Equations practice problems - page 32 of 241
Number of problems found: 4806
- Encyclopedias 83005
The seller sells books for 20 euros and encyclopedias for 50 euros. How many books and encyclopedias did he sell if he sold 121 books? He won €8,000 for both types. - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Squirrel 82999
A supply of acorns will last a squirrel for 12 weeks and a squirrel for 18 weeks. They ate acorns together for 4 weeks, then the squirrel left. How long did the squirrel have a supply of acorns? - Centimeters - trapezoid
The area of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Find the height of the trapezoid in centimeters. - Remaining 82995
Children in the school club made a tricolor chain from crepe paper. One-eighth of the chain is red, three-quarters is olive, and the remaining 20 cm is blue. What length of chain did they make? - Perpendicular 82994
The straight line p is given by the formula y = 1/2 x - 1 . The line q is perpendicular to the line p and passes through the point A [1; 5]. Determine the y-coordinate of the point that intersects the line q with the y-axis. - Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Expensive 82986
Mom bought three cakes at the pastry shop. The first cost 72 crowns. The second was a quarter cheaper than the first. The third dessert was a third of the total price of all three desserts. By how many crowns was the third dessert more expensive than the - Radiation shield
Determine what thickness of the shielding material will be required if we reduce the radiation to 3% of the original value if we know that a thickness of 6 mm will reduce the level of the same radiation by 9%. Round up to the whole value in millimeters (t - Classmates - girls
Three classmates, Alena, Barbora, and Cecilie, were supposed to divide a certain amount of money. Alena got A Eur, Barbora got B Eur and Cecilie got C Eur. In the division, A: B=9:7 and B: C=6:13 applied. Alena and Cecilie received €1,450 together. How ma - Together 82970
The first tiler would tile the pool inside in 5 working hours; the second would need 7 working hours for the same job. How long would it take them to tile the pool inside together if the second tiler starts working on the pool 12 minutes later than the fi - Minutes 82967
The tank is filled with one inflow in 30 minutes, the other in 24 minutes. How many minutes will it take if both flows are open simultaneously? - 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?
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