Equation + expression of a variable from the formula - practice problems - page 22 of 41
Number of problems found: 802
- Yellows 7650
Stano got a box of dice. Half of them were brown and blue in color, and the others were red, yellow, and green. There were 12 more reds than yellows, 19 more reds, and 5 more greens than yellows. How many cubes were in the box? - Kilometers 7631
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michal followed him on a bike at a speed of 20 km/h. At what time did Michal Petra run, and how many kilometers did he cover? - Grandfather 7622
My grandfather says, "My son and I are 100 years old, my son and my grandson are 62 years old, and my grandson and I are 80 years old together." How old is your grandfather? - Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal.
- Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ. - 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? - Two friends
Peter can do all his work himself in 6 hours. Martin can do the same work himself in 8 hours. Peter worked first and was then replaced by Martin. The whole work was done in 6.5 hours. Calculate how long Peter worked before being replaced by Martin.
- Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Conservationists 7490
The conservation unit planted clearings on 4/7 (this is a fraction) on Saturday; on Sunday, he had 2,100 trees to grow. How many trees have conservationists planted on both days? - Burdened 7485
The product was taxed at 20% and is sold for CZK 600. How many CZK was the product sold for if the government charged only 10% of taxes? - Marriage sttus
In our city, 3/5 of the women are married to 2/3 of the men. Find what part of the population is free. - Determine 7468
Determine the base if 2.8 per mille is 50.
- Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - 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. - Three pumps
We are filling the pool. The pool would fill the first pump in 12 hours and the second in 15 hours. If all three pumps ran simultaneously, they would fill the pool for 4 hours. How long would the pool fill only with the third pump? - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Differing 7391
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers?
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