Examples of equations for high school - page 30 of 63
Number of problems found: 1255
- Two cities
The car goes from city A to city B at an average speed of 70 km/h and back at an average speed of 50 km/h. If it goes to B and back at an average speed of 60 km/h, the whole ride will take 8 minutes less. What is the distance between cities A and B? - Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Annual pension
Calculate the amount of money generating an annual pension of EUR 1000, payable at the end of the year and for a period of 10 years, which shall be inserted into the bank to account with an annual interest rate of 2% - Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city
- Average 7560
The company of five people has an average age of 46 years. The average age of the first four of them is 43 years. How old is the fifth one? - Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls? - Math test
Obelix filled out a mathematical test in which he answered 25 questions. For every correct answer, he received 5 points. For each wrong answer, he had 3 points deducted. Obelix gained 36% of all points in the test. How many questions did he solve correctl - The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Collecting 7523
The four friends received money for collecting paper as follows: Mirko received a quarter of the entire amount, Robo received a third of the remaining money, and Boris received half of the second remaining money. Peter had 1.50 euros left. How many crowns
- Three-day 7522
Pupils walked a total of 30 km during the three-day trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 6 km more than on the third day. How many km have they traveled each day? - Clogging
How much-distilled water must the pharmacist add to 30g of a 30% hydrogen peroxide solution to obtain a 3% solution for clogging? - Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Three friends
Cuba, Matthew, and their friend Adam found a brigade during their weekend weekends because they wanted to make a joint trip to the Alps that they planned for spring break. Cuba enjoyed the skiing trip very much, so he was not lazy to get up and went to th - Two trains
Through the bridge, long l = 240m, the train passes through the constant speed at time t1 = 21s. A train running along the traffic lights at the edge of the bridge passes the same speed at t2 = 9s. a) What speed v did the train go? b) How long did a train
- Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Shopping vegetables
John and his mother were shopping. My mother bought 2 kg of peaches and 5 kg of potatoes and paid CZK 173. The neighbor bought 3 kg of peaches and 4 kg of potatoes and paid CZK 186. How much did 1 kg of peaches and 1 kg of potatoes cost? - Water current speed.
Two cities along the river are 100 km apart. The powerboat downstream runs for 4 hours, upstream for 10 hours. Determines the river's current speed. - Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus.
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