Rearrange variables - math word problems - page 110 of 147
Number of problems found: 2921
- Rectangle measurements
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle. - Wheel Rotations at Speed
The diameter of the wheel is 56 cm. How many times does it turn in 5 minutes if traveling at 60 km/h? - Wood Mass Doubling Time
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - Pyramid Surface Area
The pyramid has a rectangular base with dimensions a = 5 cm, b = 6 cm. The side edges are identical; their length is h = 11 cm. Calculate the surface of the pyramid. - Natural gas in kWh
Gas consumption for 2017 was 11,301 kWh I paid 532 € How much is 1 m³? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Three Groups Work Shifts
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts? - Cone measurements
Calculate the volume and surface of the rotating cone with the base radius r = 4.6 dm and the height v = 230 mm. - Loan Repayment with Interest
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere - Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical? - Motion of cars
The route from Zlín to Liberec via Olomouc and Hradec Králové measures s = 300 km. a) Mr. Horák set out from Zlín at time tH = 16:00 h with a truck at an average speed of vH = 40 km/h. At time tN = 17:30 h, Mr. Novák set out after him by car with an avera - Washing Machine Discount
The washing machine became cheaper by 43.5 euros, which is 15% of the old price. What is the new price? - Vehicle speed
An accompanying vehicle set off behind the car with an oversized load moving at a speed of 16 km/h in 2.5 hours, which must reach it in 45 minutes. What speed does he have to go? - Washing Powder Duration Andrew found that three-quarters of a bag of washing powder was used up by his family in 12 weeks. How many more weeks will the remaining powder last? How long does a whole bag of washing powder last?
- The sides
The sides of a rectangle are in the ratio 3:5, and its perimeter is 72 cm. Calculate: a) the lengths of both sides of the rectangle, b) the area of the rectangle, c) the length of the diagonals. - The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river? - Sphere equation
Find the equation of a sphere whose centre lies on the line defined by 3x + 2z = 0 and 4x − 5y = 0, and which passes through the points (0, −2, −4) and (2, −1, 1). - Two annuluses
The area of the annular circle formed by two circles with a common center is 100 cm². The radius of the outer circle is equal to twice the radius of the inner circle. Determine the outside circle radius in centimeters. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm². Bases have lengths AB = 6 cm and CD = 4 cm. Calculate the length of the AC diagonal. - Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
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