Algebra - math word problems - page 237 of 278
Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.Number of problems found: 5547
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - 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. - Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel, what the values of - Workers 9
If two workers fix two windows in an hour, how many windows can 18 workers fix in the same two windows?
- Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - 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. - 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. - 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? - The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town.
- Characteristics: 80608
Arithmetic mean xA=40 and standard deviation sx=8 were calculated. Determine from which numbers the student calculated the given characteristics: a) 24 and 56 b) 16 and 64 c) 32 and 48 - Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs. - Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) A (-2,-6), B (3,4) - The scores
The scores of 10 learners in a test arranged in ascending order is 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 - Tram stop
At the tram stop, trams No. 4 and No. 5 met at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will we meet until 12 o'clock?
- Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid? - Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Independent term
Find the term independent of x in the expansion of (4x³+1/2x)8 - No. of divisors
How many different divisors have number 13 4 * 2 4? - Three men
If three men can do a job in 8 days, how many men can do the same job in 6 days?
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