Examples of equations for high school - page 25 of 63
Number of problems found: 1258
- Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Equation 23
Find the value of unknown x in the equation: x+3/x+1=5 (problem finding x) - Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?
- Faces diagonals
If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), find the cuboid volume. Solve for x=1.3, y=1, z=1.2 - Three-day trip
The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. How many kilometers did cyclists travel each day, and how many? - Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options. - Reciprocal value
How do I calculate a number x that is nine greater than its reciprocal (1/x)?
- Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1 - Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Casey was twice as old as his sister three years ago. Now he is five years older than his sister. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 year - Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.
- Calculate 9571
At 9:00 AM, a car left Zlín in the direction of Brno, 98 km away. At 9:15 AM, a vehicle left Brno in the direction of Zlín and drove at a speed 6 km/h higher than the speed of the car traveling from Zlín. The cars met at 9:45 AM. Calculate the speeds of b - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then? - Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
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