Equations practice problems - page 38 of 236
Number of problems found: 4708
- Calculated 81804
Mr. Hovorka pays a monthly flat rate of CZK 100 plus CZK 0.90 for each started minute of the call for his mobile phone. He calculated that each minute of the call last month cost him CZK 2.15. How many minutes was he on the phone? - Arithmetic 81798
Two arithmetic sequences have the same first term. The nth term of the first sequence is 15, and of the second sequence, 21. The sum of the first n terms of the first sequence is 63, and of the second sequence, 84. Write the sums of the first n terms of b - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Arithmetic 81795 In which arithmetic sequence is S5=S6=60?
- Rectangle's 81776
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm. - Friends 81769
Four guys would finish washing cars at a gas station in 4 hours. After one hour, two more friends come to help them. How long will it take to finish the car wash? - Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le
- Divided 81763
Petr divided the 32 playing cards into two piles. He found that one had three times as many cards as the other. How many cards were in each pile? - Pupils - class
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Find the number of girls. - X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Harvested 81719
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days? - Triangle - perimeter
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Coefficient 81704
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Together 81701
The sisters Pavel and Petra are 29 years old together. Pavla is 3 years younger than Petra. HOW old is Pavle? Thank you very much.
- Advantageous 81698
Mr. Rezek wants to rent an Opel Corsa car for one day. He can choose from two rental tariffs: Tariff 1: Daily flat rate of CZK 1,400. Tariff 2: Daily rental 360 CZK plus 4.50 CZK for each kilometer driven. For what number of kilometers driven is it more f - Conservationists 81665
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Apartment 81654
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part series of books about hockey. Each book in the series costs the same amount. But he only had 80% of the price for the first and second volumes. Grandma paid him the rest for the first and second volumes and 60% of the pric - Customers 81647
A car dealer found that 1/2 of his customers bought French, 1/3 of German, and 1/6 (20) American cars. How many customers did the car dealer have?
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