Algebra - math word problems - page 331 of 353
Number of problems found: 7043
- Permutations Equation Elements
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements? - Bricklayers
Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days? - Four-digit number
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Twos
Vojta started writing the number this year, 2019202020192020, into the workbook. And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write? - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - Swing balance lever
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so - Stone lever force
A person lifts a stone weighing 285 kg with the help of a lever that is supported at a distance of 30 cm from the stone. A person acts on the lever at a distance of 90 cm from the support. How much force does a person have to use to lift a stone? - Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Consecutive odd numbers
The sum of two consecutive odd numbers is 184. What are these numbers? - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Even number writing Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
- Kitchen cabinet assembly
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50 - Dice conditional probability
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Integer part system
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.) - Four-digit number puzzle
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Compound interest 4
Peter placed 3600 dollars in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent? - MO Z6-6-1
Write integers greater than 1 to the blanks in the following figure so that each darker box is a product of the numbers in the neighboring lighter boxes. What number is in the middlebox? - Fertilizer
Mr. Gherkin uses for fertilization 7% solution of fertilizer. 9 liters of it still left. How much water must be added to the solution to make only the 4% solution? - Following bike
At 8:00 a.m., my son rode a bicycle at a speed of 18 km/h. at 8:20 a.m., his father followed him at a speed of 60 km/h. How long will it take for Dad to arrive?
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