Rearrange variables - math word problems - page 25 of 147
Number of problems found: 2922
- Trapezoid plot area
The right trapezoidal plot has a basic length of 102 m and 86 m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing. - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - Garden sidewalk diagonal
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - Toothpaste cylinder length
Little George wanted to know how much toothpaste was in the tube, so he gradually squeezed it all out and there was a cylinder of toothpaste in the room. Can you guess how long it might have been? Calculate the values: the internal diameter of the paste n - Cylinder volume calculation
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Aquarium volume half
Paul has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium? - Resistor voltage power
Determine the largest voltage on a resistor with a resistance of 150 ohms if the largest permitted electrical power current in the resistor is 2 W. - Triangle middle crossbar
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52 mm and the base height is 48 mm - Train 2
A metro train moved between neighbouring stations as follows: it gradually accelerated and reached a speed of 70 km/h in 10 seconds. It then travelled at this speed for 35 seconds. Finally, it decelerated for 15 seconds until it stopped. Draw the speed-ti - Rectangle - sides
One side of the rectangle is 14 cm long. The perimeter of the rectangle is 32 cm. Calculate the length of the other side of the rectangle. - Number quotient divisor The quotient of two numbers is 22. The divisor is 154. What is the divisor?
- Car speed average
The car traveled the first third of the track with a constant speed of v1, the next two-thirds of the way at a constant speed of v2=72 km/h, and the average speed of v=36 km/h. Find v1. - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Arithmetic mean deviation
Arithmetic mean xA=40 and standard deviation sx=8 were calculated. Determine from which numbers the student calculated the given characteristics: a) 24 and 56 b) 16 and 64 c) 32 and 48 - The quotient 4
The quotient of two numbers is 15/16. If the dividend is 3/8, what is the divisor? A. 6/5 B. 4/5 C. 2/5 D. 1/5 - L Hospital's rule
Use L Hospital's rule to solve (i) Lim x²+5x-14/x²-5x+6 X—>2 (ii)Lim x³+x²-x-1/x²-2x-3 X—>3 - Dream market equivalence
At the dream market, she offered the Sphinx to a traveler for four dreams, seven illusions, two naps, and one nightmare. Another has seven dreams, four illusions, four naps, and two nightmares. The Sphinx always measures the same for all travelers. How ma - Production line failure
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail? - Home is home At 65 km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
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