Equation + direct relationship - practice problems - page 5 of 6
Number of problems found: 107
- Jan
Jan is 13 years and Peter 21 years old. For how many years will their age be in the ratio of 7:9? - Electrics - conductor
The wire is 107 meters long at 0 °C, and at every temperature increase of 1 °C, the length increases by 0.15 mm per 1 m length of wire. Determine a function that represents the wire's overall length as a temperature function. What is the length of the wir - Aircraft
The aircraft has a fuel tank 68 hl of aviation fuel, and flight consumes 3.6 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t - Working time - shortening
The media often speculates about the change (especially to shorten) the working time of the five-day, eight-hour working week to another working model. Calculate how many hours the employee would have to work a day at 3-day work week if he must work the s
- Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88? - Sales vs profit
Apple sells 22 percent less computes than Acer, but its sales are 2.2 times higher than Acer. How many times are Apple computers more expensive than Acer? - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Train and car
The train and the car started at a constant speed journey. When the train travels 87 km, the car travels 97 km. How many km travels the train when the car travels 87 km? - Saving
Gejza save € 1470 to buy a car. Yet it lacks save 45% of the car price. How much is the car?
- Forestry workers
56 laborers have employed planted trees in the forest. For 8 hour work, a day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day? - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses? - Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture? - Bath
In the bath is 30 liters of hot water. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of water to 41 °C. What was the initial temperature of the hot water?
- Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille? - Radians
Convert 324° to radians. Write the result as a multiple of the number π.
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