Algebra - math word problems - page 258 of 292
Number of problems found: 5833
- Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9?
- Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning?
- Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
- Shoulders 69284
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so
- Entrepreneur 7971
Tatrabanka offers deposits with an annual interest rate of 3.6%. How much EUR must an entrepreneur deposit in Tatrabanka so that at this interest rate, after the end of the year, the bank will credit him with €1,000 interest on the deposit?
- Energy saving
They released three different independent inventions saving 15%, 17%, and 16% energy. Some considered that with the use of these inventions, the total savings would be 15% + 17% + 16% = 48%. Is this true? How much will the percent of energy save all three
- Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
- Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1702. Calculate how many books Ladislav could buy at the price of 30 and 28 euros if he doesn't want to fill the whole home library, and he can buy only 59 books
- Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar
- 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
- Traveling 6067
A car traveling at 75 km/h will drive from place A to place B in 3/4 hours. How long does it take for a cyclist to get there at a speed of 25 km/h?
- Cleaning 3434
During spring cleaning, the removal of scrap iron by truck would take 15 hours. With one tractor, it would take three times as long. In how many hours will the scrap iron be removed if the removal is carried out by a truck and two equally powerful tractor
- Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many
- Insert AP member
Insert arithmetic means between 75 and 180.
- Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag?
- Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices.
- Cashews + beetroots
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi
- Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope ran at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running?
- The deposit
A deposit of € 2,612.5 was placed for one year at an annual rate of 4.5%. After one year, the amount rose to € 2,612.5. Find the initial deposit.
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