Algebra - math word problems - page 274 of 303
Number of problems found: 6048
- Approximately 22253
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Concentration 17633
If we mix 4l and 6l of differently concentrated salt solutions, we get a 12% solution. If we use 6l of the first and 4l of the second solution, we get a 13% solution. What is the concentration of each solution? - Weighing 15943
A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g. - Dependence 15181
The pool has 12 flow holes, 3 of which are open. It fills up in 24 hours. Express the dependence of the pool's filling time on the number of open flow holes and construct a graph. - Acid solution
By adding 250 grams of a 96% sulfuric acid solution to its 3% solution, we changed its initial concentration to 25%. How many grams of 3% of the acid were used for dilution? - 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? - The number 5
The number of hours per week the television is turned on is determined for each family in a sample. The mean of the data is 35 hours, and the median is 31.2 hours. Twenty-four families in the sample turned on the television for 20 hours or less for the we - 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 - Adela number
Adela had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - Part-timers 47393
Fifty part-time workers planted 5,200 trees in a forest on a weekend brigade the forest in 9 hours. How many more part-timers do they have to lose next time to plant the same number of trees in eight hours? - Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position? - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill? - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days; the second would take 40% less time. How long will they work together if the second company started working when the first worked for four days? - The painter
For the painter to get the desired color, he must mix green and yellow in a ratio of 4:7. If it has 28 l of green color, how many liters of yellow should he add? How many liters of mixed color does he get? - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia - Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately? - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe - Probability 81117
Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt.
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