Equations practice problems - page 234 of 251
Number of problems found: 5001
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:8. What is the size of the larger of them? - Crown
Siblings collect 2-crowns and 5-crowns. Together, have 80 coins with a total value of 310 crowns. How many saved two crowns, and how many five crowns? - Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team? - Tourist Jirka
The distance between points A and B is 13.5 km. George went from point A to point B at an unknown speed and for an unknown period. Back to point A, it went slower by 3 km/h, meaning it went 20 minutes more. How long does George take the return journey? - Jan
Jan is 13 years old, and Peter is 21 years old. How many years will their age be in the ratio of 7:9? - Chicken
I threw three chickens for a handful of grains, and I noticed that they ate in a ratio of 8:7:6, and two of them grabbed 156 grains. How many grains have fought that chicken? - Logistics
The Head of the logistics department informed the meeting of the management that the same item is currently not available in sufficient quantity in all three warehouses of the company. We have a total of 135 pieces. It was 37 pieces more in warehouse No 3 - Sprayers
The vineyard can be sprayed first sprayer in 4 hours and with the second in 6 hours. How long would it take if we used sprayers both at once? - Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Angle
A straight line p given by the equation y = (-8)/(3) x (+)76. Calculate the size of the angle in degrees between line p and y-axis. - Classroom
In a class are 44 pupils. Boys are 8 less than girls. How many boys and girls are in the classroom? - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Target
Peter, Martin, and George were a fire in a particular target, with only three fields with values of 12, 18, and 30 points. All boys were firing with the same number of arrows, and all the arrows hit the target, and the results of every two boys differed b - Trousers
Jerry bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jerry's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jerry's high. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Translations
Suppose I am going to translate the book six pages per day. Suppose I translate it four days earlier than if I translated five pages a day. If I translate four pages a day, I translate it for how many days.....? - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Two diggers
There are two diggers. One digger digs a pit 77 hours per second, digging 1.2 times faster. a) how long did digging a pit with a second digger take? b) how long did it take to dig together?
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