Grade - math word problems - page 502 of 953
Number of problems found: 19049
- Sine theorem 2
From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°. - Machine production calculation
In the factory, they produced 1,500 products a week on five machines. How many machines do they need to produce 2,000 products a week? - Cube edge doubling
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Vector equation
Let's v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7). Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1, c2, c3 and decide whether v, u, and w are linear dependent or independent - Cardboard box
Peter had square cardboard. The length of the edges was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Classmate seating arrangements
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down? - Nutballs
The dough for nutballs contains, among other things, two basic raw materials: flour and nuts, in a ratio of 2:1. How much flour is needed, and how many nuts are needed for 1 kg of dough if the "other" is 100g? - Ducats
The king divided the ducats into his three sons in a ratio of 2:5:4. How many ducats did the king divide them if the youngest received 260 ducats, the least of all sons? - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Car meeting distance
Mr. Kotek drove from Brno to Prague at 11 a.m. at a speed of 80 km/h. His friend drove from Prague to Brno half an hour later at a speed of 85 km/h. Which of them will be closer to Prague when they meet? The distance between the cities is approximately 21 - Train meeting calculation The train left station A at 10 o'clock. At a speed of 55 km/h. One and a half hours later, opposite him, an express train departed from station B, 360 km from station A, at a speed of 130 km/h. At what time and how far from station A will both trains meet
- Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm3 - Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²) - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - Consecutive even numbers
The sum of five consecutive even numbers is 40. Find these numbers. - Ball color probability
Determine the probability that three balls, ten red, and ten blue balls, will be drawn from 3 balls of the same color. - Cup saucer price
Four cups and one porcelain saucer cost € 140. Two cups and five saucers cost € 160. How much is a cup? - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6cm. - Fruit juice preparation
Fruit juice concentrate is sold in two-liter bottles. It is diluted with water in a ratio of 1:9. a) determine how to prepare 5 liters of fruit drink from concentrate and water. b) How many liters of fruit drink can be prepared from a full bottle of fruit - Fall sum or same
Find the probability that if you roll two dice, the sum of 10 will fall, or the same number will fall on both dice.
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