Equations practice problems - page 36 of 242
Number of problems found: 4827
- Banknote payment count
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there? - Parabola focus equation
Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Triangle interior angles
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha. - Rectangle perimeter ratio
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Bicycle price half
The bicycles were sold for ½ the original price, that is for 5,600 CZK. How much did it cost originally? - Class boy girl
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class? - Filip Monika meeting
Filip traveled 15 km from Monika's house to his grandmother's village. Monika can visit him. They meet at the point where the bikes arrive. They both left the house at 9:00. At what time did they meet when Philip was walking at a speed of 19 km/h and Moni - Product price reduction
If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product? - Paver square shifts
Seven pavers would pave the square in 15 shifts. After five shifts, two pavers fell ill. How long will it take for the remaining pavers to finish the job? - Triangle perimeter area
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Truck sand transport
It should have taken four trucks 6 hours and 45 minutes to bring the sand to the construction site. After 90 minutes, one car broke down. How long did it take to transport the remaining sand in three trucks? - Sailor food supply
Food for 56 sailors would last 32 days. How long did the food supplies last the expedition if 14 castaways were taken on board after 12 days of sailing? - Logger field clearing
Fifteen loggers would take 12 days to clear a large field. How many days did this work require, if 5 more woodcutters were transferred to them after 4 days of work? - Mason house addition
8 masons build a house in 630 days. How many masons must we add after 150 days to complete the whole house in 320 days? - Grinder workshop production
Five grinders grind 120 products in 12 hours. After 4 hours of work, another 11 grinders were reassigned to the workshop. Will he complete the entire job in 6 hours? - Seamstress order hours
Eight seamstresses sew an order in 85 hours. After 21 hours, 3 seamstresses had to leave for other work. In how many more hours will the order be fulfilled? How many hours did the whole job take? - Circle equation points
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t, - Scout troop increase
Last year, there were 30 more boys than girls in our scout troop. This year, the number of children in the ward increased by 10%, while the number of boys increased by 5% and the number of girls increased by 20%. How many children do we have in the depart - Swimmer pool meeting
The pool is 50m long. The first swimmer swims across it in the 60s and the second in the 40s. Both start at the same time and on the same side. The faster swimmer turns around at the end and swims back. When will he meet the slower swimmer? Swimmers move - Circle point equation
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1].
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