Grade - math word problems - page 187 of 944
Number of problems found: 18874
- Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Calculate: 80496
Calculate: |7 − 15| + |8| − |−13| − 1 = - Solve 18
Solve simple equation: 3x = 5x + 6/2x + 3 - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Eighty-two 80493
The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis? - Triangles 80492
The sum of the lengths of the three segments is 140mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Grandmother's 80490
Little Red Riding Hood walked through the forest from her house to her grandmother's house. She walked at an average speed of 0.75 m/s. She left her house at 11:30 and reached her grandmother exactly at noon. How far from her house does her grandmother li - The electric motor
The electric motor winding's copper wire (alpha=4*10-3 1/K) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees? - Nikelin and brass Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm
- Six-fifteenths 80487
Hermione Granger prepares an anti-boredom potion. She read in the recipe that the brew volume is two-ninths of liquid toad poison, six-fifteenths of mandrake nectar, and the rest is 34 milliliters of water. How many milliliters of Potion will Hermione mak - Dividing cups
What is 1/4th of 3 2/3 cups? - Wire cut 2
We can cut a length of wire into five pieces, each 24 cm long. How many pieces, each 15 cm long, can be cut from the wire? - Tracksuits
There are 250 tracksuits in a box. The shop sold 1/5 of the tracksuits on Monday, 1/10 on Tuesday, 2/5 on Wednesday, and the rest on Thursday. How many tracksuits did the shop sell on Thursday? - Resistivity 80483 The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made.
- Airport's 80482
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Kilograms 80481
What is the weight of a sheet of glass 75 cm x 120 cm and 2 mm thick if one cubic meter of glass weighs 2500 kilograms? - Ahsan
Ahsan has a large pizza. He gives 1/3 to his sister and 1/4 to his mother. What fraction of the pizza does Ahsan have left? - Entrance exam
In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the s
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