Equations practice problems - page 39 of 239
Number of problems found: 4765
- 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?
- In plane 2
A triangle ABC is located in the plane with a right angle at vertex C, for which the following holds: A(1, 2), B(5, 2), C(x, x+1), where x > -1. a) determine the value of x b) determine the coordinates of point M, which is the midpoint of line segment
- Intersection 81611
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides.
- Average 81602
A monthly fee of 60 crowns is paid for the phone and 3 crowns for each call. How many calls did we have when one call cost us an average of 4 crowns and 20 pennies?
- Intersection 81594
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA?
- Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage?
- Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle.
- Discounted 81567
A trip to Egypt was discounted by one-third of the price at the last minute. The discount was 5760 CZK. What was the original price of the tour?
- Students 81563
Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total?
- Necessary 81554
It is necessary to determine the number whose double is reduced by 15 equals the number 5.
- Wreaths 81547
Eva paid €8.4 for three wreaths and five creams. Jana paid €15.6 for 9 wreaths and 7 creams. How many crowns will Jan pay for one wreath and one cream?
- Quadrilateral 81544
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles.
- Children 81526
There are 32 children in the class. If there were three more boys and one less girl, there would be an equal number of girls and boys in the class. How many boys are there in the class?
- Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade?
- Mr. Quick
Mr. Quick needs to drive from Brno to Prague. There is an oversized load on the D1 highway, which leaves Brno at 11:00 p.m. and its speed is 12 km/h. At what time should Mr. Quick set off first to avoid the traffic jam, i.e. to meet at the Humpolec exit a
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