Equations practice problems - page 28 of 228
Number of problems found: 4560
- Together 82965
An older digger would dig a ditch by himself in 6 hours. A younger digger can handle the same trench in 3 hours. How long would it take them to dig if they worked together?
- Dominika 82882
Dominika and Ninka are in the park. A 48 kg girl sits on the right side of the swing at a distance of 1.9 m from the axis of rotation. Dominika acts on the swing on the left side with a specific force at 2 m from the axis. What force should she exert to k
- Purchased 82877
Mrs. Havelková bought 7 kg of apples and 4 kg of pears for CZK 295. According to the receipt, she found out that 6 kg of apples and 5 kg of pears could be bought at the same cost. Determine the price of 1 kg of purchased apples and 1 kg of purchased pears
- Counterweight 82873
What is the weight of the counterweight of a crane that lifts a 20 t weight? The arm's length is 15 m, and the arm's length with the counterweight is 10 m. Write the answer in tons.
- Supported 82872
An 8-meter-long swing is supported at the center. A 30 kg boy is sitting at one end. How far from the axis of rotation on the other side of the swing must the second boy of mass 40 kg sit?
- Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system?
- Diagonals 82850
How do I find the diagonals of a rhombus if its perimeter is 80dm and one diagonal is 2x larger than the other?
- Extraordinary 82849
To the three editors - Brandon, Lubosh, and Lucy - the publishing house owner wants to divide the extraordinary bonus of 1000 euros so that Lubosh gets twice as much as Lucy and Lucy receives three times as much as Brandon. How many euros will each of the
- Linnaeus 82847
The cook bought 54 desserts for each of the diners and paid 14.35 Euros for them. Creams were 0.30 Euro each, and Linnaeus cakes were 0.25 Euro each. How many creams and how many Linnaeus cakes did she buy?
- Quadruple 82844
I think a number. I reduce its quadruple by 8 and divide the result by 3. I get 100. Which number do I think?
- Cashier 82807
To pay out the amount of CZK 570, the cashier used 15 coins: a few fifty crowns and a few twenty crowns. How did she pay the amount?
- Multiplies 82742
Jana is so many years old this year that if she multiplies her age by seven and adds 9, she gets 100. How old is Jana?
- Branches 82741
The meadow has massive trees, a lake, and tall grass. A seventh of the birds sit in nests in trees. A third swim in the lake and a quarter of the birds sit in nests in the tall grass. Twenty-three birds are sitting on tree branches. How many birds are the
- Difference 82737
Mom divided the strudel among her three sons. First, she cut off 1/3 of the strudel. She split the rest in a ratio of 2:3. The difference between the longest and shortest pieces is 4 cm. Determine the length of the strudel in cm.
- Kilometers 82735
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car?
- Occupied 82715
Fifty pupils were in the camp; they lived in double and triple rooms. They occupied 20 rooms, many of which were two- and three-story. Please proceed.
- Consecutive 82712
The sum of five consecutive even numbers is -10. What are the numbers?
- Observatories A,B
The target C is observed from two artillery observatories, A and B, 296 m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target C from observatory A.
- Direction 82705
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart?
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