Direct proportionality - math word problems - page 32 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Slope RR
A line has a rise of 2 and a run of 11. What is the slope?
- Leveling
Calculate how many we must purchase 25 kg bags of leveling concrete if we level room 19 m² to the "height" 11 mm if consumption is 1.7 kg per square meter and millimeter thickness.
- 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 46 percent less computes than Acer, but its sales are 7.8 times higher than Acer. How many times have Apple computers been more expensive than Acer?
- Divers
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers?
- Simple interest 4
Find the simple interest if 7134 USD at 4.2% for 188 days. Assume a 360-day year.
- Simple interest 3
Find the simple interest if 11928 USD at 2% for 10 weeks.
- Simple interest 2
Find the simple interest if 16050 USD at 4.9% for 9 months.
- Metallurgical enterprise
Metallurgical company daily produces 616 tons of cast iron. How many tons of coke does it burn to melt cast iron when 16 tons of cast consumes 11 tons of coke?
- Accidents
The count of accidents in 1995 caused 8780 women, which is 8.4%. How many men caused the accidents?
- Diplomas
Suzanne helped write out diplomas. Issuance first took 3 minutes, each next 2.3 minutes. How much time will it take to write out n=16 diplomas (including the first) at this pace?
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Car range
Calculate the maximum range of cars, if you can spend 5 euros, the diesel price is 1.6 Eur/l, and car consumption is 5.4 l/100 km.
- Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km?
- Mine
In the mine, at depth 18 m is 12°C, and every 50 m, the temperature increases by 1°C. What is the temperature at a depth of 1615 m?
- Road repair
Road repair took 19 days for 35 workers if they worked 9 hours a day. How many days take to repair the same road 26 workers if they work 10 per day?
- Saving
Gejza save € 1470 to buy a car. Yet it lacks save 45% of the car price. How much is the car?
- Mailbox
Mailbox is opening at regular intervals 4 times a day. The first time is opened at 8:00 and the last at 16:00. Calculate the hours when the mailbox is opened during the day.
- Medicament
Many manufacturers produce the same type of medicament in various packages with different active substance content. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 31.5 Eur. Pack 2: includes 100 tablets of 1200 mg of active substance
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