Isolating a variable in the formula - math word problems - page 33 of 144
Number of problems found: 2873
- Hectares 68854
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Expression 68814
Write the expression n, which is: (a) Six greater than twice the expression y; b) equal to the square root of the sum of the expression y and the number 3; (c) three times less than four times the expression y. - Intersections 68784
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 the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Grandma 9
Grandma bought 2 kilograms of apples at a crowns per kilogram, 5 kg of potatoes at b crowns per kilogram, and one celery for 12 crowns. She paid with three fifty crowns. o Depending on the quantities a, b, express the amount in crowns that was returned to - Shortening 68624
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 - Corresponding 68604
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. - Centimeters 68084
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume. - Perimeter 67934
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. - Determine 67754
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 - Measuring 67734
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? - Corresponding 67714
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 4cm 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? - Circumference 67334
What is the area and circumference of a diamond whose diagonals are 7 dm, 12dm in length, and 6 dm in height? - Perpendicular 67174
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm
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