Isolating a variable in the formula - math word problems - page 93 of 145

Number of problems found: 2883

Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
Confectionery
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament.
Employed 7292
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory?
Measures 7291
The garden has an area of 1378 m², side and measures 53m. How much does side b measure?
Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters
Grinding 7285
By grinding wheat, we get 86% torment. How much wheat do we need to grind to get 7 tons of wheat flour?
Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm².
Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist?
Simultaneously 7272
The distance from Žilina to Košice is 260 km. From both places, 2 cars started opposite each other simultaneously. A car from Žilina travels at a speed of 58 km/h. The speed of a car from Košice is 72 km/h. In how many hours will these two cars meet?
Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter.
A report
Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked on alone?
Volumes 7252
The block and the cube have the same volumes of 512 cm³, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length?
Calculate 7246
The dice have a volume of 80 cm³. Calculate the edge size in mm.
Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.
Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you.
Calculate 7214
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle.
The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €.
Multiplied 7208
Which fraction number must be multiplied by 40 to get a 6% smaller number?
Motorcyclist
From Trutnov, the motorcyclist started at an average speed of 60km/hour. At 12.30hrs, Peter began driving the passenger car at 80km/hour. How many hours and at what distance will a car catch a motorcycle from Trutnov?

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