2 smaller pieces.
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