Isolating a variable in the formula - math word problems - page 106 of 145

Number of problems found: 2883

Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes?
The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia
Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30
Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
Numbers 6101
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y?
Lecturers 6099
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.
Traveling 6067
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 6056
The football field has an area of 75.75a. What is the width if its length is 101m?
Simultaneously 6052
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
Circumference 6040
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.
Right-angled 6034
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?
Millimeters 6019
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.

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