Isolating a variable in the formula - math word problems - page 49 of 145

Number of problems found: 2890

Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
Simultaneously 41451
Cities A and B are 36 km apart. A pedestrian leaves town A at a speed of 6 km/h to place B. A cyclist leaves town B simultaneously at a speed of 24 km/h to town A. In how many hours and at what distance will they meet? Write the result in minutes.
A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere.
Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste.
The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle.
The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af
Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing?
Surface 40621
The surface of the sphere is 535 m². What is its volume?
Barrel-shaped 40601
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first.
Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an
Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost.
Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11)
Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number.
The quotient 2
The quotient of the quantity k minus 10 and m.
Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4?
The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone.
The volume
The volume of the rotating cone is 376.8cm³. The height of this cone is one dm. Calculate the diameter of the cone base.
Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs.
Graduates 40111
As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates would there be if 30 students graduated with honors?

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