Solve the following:
Q1 In a class, there are 20 men and 15 women. Find the ratio of the number of men to the number of students in the class. First express the ratio as a fraction reduced to lowest terms. Then re write the ratio using a second method.
Q2.Determine whether each of the ordered pair is a solution of
3x-4y>7:
(0,0), (3,-6), (-2,-5),(-3,4)
Q3. A chemist needs to mix a 40% acid solution with a 70% acid solution to obtain the 12 litters of a 50% acid solution. How many liters of each of the acid solutions must be used?
Q4. Solve the portion: 45/2 = 360/x
Q5. Graph each equation or inequality in the rectangular coordinate system.
a.2x-y =4
b.3x-2y<-6
Q6. Solve each system by the graphing method. If there is no solution or an infinite number of solutions, state so.
a)2x-3y=12
-2x+y=-8
b)3x+2y=6
3x-2y=6
Q7. Solve each system by the substitution method. If there is no solution or an infinite number of solutions, state so.
a) 2x-y=6
x=13-2y
b) 3x+4y=-13
5y-x=-21
Q8.Solve each system by the addition method. If there is no solution or an infinite number of solutions, state so.
3x-4y=1
12x-y=-11
Q9. Health experts agree that cholesterol intake should be limited to 300 mg or less a day. Three ounces of shrimp and 2 ounces of scallops contain 156 mg of cholesterol. Five ounces of shrimp and 3 ounces of scallops contain 45 mg of cholesterol less than the suggested maximum daily intake (300 mg). Determine the cholesterol content of an ounce of each item