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Direction: use a pencil to shade the region in the Venn diagram that is described by the set notation formula.




1.) GπS




2.)(Gu s)




3.)S'




4G u s




5.)SπG'

the domain and range of f(x)= 2x+1/x-1


The population (in millons) of a certain country follows the exponential growth model f(t)=14.2e^0^.^0^1^8^t, t years after 1994. Predic the population in the year 2020


Find the value of x for x^2-1=0


Find solution homogeneous system of linear equations if possible

3x1+x2+x3=0

2x1+2x2-4x3=0

2x1-3x2+5x3=0


1. A business' return of investment will be allocated on three business partners; joey, james, and joe in the ratio 3:4:5, respectively. If the total income is P1,200,000, how much will james receive?


2. If dad wants to give P5,000 to his four children in the ratio 1:2:3:4 for their week allowance, how much will each of the four children receive?


3. If the tutorial fee is P600 per hour, how much should you pay for 5 hours?


4. Assuming they work at the same rate, how long will it take for 2 housekeepers to clean an entire house if it takes 4 days for 8 housekeepers to clean it?


5. Carla's birthday party will cost P3920 if she invites 14 guests. If the cost is directly proportional tto the number of invited guests, how much will it cost if she invites 56 guests?


During an experiment in the lab jack a biologist has a 40%miture and a 10% mixture of the nutrient that he got from the pawpaw plant. The lecturer posed the question to jack. How much if each mixture should jack mix to obtain 25cm^3 of a 28% mixture


A. Identify the proportion involved in the problem. Write DP for direct proportion, IP for an indirect proportion, and PP for a partitive proportion. Then solve the problem



1. If it takes 3 men to build a fence in 8 hours, how long will it take 6 men to complete the same job?


2. An amount of P5000 is divided between mina and tina in the ratio 3: 5. How much does each girl get?


3. Rolando is a salesman in a department store. He is paid P75 per hour. How long must he work to earn P600 a day?


4. The ratio of calamansi, dalandan, and pomelo trees in mcdonald's farm is 8:3:2. There are a total of 793 trees in the said farm. How many trees of each kind are there?


5. If P89.96 is equivalent to $2, how much is $12 in pesos?


After volleyball practice your team of 15 players usually eats 36 Krazy Kreme donuts. Using the same ratio, how many donuts should you plan on buying for upcoming tournament which has 40 players? 

Group of answer choices




2/7 of the participants in a spin class at the fitness centre are first time spinners. If there are 4 first time spinners, what is the total number of participants in the class?