Inverse relationship - math word problems
- One third power
Which equation justifies why ten to the one-third power equals the cube root of ten?
- Trio ratio
Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
- Temporary workers
Three temporary workers work in the warehouse and unload the goods in 9 hours. In what time would five temporary workers unload the same products?
- Eight masons
Eight masons will plaster a wall with an area of 1440 m2 in 9 days. They work 8 hours a day. How much area will plaster 6 masons in 4 hours?
- Six students
Two pupils painted the class in four hours. How long will it take for six pupils?
5 children collect 4 liters of blueberries in 1.5 hours. a) How many minutes do 3 children take 2 liters of blueberries? b) How many liters of blueberries will be taken by 8 children in 3 hours?
Five friends were together for pizza. Adam divided his pizza into thirds, Boris in quarters, Denis in patina and Luke in sixth. Then Simon also came to them. Each of the five boys gave him one piece, leaving him one whole pizza. In how many equal parts di
Ten painters paint the school in 20 days. How many days do four painters paint the school at the same pace of work?
- Seven workers
Seven workers clear the glade in 22 hours. How many workers would need to be done in 8 hours?
- Assembly parts
Nine machines produce 1,800 parts on nine machines. How many hours will it produce 2 100 parts on seven such machines?
- Cook on gas
The gas cylinder will last for 30 weekends for 2 hours of daily cooking. How many days will we be able to cook on a new cylinder when we cook 3 hours a day?
- The work
The work was to be done by 150 workers. At the beginning of their work, their number reduced by 40, which increased the time of work by 5 and 1/3 of the schedule. How long did work take?
- Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10]
680 liters of water were pumped in 8 minutes. How many liters was spent in 56 minutes?
After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would take a drained out with three equally powerful pumps?
- Hay bags
4 cows eat 16 hay bags in 5 days. How many bags will eat 5 cows in 7 days?
- Five inlets
The tank can be filled with five equally powerful inlets. If the tank is filled by four of these inlets, it takes a total of 30 minutes to fill one-third of the tank. How many minutes does it take to fill an empty tank if it is filled with all five inlets?
- Equation - inverse
Solve for x: 7: x = 14: 1000
- Sugar production
From 1 ton of beet, 150 kg of sugar is produced. To clean 1 ton of sugar 450 kg of lime is consumed. Calculate how many kgs of lime is consumed when processing 1 ton of sugar beet?
I have a box of chocolate - white, milk and dark. The ratio of white to milk with dark is 3: 4. The ratio of white and milk to dark is 17: 4. Calculate what is the ratio between white, milk, dark chocolate.