Rearrange variables - math word problems - page 121 of 145

Number of problems found: 2890

Ruler case
A cylinder-shaped case is to be made for a ruler with the shape of a prism with a base in the shape of an equilateral triangle with a side length of 3 cm. What must be the smallest inner diameter of the housing? Determine the size to the nearest tenth of
Rhombus and diagonals
The rhombus area is 150 cm², and the ratio of the diagonals is 3:4. Calculate the length of its height.
Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters.
Apples 2
Dried apples contain 15% water. Fresh apples contain 80% water. How many kilograms of apples must we buy to get 3 kg of dried apples?
Fuel economy
How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter of 40 cm and the base of tank length of 1 m when it is filled to 60%, and if the car consumes 15 liters per 100 km?
Family
The son is 3/5 smaller than the mother, who is 99 cm higher than the son. Thus, the mother is 3/5 taller than the son.
Travel speed
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.
Car overtaking
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?
Power equation
Solve the power equation: 2.1463 = 0.4179x^0.419
Window height
Each has a width of 218 cm and an area of 10,900 cm². Calculate the height of the window.
Formula expression
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.
Fraction equation
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?
Car overtaking
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.

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