Sets + equation - practice problems - page 2 of 3
Number of problems found: 41
- Ten pupils
Ten pupils came to the art group. Eight pupils painted with watercolors and nine painted with ink, each painted with ink or watercolors. How many pupils painted water and ink at the same time? - Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Intersection 8295
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Marriage sttus
In our city, 3/5 of the women are married to 2/3 of the men. Find what part of the population is free. - The average
The average of one set of 4 numbers is 35. The average of another set of numbers is 20. The average of the numbers in the two sets is 30. How many numbers are there in the other set? - Languages 7160
Out of 100 students, 30 studied German, 28 studied German, 42 learned French, eight studied German and German, 10 German and German, and 5 German and German. How many students have learned all three languages? - Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv
- Domains of functions
F(x)=x²-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o - Twenty-six 6320
There are 32 students in the class. Twenty-six of them are learning English, 15 are learning German, and four are learning only Russian. How many students are learning English and German? - Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9) - Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, sporty and dramatic 11 pupils. How many pupils attend all thr
- -x-3/3 4027
x + 6/6 -x-3/3 = 3/4 - Infinitely 3489
The solution to the equation 3x = 8x is a / no real number b / x = 8/3 c / x = 3/8 d / x = 0 e / infinitely many solutions - Chamber
In the chamber, light is broken, and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. To have such certainty for the pair of g - Pytagoriade
Two fifth-graders teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Of the 33 students who competed in at least one of the contests, 22 students. Students who competed only in Pytagoriade were twice as many who just competed in t - Lentilka
Lentilka made 31 pancakes. Eight don't fill with anything, 14 pancakes filled with strawberry jam, and 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate four strawberry-cream cheese and all pure strawberry
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