Rearrange variables - math word problems - page 34 of 147
Number of problems found: 2922
- Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Length 26
The length of the median of a trapezoid is 10 inches. The median divides the trapezoid into two regions whose areas are in the ratio 3:5. What is the length of the shorter base? - Grandma 9
Grandma bought 2 kilograms of apples at a CZK per kilogram, 5 kg of potatoes at b CZK per kilogram, and one celery for 12 CZK. She paid with three fifty-crown coins. ○ Depending on the values a and b, express in CZK the amount of change Grandma received. - Shirt suit price
The shirt price was reduced by 10% of the original price k. On the other hand, the price of the suit was increased by 5% of the original price p due to the shortening of the legs. Depending on the variables k, and p, express the total cost of the two shir - Paper collection
A class with m pupils agreed that each pupil would collect k kilograms of paper. Before the collection began, one pupil moved away and did not hand over any paper. o In dependence on the quantities k, m express: a) how many kilograms of paper each pupil h - Prism height expression
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres. - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Container volume surface
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume. - Perimeter - width and length
The length of the rectangle is (x + 5y - 2), and its width is (x + 2) smaller than the length. Express the perimeter of the rectangle by variables. - River bank distance
Adam (A) stands on one river bank, and Bedrich (B) stands on the other. To determine their distance, the base AC with a length of 136 m and the angles CAB with a size of 70°21' and ACB with a size of 43°44' were measured on one river bank. What is the dis - Candle edge enlargement
The candle is shaped like a block measuring 3 cm, 4 cm, and 5 cm. If we gradually enlarge one, two, and all three edges twice, how many times is more wax used to make a candle? - Prism height rhombus
The quadrilateral prism has a volume of 720 cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - View angle - river
The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15°. How wide is the river? - Length = 3 width The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4 cm and 300 cubic cm, respectively. What is the length of this cuboid?
- Cube-shaped crates
A shipment of 2560 cubic dm of dried Secret arrived in eight identical cube-shaped crates. What is the height of one crate if it has a square base with an edge length of 8 dm and each crate is filled to the brim? - Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Diamond area perimeter
What is the area and circumference of a diamond whose diagonals are 7 dm, 12 dm in length, and 6 dm in height? - Triangle perpendicular hypotenuse
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93 cm and the perpendicular t = 48 cm - Temperature linear fit
At 2:00 a.m., the temperature was -7 °F. At noon the temperature was 18 °F. What expression represents the increase in temperature?
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