Grade - math word problems - page 419 of 947

Number of problems found: 18923

Operations with sets
Set B - A has twice as few elements as set A - B and four times fewer elements than set A ∩ B. How many times more elements does set A have than set B?
MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How
Subtracting sets
For two sets K, L is true: K has 30 elements, L has 27 elements, and the set L - K has 22 elements. How many elements does the set K - L have?
Swimming pool
A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end, and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the
Following 34291
The following holds for two non-empty sets, A and B: A ∪ B has 16 elements, A ∩ B has 11 elements, and the set A - B is empty. How many elements does set B-A to have?
Venn diagram
University students choose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
Integer add to fraction
Seven is added to the sum of 4/5 and 6/7
Multiplied 34241
Peter multiplied 100 by 100 by ten and then divided the result by 10 by 10. What numbers does he get?
Already 34231
Every time it is Friday, Mom takes five apples. Friday has already taken place 18 times. How many apples does my mom have if she always ate only 1?
Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³.
Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length.
Transmitter 34201
A television transmitter 108 m high is anchored at 2/3 of its height (from the ground) by three ropes of equal length. How many meters of rope are needed for anchoring if it is embedded at a distance of 54 m from the foot of the mast, and we count 10% of
Procedure 34191
Petr got a fifth more than Pavel, Jirka got 100 CZK more than Petr, and Honza got half of what Petr did, so they shared the reward of CZK 2,500. Solution and procedure.
The data
The data set represents the number of cars in a town given a speeding ticket daily for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR?
A trout
A trout was swimming 9 feet below the surface of a lake. It dove down eight more feet to search for food. What is the position of the trout now relative to the surface? To solve the problem, Denise subtracted 9–8 and came up with an answer of 17 feet. Is
Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
Maxwell’s inductance bridge
The four arms of Maxwell's inductance bridge are as follows: Arm AB contains an inductive coil of inductance L1 with resistance R1. Arms BC and CD contain non-inductive resistances of 200Ω and 100Ω, respectively. Arm AD contains a standard inductor of ind
Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.

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