Rearrange variables - math word problems - page 30 of 147
Number of problems found: 2922
- The scores
The scores of 10 learners in a test arranged in ascending order are 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23, and 24. If the median mark is 20, find (a) value of a. (b) mean - Express value
Given that p = √(mx/t-t² x) Make x the subject If m = 7, p = -3 and t = 4, find the value of x - The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2-6), find the number of terms. - Cube edge volume
The surface of a cube is equal to 294 square meters. Calculate the edge and volume of the cube. - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199 cm³. Calculate the value of x. - A cuboid
A cuboid has a volume of 768 cm3, and the edges marked x are equal in length. Calculate the value of x - LCM of polynomials
Find the lcm of 4x³ + 8x² and 5x² -20 - Cube edge volume
Calculate a cube's surface area and edge if its volume equals 3375 cubic meters. - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone. - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Ratios equation
Find the number x so that: 1:x=4:100 - Axial section
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm². Calculate the radius of the base. - The number 6
The number of pizza slices Gilbert ate is four more than three times the amount of candy bars he ate. He ate ten slices of pizza. How many candy bars did he eat? - 3S pyramid
A vertical regular 3-sided pyramid is given. The side of the base a = 5 cm, and the height is 8 cm. Calculate the volume and area. - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an elevation angle of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find the - Triangle perpendicular lines
Two altitudes of a triangle are perpendicular to each other and measure 27 cm and 36 cm. Calculate the lengths of the sides of the triangle and the length of the third altitude. - Field map scale
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - Cone - bases
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm.
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