Equations practice problems - page 223 of 236
Number of problems found: 4708
- Sales off
What was its original price if a sweater sells for $ 19 after a 5% markdown?
- Scouts
The boys from the scout group traveled a distance of 115 km over d days. Every day, they walked less than the previous day. How many kilometers did the scouts walk on the first day?
- Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88?
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r1 = 6.1 cm and r2 = 7.9 cm.
- Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes?
- Sales vs profit
Apple sells 46 percent less computes than Acer, but its sales are 7.8 times higher than Acer. How many times have Apple computers been more expensive than Acer?
- The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director
- Bases
The length of the bases trapezium is in ratio 4:5. The length of the midline is 15. How long are the bases of a trapezoid?
- Racer
The first racer runs at a speed 22 m/s and is 880 meters before the finish and ahead 68 meters before the second competitor. At what speed must the second racer run to catch the first racer at the finish line?
- Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
- Brunette
The girls attending primary school are 80% blondes and 20% brunettes. 32% blondes and 68% brunette has blue eyes. How many girls attend school altogether if 490 girls have blue eyes?
- TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
- Trains
From station 130 km away started passenger train and after 2.7 hours after the express train, which travels 20 km an hour more. Express train finish journey 12 minutes early. Calculate the average speed of these two trains.
- Flowerbed
On the flowerbed were planted 280 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed?
- Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s)
- The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 166 cans of corn, leaving 5 times more peas than corn cans. How many cans of each kind were in the store?
- Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 22 days, B with C for 10 days, and A with C for 19 days. How long would it take to complete the task for everyone alone? How long would it take to complete the
- Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes?
- Equation
Equation -2x²+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2.
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