Equation + expression of a variable from the formula - practice problems - page 39 of 40
Number of problems found: 800
- Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Alcohol
How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liters of 40% alcohol? - Salary in enterprise
The average salary in the company is 27 000 CZK. 30% of workers have the lowest average income of 19 thousand CZK. There was an increase in the wages in this group by 2%. How much % increased the average wage across the company? - Repetitions 2956
How many elements do we have if the variation of the third class without repetitions is ten times more than the variation of the second class?
- Even / odd numbers
a / Using variable n, write two consecutive odd numbers. b / the sum of three consecutive odd numbers is 333. What are these numbers? - Percentage 2853
The washing machine originally cost 450 €, the shop reduced it by 12%. After the second discount, it cost € 364.32. What percentage did it reduce for the second time? - Creases 2795
Three punch cuts cost as much as two creases. How much does it cost if five punch cuts cost 2 euros 50 cents? - Two-thirds 2786
Two-thirds of girls and half of boys learn Spanish in the classroom. There are twice as many boys in the class as there are girls. What part of the class is learning Spanish? - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
- Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - Cyclist vs boat
The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the ship will catch up at the next stop. The stop is 12km far along the water a - On the farm
On the farm were housed 70 heads of cattle with food supply for 180 days. After 60 days, ten heads of cattle were sold, and for the next 30 days, they sold ten more. How many days is a sufficient supply of feed for the remaining cattle? - Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation.
- Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Disease
Farmers'cooperative had a supply of feed for 50 cows for six days. Cows got insidious disease after four days. Ten of them died. How many total days that farmers had feed cows? - Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC. - Height of the arc - formula
Calculate the arc's height if the arc's length is 77 and chord length 40. Does exist a formula to solve this?
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