Exercises Directions: Answer each of the following questions using Substitution, Elimination or Graphical Method. Show your complete solutions. (5 points each)
1. The Mathematics Club of INHS organized a Math Camp to raise fund for the victims of Taal Volcano Eruption. The prices of each ticket for the camp is ₱35 for non-Math Club members and ₱30 for Math Club members. They are able to sell 515 tickets in all and a total fund of ₱16,715. How many tickets of each kind were sold?
2. Lisa sells two brands of Tablet PC, Xpress Tab and YeoboPC. She receives a commission of 12% on brand Xpress Tab and 8% on brand YeoboPC. If she is able to sell two Tablet PC’s, one for each brand, the total cost is ₱42,000 and the amount that she will receive as commission is ₱4,400.
a. What is the cost of each brand of Tablet PCs?
b. How much commission does she receive on brand Xpress Tab? How about on
YeoboPC brand?
c. Suppose you are Lisa and you wish to earn more. Which Tablet PC will you suggest
your customers or clients to buy? Why?
3. Rose is doing her science laboratory experiment. She needs to make 200 milliliters of a 40% solution of sulfuric acid for a lab experiment. The lab has only 25% and 50% solutions in the storeroom. How much should she mix of the 25% and the 50% solutions to make the 40% solution.

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

What is the distance between a and b? round your answer to the nearest tenth. a coordinate plane is shown. point a is located at negative 1, 5, and point b is located at 4, 1. a line segment connects the two points.

Select the correct answer from each drop-down menu the equation of a line is 3/5*+1/3y=1/15