System of equations + expression of a variable from the formula - practice problems - page 10 of 11
Number of problems found: 211
- Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504. - Difference 4050
Calculate the size of the interior angles of a triangle if the size of the second angle is 120 degrees less than twice the size of the first angle and the size of the third angle is equal to the difference between the sizes of the first and second angles.
- Transferred 4040
The cowboy has 25 horses in two pens. He transferred 5 from the first to the second, then sold 7 horses from the second. How many horses were originally in the first pen? In the first enclosure, there were just 2 times more horses than in the second enclo - Difference 3994
In a trapezoid, the difference is a base of 6 cm. Calculate the lengths of the bottom of a trapezoid when its height is 8 cm and the area of the trapezoid is 168 cm square. - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Difference 3870
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers. - Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
- Price saleoff
Shoes standing y euros. At first, they were discounted by 12% and then 50% of the new amount. After this double cheapening the cost was exactly 22 euros. Determine the original price of the shoes. - Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig - Determine 3800
Dano and Juraj have a total of 120 euros. Juraj has 40% less money than Daniel. Determine how much money Daniel and Juraj have. - Table
The circumference of the rectangle table is 420 cm. Length to width ratio is 5:2 . Calculate table dimensions and dimensions reduced in the ratio of 3:5 - Two girl's numbers
Dagmar and Julka had numbers. Dagmar's number was equal to the square root of Julka's number. The sum of Dagmar's and Julka's numbers equals 84. Find what number Dagmar and Julka had.
- Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno. - Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf? - The car
The car traveled the distance between A and B for four hours. If we increase the average by 17 km/h, the car travels this distance an hour earlier. Determine the initial speed of the car and the distance between A and B. - Jam
A jar with jam weighs 800 grams. Jam weighs three times as much as the empty glass. What is the weight of the jam that is in the glass? - Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?
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