Algebra - math word problems - page 258 of 303
Number of problems found: 6048
- Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members. - Together 5663
Two workers would do the work together in 2 days. The first would do some work here in 6 days. In how many days would the second worker do this work? - Drawing from a hat
When drawing numbers from a hat from 1 to 35, we select randomly given numbers. What is the probability that the drawn numbers will be divisible by 8 and 2? - The scores
The scores of 10 learners in a test arranged in ascending order are 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23, and 24. If the median mark is 20, find (a) value of a. (b) mean - Seven
Seven dwarfs will cut 420 stumps in 15 hours. After five hours, the two dwarves disappear discreetly. How many hours will the remaining dwarves complete the task? - Six numbers
The average of 6 numbers is 3.95. the average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers? - Average 20173
The average of the two numbers is 2.8. One number is 5. What is the second number? - Used cars
Peter plans to buy a used car: The first car was a Renault Espace 2.0 dCi 16V Dynamique 2006, which cost 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost h - Two tributaries
Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary? - Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines. - The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile. - Combinations
Evaluate the following expression involving combinations and permutations: C(6,3) + 3 P(6,3) - Intersection 8295
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1 - Together 82970
The first tiler would tile the pool inside in 5 working hours; the second would need 7 working hours for the same job. How long would it take them to tile the pool inside together if the second tiler starts working on the pool 12 minutes later than the fi - The average 5
The average of the two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - The noon-time
The noon-time temperature was 29°F. It was 4°F lower than predicted. Write and solve an equation to determine the predicted noon-time temperature. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Two workers
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker? - Resistance 7503
The resistance of a 40W light bulb is 10 Ohms. What voltage source is connected to it? What current is flowing through it?
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