Algebra - math word problems - page 229 of 302
Number of problems found: 6040
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =? - When 5
When five is subtracted from both my numerator and denominator, I become 3/4. What fraction am I? - If we
If we increase the unknown number by 4%, we get 780. Determine the unknown number. - Consecutive numbers
The sum of ten consecutive numbers is 105. Determine these numbers (write first and last). - Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line? - Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)? - Speedometer 18693
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled
- Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last? - Situation 6405
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget - Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93. - Drive to NJ
Ed drove to New Jersey at 30mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey? - Inlet minus outlet
Water flows into the tank through two pipes and out of the third pipe spontaneously. Pipe A would fill the tank in 3 hours, pipe B would fill in 4 hours, and pipe C would flow out in 12 hours. If all three pipes open simultaneously, how long will the tank - On the farm
On the farm, 70 heads of cattle were housed with a food supply for 180 days. After 60 days, ten heads of cattle were sold, and for the next 30 days, they sold ten more. How many days is a sufficient supply of feed for the remaining cattle? - Sisters
Sisters Hanka and Vera go mostly to their grandmother by bicycle. Journey took Hanka 30 minutes and Vera 20 minutes. How long will Vera catch up with Hanka when she starts from home five minutes later than Hanka? - Chalet
The children were on a school trip to the mountain. One-third of the journey went by train and continued by bus. When you get off the bus, they remain a third of the distance they traveled by bus. What part of the journey do children go by bus (write as a
- Merchant 6730
A merchant sells a blend of tea. Kilogram for 450 CZK. Another species for 900 CZK. Cheaper for 369 CZK. How much tea must you buy per 5 kg of the mix? - Classification 81133
One of the conditions for classification with grade 2 in geography is to obtain an average of at least 64 points from four tests. The minimum number of points a skater must receive from the fourth test to meet this condition is if she received 59, 67, or - Antelope 40121
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Pedestrian 27061
Behind a pedestrian walking at an average speed of 5 km/h, a cyclist drove from the same place 3 hours later at an average speed of 20 km/h. How long will it take for a cyclist to catch up with a pedestrian? - Installed 5793
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts?
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