Equations practice problems - page 67 of 239
Number of problems found: 4765
- Solve 9
Solve the equation. Check the solution. Start fraction lower t over 6 end fraction = 12 (t)/(6) = 12
- The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms.
- Superstar 62054
Jana, Petra, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jan and Peter combined. How many text messages did all 3 girls send together?
- Allan 2
Allan wants to buy a shirt regularly priced at PHP 265. The shirt Is on sale for 15% of the regular price. Which equation can be used to determine the sale price of the shirt?
- Supported 61914
A person lifts a stone weighing 285 kg with the help of a lever that is supported at a distance of 30 cm from the stone. A person acts on the lever at a distance of 90 cm from the support. How much force does a person have to use to lift a stone?
- Two companies
The two companies did work together for 100 days. The first company would do it in 150 days. How many days would the work take the second company?
- Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match?
- Three-fifths 61434
Eva received money for a brigade. She saved three-fifths of the money, lent one-quarter to her sister, and bought a T-shirt for the remaining 180 CZK. How much CZK did Eva earn on the brigade?
- Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts.
- Plants
The number of germinated plants increased by 50% to 300 from morning to evening. How many plants germinated in the morning?
- Aquaman
Aquaman Kebule shopped at Captain Nemo's fishmonger, where the prices of all goods were listed in whole scales. If Kebule bought 2 crayfish, 3 clams, and 1 pike, he would pay 49 scales. If he bought 5 more crayfish, 11 clams, and 1 pike, he would pay a to
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- How many
How many euros will Mr. Kováč earn if he gives two-fifths of his earnings to repay the loan, one-quarter of his earnings for an apartment and a telephone, and he has 350 euros left for other expenses?
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- Completed 60913
The daughter needs 12 hours to clean up after the painters. The mother could do the same cleaning in 8 hours. How long will it take to clean up after the painters if the mother starts work only after the daughter has completed 2 hours?
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had nine more balls than Martin. How many balls did Martin win? Solve the help of the equation.
- Double of principal
How long will it take for the principal to double at 12.25% annual interest?
- 4 digit number
I am a four-digit number. My thousand period has a first digit, which is thrice the second digit, and the second digit is two more than the third digit. All the rest of the digits are zeros. What number am I?
- The whole number
A whole number is increased by seven, and the obtained number is multiplied by five. The result is 45. Find this number.
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