Real numbers - practice problems - page 5 of 9
Number of problems found: 161
- Equation with abs value
How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers?
- Logarithmic equation
Solve equation: log13(7x + 12) = 0
- Exponential equation
Solve exponential equation (in real numbers): 23x-6=9
- Halfway 82508
Which number is halfway between a quarter of a fifth and a half of a third on the number line?
- Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
- Wire D
Wire length 6 m is bent to form a semicircle circuit (including the diameter). Determine the radius of the semicircle.
- Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
- EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
- Permutations with repetitions
How many times can the input of 1.2.2.3.3.3.4 be permutated into four digits, three digits, and two digits without repetition? Ex: 4 digits = 1223, 2213, 3122, 2313, 4321. . etc 3 digits = 122.212.213.432. . etc 2 digits = 12, 21, 31, 23 I have tried the
- Forestry workers
84 laborers have employed planted trees in the forest. For 9 hour work, a day would end job in 38 days. After 18 days, 6 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 12 hours a day?
- Sequentially pick
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket?
- Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis?
- Unknown 63224
You will find an unknown number on the number line between 428 and the unknown number 290.
- Marlon
Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the picture. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
- Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
- On the number line
What number is exactly in the middle between 9.8 and -2.4 on the number line?
- Numbers 82720
Which number is also distant from the numbers 5.3 and 7.7 on the number line?
- An aquarium
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank?
- Scientific notation
Approximately 7.5x105 gallons of water flow over a waterfall each second. There are 8.6x104 seconds in 1 day. Select the approximate amount of water flowing over the waterfall in 1 day.
- 2x cone
Circular cone height 36 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
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