Isolating a variable in the formula - math word problems - page 102 of 144
Number of problems found: 2877
- Calculate 6414
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence.
- Identical 6406
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters).
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm.
- Consecutive 6402
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers.
- Solutions, mixtures
How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution?
- Workers
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
- The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof?
- Parallelogram 6385
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm
- Cylinder 6379
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder?
- Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter.
- One-quarter 6369
According to research, one-quarter of pupils will encounter drugs at the end of primary school. Of this number, 40% of pupils try the drug. How many students attend Year 9 if 12 have signed up to use drugs?
- The rainwater
The rainwater container has the shape of a block whose bottom has dimensions of 4.5 m and 3.5 m. It is partially filled with water. What is the level if there is 189 hl of water in it?
- Measuring 6357
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7cm, 8cm, 6cm
- Circumference 6355
The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram?
- Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area.
- Quadrilateral 6353
Given is a regular quadrilateral pyramid with a square figure. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.
- The mayor
The mayor wanted to have the streets of an entire large neighborhood cleaned. The cleaning would take 8 hours with an older type of car, and 6 hours with a newer type. The cars started at once, but to make the cleaning process as quick as possible, an old
- Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes
- Part-timers 6344
Certain work was to be done by 21 workers during an eight-hour workday, due in 12 days. After five days, temporary workers came to their aid. They all worked together for 7 hours a day and finished the job in 6 days. How many part-timers were there?
- Trapezoid - sides
Calculate the unknown side and the area of the ABCD trapezoid if you know: side a = 7.5 side b = 3.6 side d = 4.4 height v = 3.4 circumference o = 19 c =? S =?
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