Isolating a variable in the formula - math word problems - page 119 of 145

Number of problems found: 2883

Coach
The average age of 24 players and a coach of one team is 24 years. The average age of players without a coach is 23 years. How old is the coach?
Workers
Nine workers dig a canal 120 meters long for eight hours. For how long would digging five workers' canals be 200 meters long?
Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane.
Midpoints
Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is the long perimeter of parallelogram KBLM?
Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree?
Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm.
Circumference 4532
The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, and the circumference of the BCGF wall is 12.4 cm. Calculate the block's area and volume.
Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) The perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm.
Rectangle 4523
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl?
Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
Perimeter from area
What is the perimeter of the square if its area is 64 cm²?
Harvesters 4498
The first combine harvester will harvest the fields in 12 hours, and the second combine harvester in 8 hours. How long does it take for the same harvester to harvest the 3rd combine if all three harvesters harvest together in 2 hours?
Arithmetic 4495
Insert as many members of the arithmetic sequence between the numbers 8 and 20 that their sum is 196.
Motorcycle's 4492
Find the motorcycle's acceleration, which will cover a distance of 64 meters in 8 seconds if it is at rest at the beginning.
Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm².
Average speed
When the bus stops at a bus stop, the average speed is 45 km/h. It would drive at 54 km/h if it did not stop. How many minutes of every hour does it spend at stops?
Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be?

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