Grade - math word problems - page 128 of 950

Number of problems found: 18995

Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line?
Numbers 6D
Find out how many natural six-digit numbers exist whose digit sum is four.
Rhombus Side Length
Calculate the length of a side of a rhombus if you know that the perimeter of the rhombus is 19.88 mm and one side is 4.34 mm long.
Students with Honors
In the year's first half, 20% of the 8A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8A?
Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school?
Density of Titanium
The body of titanium weighs 227 kg and has a volume of 0.05 m³. What is its density?
Fence for Triangular Garden
The triangular garden has a perimeter of 197 m. If two sides with lengths of 58 m and 66 m are fenced, how many meters of fence still need to be built?
Dormitory Room Types
The dormitory accommodates 173 students in 48 rooms. Some rooms have three beds; some have four beds. If all rooms are fully occupied, determine how many are triples and how many are quadruple rooms.
Train Set Markings
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
Distance from Wheel Rotation
Škoda Kadjar has a wheel diameter of 65 cm. What path will it travel if it turns 100 times?
Area Difference: Square Circle
A square is described as a circle with a radius of 6 cm. How much larger is the area of the square than the area of the circle?
Circle arc + section
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE?
Lifetime - bell curve
Laser lifetime follows a normal distribution with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that the laser will fail before 6000 hours? What is the probability that the laser will last at least 7500 hours?
Material Delivery Rate
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days?
Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
Cylindrical bucket
The cylindrical bucket was filled 2/3 with water. You know that the diameter of the bottom is 25 cm, and the water reaches a height of 24 cm. What is the maximum amount of water that can be poured into the bucket?
Total Children on Trip
Twenty-nine girls and 16 more boys went on the school trip. How many children went on the trip together?
Exterior angles
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
Straight and right
What is the arithmetic mean of straight and right angles?

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