Rearrange variables - math word problems - page 107 of 145
Number of problems found: 2899
- Exercise creation
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w - Independent term
Find the term independent of x in the expansion of (4x³+1/2x)8 - Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges. - Cyclist time
A car traveling at 75 km/h will drive from place A to place B in 3/4 hours. How long does it take for a cyclist to get there at a speed of 25 km/h? - Football Field Width
The football field has an area of 75.75a. What is the width if its length is 101m? - Cyclist meeting Trenčín is 120 km from Bratislava. The average speed of a cyclist traveling from Trenčín towards Bratislava is 20 km/h. Calculate the average speed of the passenger car that left Bratislava compared to the cyclist if the cyclist and the passenger car left
- Drawing Rectangle with Area
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle. - Triangular Prism Volume
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Altitude difference
Between the resorts is 15 km, and the climb is 13 permille. What is the height difference? - Isosceles Right Triangle Perimeter
In an isosceles right triangle, the arms are 50 mm long, and the height at the base is 35.35 mm. Calculate the perimeter of this triangle in millimeters. - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - Large Cube Surface
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase? - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Beet Yield Per Hectare
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²? - Apple crate weight
The crate with apples weighs x kilograms. Empty box y kilograms. How many kilograms of apples are in 20 crates? - Meat loses
Meat loses 18% of its weight by smoking. How much raw meat does the butcher use to manufacture 35 kilos of smoked meat?
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