Equations practice problems - page 166 of 239
Number of problems found: 4770
- Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm? - Forest nursery
In the forest nursery after winter, they found that 1/10 of the stems died out of them. For them, they landed 193 new spruces. How many spruces are in the forest nursery? - Organizers 5064
Eight hundred people came to the concert, a quarter more than the organizers expected. How many people did the organizers expect? - Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle? - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f - VCP equation
Solve the following equation with variations, combinations, and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0 - Tableau pyramid
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the - Performance 5041
Three workers received a reward of €2,850 for their work. They divided them according to their performance so that the first received 20% less than the second and the third received €50 more than the second. How many euros did each person receive? - Expensive 5040
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Services 5038
At the camp, half of the boys went on a trip one day, a third went swimming, and 17 boys had various services. How many boys were there in total at the camp? How many boys were on the trip, and how many were swimming? - Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard? - Individual 5028 Mrs. Bartova is buying apples. The Bohemia variety is CZK 4 more expensive per kilogram than the Golden variety. Mrs. Bartova bought 10 kg of Golden and 15 kg of Bohemia. She paid a total of 360 kc. How many crowns did the individual types of apples cost?
- Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Two-hundred-crown 5025
Mr. Novák has 20 banknotes in his wallet and 6100 crowns. Some banknotes have a value of CZK 200. Some have a value of CZK 500. How many two-hundred-crown bills does Mr. Novák have in his wallet? - Three-room 5021
The house has apartments of three sizes. One-sixth are four-room, and one-third are two-room. There are 160 three-room apartments. How many two-room apartments are there? - Railway Tunnel
The largest tunnel in the Slovak Republic on the Banská Bystrica-Diviaky route measures 4,698 m, which was only 8.7% of the length of the longest railway tunnel at the time in the world, the Seikan in Japan. Calculate the length of this tunnel - Equation with fraction
Solve the equation in quotient form: 6x * (3x-2) / x + 7 = 0 - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Eq1 Solve equation: 4(a-3)=3(2a-5)
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