Expression of a variable from the formula + inverse relationship - practice problems
Number of problems found: 53
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - Construction 82214
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Ratios equation
Find the number x so that: 1:x=4:100 - Improvements 70344
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Circumference 69934
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as? - Directly and inversely
If z varies directly as x and inversely as y, and z = 16 when x = 3 and y = 2, find z when x = 5 and y = 3 - The cost 4
The cost to tile a floor that measures 7 x 6 square feet is $ 2,100. How much will tile a floor measuring 11 x 13 square feet cost? - Part-timers 47393
Fifty part-time workers planted 5,200 trees in a forest on a weekend brigade the forest in 9 hours. How many more part-timers do they have to lose next time to plant the same number of trees in eight hours? - Carpenter 36293
The carpenter did the work in 3 2/5 hours. What part of the work did he do in an hour? - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Insert 7
Insert five harmonic means between 3 and 18 - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Coins
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41:9. How much copper and tin are in 2kg of bronze money? - Planting 27201
In the forest, there are 84 workers employed in planting saplings. Working 10 hours a day, they would finish the job in 24 days. After 7 days, 14 workers leave. How long will it take the others to finish planting the saplings if they work 12 hours a day f - Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1. - Kilogram 24921
Dahlia cooks with her mother apple slices. They mixed flour, sugar, and butter in a ratio of 10: 3: 2. How many grams of sugar and butter did they put in half a kilogram of flour? - Remaining 23651
Food for 42 dogs is enough for 35 days. After 15 days, the two dogs adopted new owners. For how many days will the food for the remaining dogs be enough? - Reconstruction 23531
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (contents) of the paddock stays the same. What will be the - The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell two cows and a third of the feed. How long will feed the rest of the peasant's herd last?
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