Algebra - math word problems - page 124 of 305

Number of problems found: 6095

Consecutive number sum
Five consecutive numbers give the sum of 220. Identify the smallest of them.
Solve Exponential Equation
For n ϵ N solve: 100 = (0.01n)²
Hair accessories
In class 3C, nine girls wear hairpins, and eight girls wear elastic bands on their hair. However, there are only 14 girls. Is that possible?
Sequence members
Determine the first nine members of the sequence if a ₁₀ = -8, q = -1.
Number product factors
The product of two whole numbers, one of which is 19 greater than the other, equals the number 416. Find both factors.
Circus sector seats
In a circus, in one sector for spectators, the seats are arranged in such a way that in each higher row, there is one more seat than in the previous one. How many seats are there in a sector with 22 rows if there are 8 seats in the first row?
Arithmetic geometric sequence
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.
Sequence sum formula
Two arithmetic sequences have the same first term. The nth term of the first sequence is 15, and of the second sequence, 21. The sum of the first n terms of the first sequence is 63, and of the second sequence, 84. Write the sums of the first n terms of b
Residents
In a college dormitory, 1/10 of the residents are juniors, and 2/5 of the residents are sophomores. What fraction of the students at the dormitory are juniors and sophomores?
Sheep white black
Forty sheep graze in the meadow. There are 4 times more whites than blacks. How many white and how many black sheep are grazing in the meadow?
Sum of 24
The sum of the two numbers is 95. If one exceeds the other by 15, find the numbers.
FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles
5 times
Find an unknown number; if five times as large as 110 is 1/2 of what number?
Geometric sequence terms
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3
Two expressions
When x = 3 and y = 5, how much does the value of 3x² – 2y exceed the value of 2x² – 3y?
Consider 2
Consider the following formula: y = 3 ( x + 5 ) ( x - 2 ). Which of the following formulas is equivalent to this one? A. Y=3x²+9x-30 B. Y=x²+3x-10 C. Y=3x²+3x-10 D. Y=3x²+3x-30.
Andrew
Andrew had an offer for a job starting at 100000 per year and guaranteeing her to raise 10000 a year for the next years. Find her salary for the 4th year.
Number division puzzle
I think the number. If I divide it by four and add 7 to the share, I get 62. What number do I think?
Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers.

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