Grade - math word problems - page 148 of 953
Number of problems found: 19046
- Coordinates - ellipse
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4]. - Robinson on the island
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - Three vertices
The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Prism volume surface
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm. - Club animal count
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the - Seed mixture tons Farmers on Mr. Dvořák's farm sowed 3.5 tons of feed mixture seeds after the harvested wheat. This seed was blended from oats and vetiver. We know that 1t of this seed was worth 2840 CZK, 1t of oats 3000 CZK, and 1t of vetiver 2800 CZK. From how many tons
- Parallelogram - sides
In a parallelogram, we know the length of one side. Calculate the length of the other side: o = 15cm; a = 3 cm - Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Tram - safe downhill
What is the maximum angle at which the tram can go downhill to still be able to stop? The coefficient of shear friction is f =0.15. - Pocket money
Karol spent half of his pocket money. He gave two-thirds of the rest to his friend Michael. He had 50 CZK left from his pocket money. A. Calculate how much money Karol gave Michael. B. Calculate how much money Karol received as pocket money. - Number product factors
The product of two whole numbers, one of which is 19 greater than the other, equals the number 416. Find both factors. - Alcohol concentration mixing
In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta - Seamstress fabric meters
The seamstress has to sew 12 sheets and 12 pillows. How many meters of fabric does he need if he uses 4m of fabric for one cover and 2m for a pillow? - Right-angled triangle
Determine point C so that triangle ABC is right-angled and isosceles with hypotenuse AB, where A[4,-6], B[-2,10] - Two 2 Two different harvesters harvested potatoes with an area of 6.6 ha in one shift when they were operating simultaneously. The area of land from which the less powerful harvester was able to harvest potatoes in six shifts, the more powerful harvester in
- Apple fraction collection
Four friends were picking apples. Filip collected 3/16, Patrik 1/4, and Tomáš 1/3 of all apples. How many apples did Štefan collect? - Trapezoid base perimeter
The isosceles trapezoid has a base length of 12 cm, a height of 4.5 cm, and a height of 5 cm. What is its circumference? - Cylinder shell volume
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Wheat harvest hectare Farmers harvested 1110q of grain from 37 hectares of wheat. a) how many q of wheat did they harvest from 12 hectares? b) how many grains were harvested from 1 m². C) how big is the side of the square of the field from which they harvested 1q of wheat?
- Juraj win loss
Two friends, Martin and Juraj, agreed that they would score +26 points for wins and -16 points for losses. Juraj lost nine times and won four times. What was his final score?
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