Rearrange variables - math word problems - page 102 of 145
Number of problems found: 2899
- Evaluation of expressions
If a²-3a+1=0, find (i)a²+1/a² (ii) a³+1/a³ - Girls
The boys and girls in the class formed groups without the rest of the five, two girls and three boys. Six girls are missing to create mixed pairs (1 boy and one girl). How many girls are in the classroom? - Expression with powers If x-1/x=5, find the value of x4+1/x4
- Cable Car Path Length
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106m. Calculate the path's length. - Water level
The water tank is cuboid with a square base (the edge of the base is 3.2 m long) and 3 m high. It holds 25,600 liters of water. What is the distance of the water level from the upper base? - Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go? - Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Three painters
The three painters have painted bridges. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together? - Algebraic Expression Expansion
Edit expression: (a-2) * (a-b + 5) - Rhombus
The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height. - Fertilizer Dilution Ratio Water
The fertilizer bottle says: When applying during vegetation, the fertilizer must be diluted with water in a ratio of 1:5 favor of water. Mom poured a pint bottle of fertilizer into the bucket. How many liters of water should flow in? - Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - Paul earned Paul earned 300 CZK in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked. How much percent less did Paul an hour than Václav? How many hours did Paul more than Václav? How much did Paul earn more than V
- Chord distance
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Geometric Sequence Adding Number
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Square division
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters). - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Consecutive Numbers Product Difference
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers.
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