Inequalities - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 83
- 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 athletes are more than 120. 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 5 x 7 = 35 m² with building with a wall thickness 30 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 9%? - QuizQ
An isosceles triangle has two sides of length 7 km and 39 km. 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 6 dm shorter than the hypotenuse and 3 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: $ne - Rates
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 co - 3-bracket 3
Two angles in a triangle are 90° and 60°. Has the triangle at least two equal sides? - 3-bracket 2
Maybe the smallest angle in the triangle is greater than 70°? - 3-bracket
Maybe the largest angle in the triangle is less than 20°?
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