Equations practice problems - page 216 of 241
Number of problems found: 4811
- Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Mom and daughter
The mother is 39 years old, and her daughter is 15. Will the mother be four times older than the daughter for many years? - Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3 - Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance. - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm². - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - The ship
The ship went at the upstream speed of 20 km/h in relation to water. The river flows at a speed of 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long does it take back when even if the downstream speed of the s - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Dining room
The dining room has 11 tables (six and eight seats). In total, there are 78 seats in the dining room. How many are six-and eight-seat tables? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son? - Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men? - Profits
Two members will make a profit of 52,000 EUR. The first earned 8% more and the second 10% more and thus earned 56,700 EUR together. How much will each initially earn? - Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger? - Bank deposit
Ms. Jana, after the withdrawal amount of 2,500 euros after a year of saving in the bank. What was her deposit if the interest rate was 2.5% p.a? - Cents
Julka has 3 cents more than Hugo. Together, they have 27 cents. How many cents has Julka and how many Hugo? - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Two workers
Two workers together execute some work in 10 days. The first worker would have done it himself in 20 days. How many days would they have done himself a second worker? - Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue - Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and
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