Algebra - math word problems - page 298 of 304
Number of problems found: 6070
- Tributaries
The first tributary fills the pool with water in 15 hours. The second tributary fills the pool in 10 hours. For how many hours is the pool filled with both tributaries? - Two workers
Two workers work together and perform the job in 12 hours. If one has done half the work and then the second worker does the next half of the work, it will take 25 hours. How long would it take to job them separately? - Tanker
The first pump can empty an oil tanker in 6.1 hour, and the second pump can empty a tanker in 10.3 hours. If the first pump starts at 5:00 and the second starts 1.4 hour later, when will the tanker be empty? - Workers
Two workers would fulfill a certain task when working together for 10 days, the first if he worked himself done work in 17 days. How many days will the second worker do the whole job? - Five numbers in ratio
Five integers are in the ratio 1:2:3:4:5. Their arithmetic mean is 12. Determine the smallest of these numbers. - Probability 68574
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Steamship
Between the two ports on the river is going steamship. The journey there and back takes 12:53. Downstream steamship traveling at 19 km/h, upstream 8 km/h. What is the distance between the ports? - Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66. - Blueberries 48771
Mirka picks up a bucket of blueberries in two hours. Lorenzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim? - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Insert four
Insert four harmonic means between 3/7 and 3/19 - Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - Together 3
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? - Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q)
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