Isolating a variable in the formula - math word problems - page 121 of 145

Number of problems found: 2883

Letohrad 4396
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes?
Diagonal of square
Calculate the side of a square when its diagonal is 10 cm.
Kilometers 4391
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
Equation: 4386
Solve the power equation: 2.1463 = 0.4179x^0.419
Calculate 4382
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window.
Express 4380
1 / f = 1 / a + 1 / b express b
Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square.
Trapezium 2
The trapezium has an area of 24 square cm. How many different trapeziums can be formed?
Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km.
Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4
Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start?
Traveling 4340
From place A, the cyclist drove at a speed of 24 km/h. They sent a car behind him an hour later, traveling at 60 km/h. When and how far from place A will a cyclist travel?
Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements?
A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c.
Strawberry 4312
Half of the class likes vanilla ice cream, half of the rest like strawberry, and the other six like hazelnut. How many children were there in the class?
Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
Chocolate 4302
How much does whole chocolate cost when 2/3 costs 24 cents?
Capacity 4296
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests.
Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
Circumference 4285
Calculate the circumference of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long.

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