Algebra - math word problems - page 233 of 303

Number of problems found: 6048

Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80.
Equation: 4386
Solve the power equation: 2.1463 = 0.4179x^0.419
Equation: 4197
Solve the equation: (4096^x) · 8! = 161280
Determine 3861
Determine the value of f: 0.49^f = 0.7
Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them?
Three-digit integers
How many three-digit natural numbers exist that do not contain zero and are divisible by five?
3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far on the right arm must the 0.7 kg weight be placed for the lever to be in bal
Brian 2
Brian and Jake left their homes 500 miles apart and drove straight toward each other. It took 4 hours for the two to meet if Jake's speed was 15 mph slower than Brian's. What was Brian's speed?
The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many kilometers did he walk in three days?
Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed.
Cyclo trip
Eighth-graders took a full-day trip on a cycling course. They took 1/7 of the route to the first break and added another 3/7 of the route to lunch. They had 18 km left to the finish. How many kilometers was the trip route measured?
Tank 9
The tank with volume V is filled with one pump for three hours and by the second pump for 5 hours. When both pumps run simultaneously, calculate: a) how much of the total volume of the tank is filled in one hour b) for how long is the tank full
Pumps
The first pump flows 16 liters per second into the basin by the second pump 75% of the first and by the third pump half more than the second. How long will it take to fill the basin with all three pumps simultaneously, a volume of 15 m³ (cubic meters)?
Train from Brno
The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at 40 kilometers per hour. In how many hours and how far from cities do trains meet when the distance between cities is 200 kilometers?
Moving
Vojta left the house at three o'clock at 4 km/h and, half an hour later, went from the same place to Filip by bicycle at speed 11 km/h. How long does it take Tilip to catch up with Vojta, and how far from the house?
Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n?
Number ratio
Calculate two positive numbers. Its ratio is 6:18, and difference was 372.
Transferred 81895
The tin body transferred 150,000 J of heat, and its temperature dropped by 10°C. Calculate the mass of the tin body. (c of tin is 0.227 kJ/kg. °C). Enter the resulting weight in grams and round it to two decimal places.
Temperature 80513
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10^-3 1/K.
Directions 70274
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac

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