Equations practice problems - page 189 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4221
- Circular flowerbed
We split the circular flowerbed with diameter 8 m by concentric circle to circle and annulus with the same area. Find the radius of the circle. - Trapezoid v3
The isosceles trapezoid has an angle at a first base 40 degrees less than the angle at the second base. How large angles has this trapezoid? - Holiday SMS
Kucera and Malek start the holiday together. They agreed that they would send an SMS if they were 100 km apart. Kucera traveling at 60 km/h., Malek 90 km/h. They started at 14 hours PM. At what time do they send a message? - Cookies
Mom bake cookies. Rolo took 2/9 of all cookies, and Michal 3/9. How many cookies ate Rolo if Michal had 9?
- 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
Mother is 39 years old. Her daughter is 15 years. For many years will the mother be four times older than the daughter? - 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% 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? - Father and son
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?
- 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 year 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?
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