Equations practice problems - page 89 of 237
Number of problems found: 4721
- The difference of AP
Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120. - Between two
There are regular flights between the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. W - Daughter 31783
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Perimeter 31761
Mr. Marek wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Looking 31641
Nine times the number x is seven less than 160. Find the number x you are looking for. - Consecutive 31611
The sum of two consecutive natural numbers, of which the greater is 4x, equals the number 55. Determine the number x. - Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. "How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have?
- Saplings 31521
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - Pedestrian 31511
A pedestrian walked from Tábor to Veselí nad Lužnicí at a speed of 6 km/h. At the same time, a cyclist rode in the opposite direction at a speed of 24 km/h. The distance between the cities is 36 km. How long and far from Tábor will the pedestrian and the - Soldiers 31501
The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Performance 31371
According to the plan, seven pavers were to pave the square in 14 days. After two days of work, another 5 pavers came to help them. How many days from the arrival of the pavers will the work be completed? (tile performance is the same) - General line equations In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin
- Savings 31311
Petr spent a fifth of his savings on a compact disc and 25% on a book on nature. He has 550 CZK left. How many crowns did Petr save? - Kilograms 31301
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed? - Mixture of coffee
They have to prepare a coffee mixture in packing centers, so 1 kg costs 240 CZK. Two types of coffee are in stock at the prices of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the required
- Playing cards
From 32 playing cards containing eight red cards, we choose four cards. What is the probability that just two will be red? - The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two and three months, the father's age will be the su - Tangents to ellipse Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
- Seedlings 30831
Three workers planted 3,555 seedlings a day. The first worked in the standard. The second planted 120 more, and the third 135 seedlings more than the first. How many seedlings did each worker plant?
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