Algebra - math word problems - page 314 of 353
Number of problems found: 7043
- Circle intersections
How many intersections do circles with radii of 10 cm and 6 cm have if the distance between their centers is 3 cm? - Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed? - Dream market equivalence
At the dream market, she offered the Sphinx to a traveler for four dreams, seven illusions, two naps, and one nightmare. Another has seven dreams, four illusions, four naps, and two nightmares. The Sphinx always measures the same for all travelers. How ma - Transformer voltage
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current - The farmer
A farmer calculated that his fodder supply would last his 20 cows for 60 days. He decided to sell 2 cows and one third of the feed. How long will the remaining feed last for the rest of the herd? - Atmospheric
Air pressure decreases with increasing altitude (at constant temperature) by approximately 1.2% per 100m. At sea level, i.e., a normal atmospheric pressure of approximately 1,000 hPa is assumed. The altitude of Lomnický štít is approximately 2,600 meters. - Painting rooms
If Daniel paints for three hours daily, he completes it in 7.5 days. How many hours a day would he have to work to finish the job 1.5 days earlier? - Original price
By using it, the machine's price fell by 37% to 104,454 euros. What was its original price? - Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and - Sea water
Seawater contains about 6.5% salt. How many dm³ of distilled water must we pour into 21 dm³ of seawater to get water with 1.2% salt? - Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt? - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - Alcohol concentration mixing
In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta - Hydrogen peroxide dilution
I have 1 liter of 9% hydrogen peroxide, making it a 3% solution. How much water do I need to add? - Olympiad Participants Set Problem
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - Alcohol mixing
How many liters of 80% alcohol need to be mixed with 4 liters of 40% alcohol to get 70% alcohol? How many liters of 70% solution do we get? - Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took a bank loan for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - Needs
Hanka needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the saving - Before yesterday
The merchant adds a sale sign in his shop window to the pair of shoes shown in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the - Midpoint 6
For line segment length is given: FM=8a+1, FG=42. Point M is the midpoint of FG. Find unknown a.
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