Inequalities - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 87
- Cyclist vs car
The cyclist rode out of the city at 18 km/h. One hour 30 minutes behind him started the car and caught up with the cyclist in 50 minutes. How fast was driving the car? Where (what kilometer) from the city car overtook a cyclist? - Grass garden
Mr. Grass would mow the garden for 5 hours, and his son Michael could do it for 7 hours. They agreed to wake up at 5 AM and begin to mow together. Ms. Grass needs to drive into town at 8:30. Michael says that at that time, they're done with work. Is he ri - Dining tables
The dining room has tables with four chairs, six chairs, and eight chairs. How many diners must be at least to occupy all tables (chairs) and diners are more than 50? - Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, leave the 11 trees. How many trees must seed?
- Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Athletes
Athletes are standing in rows of eight. Ivan estimated that there are more than 120, while Peter claimed that there are fewer than 130. Both are right. How many are athletes? - More money
Lenka has €4.8 more than Natalia. Who will have more and how much when Lenka gives Natalia €2.5? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
- Inequation
Solve the inequation: 5k - (7k - 1)≤ 2/5. (5-k)-2 - Circle chord
Determine the circle's radius in which the chord 6 cm away from the center is 12 cm longer than the circle's radius. - Built-up area
John build-up area 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%? - QuizQ
An isosceles triangle has two sides of length 17 dm and 47 dm. How long is a third side? - Triangle
For how many integer values of x can 5, 6, and x be the lengths of the sides of a triangle?
- Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year? - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Triangle P2
Can a triangle have two right angles? - Reciprocal
It is true (prove it) that if a > b > 0: (1)/(a)< (1)/(b)
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m³ of gas a flat monthly fee of 12.5 € From what monthly coDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
