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230640 Questions
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142
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Coordinates
Find y if the point (-6,y) is on the line that passes through (-1,7) and (3,-12).
Guest
Jul 13, 2022
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177
1
Help, please! *\_*-*_/*
Find all y such that (3y - 5)/6 = (2y - 1)/3 + 1.
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Jul 13, 2022
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141
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Numbers
If 3/(x + 2) = (y + 3)/2 and x and y are integers, what is the sum of all possible values x?
Guest
Jul 13, 2022
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219
2
Counting
Kurt is creating a bouquet of flowers for his mother. He has a selection of roses, lilies, orchids and violets from which to create a bouquet of a dozen flowers. Kurt's mother loves orchids, so his bouquet will have at least eight orchids. How many
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Jul 13, 2022
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168
2
Help, please! *\_*-*_/*
(a) If , evaluate ?
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Jul 13, 2022
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158
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area question
From 1908 to 1940, a house could be mail-ordered from the Sears catalog. Shown here is a floor plan for the Shelburne No. 1 model which was sold during the 1920s. The dimensions of each room are given in feet and inches, and adjacent walls meet
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Jul 13, 2022
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164
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algebra
What is the arithmetic mean of the first ten positive perfect cubes? Express your answer as a decimal to the nearest tenth.
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Jul 13, 2022
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134
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Simplify
Simplify (24m^5)/(7m^17)*(49m^9)/(2m^3)*(3m^(-2))*4m
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Jul 13, 2022
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175
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help
The sum of 9 distinct positive integers is 2009. Find the maximum possible value of the greatest common divisor of these 9 numbers.
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Jul 13, 2022
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177
2
Help, please! *\_*-*_/*
(A) Find all values of that satisfy the equation
(B) Find all real numbers that satisfy
(C) Find all such that
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Guest
Jul 13, 2022
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119
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gcf and lcm
For a set of distinct 5-digit natural numbers, the gcf and lcm of all elements are 146 and 20082008 respectively. Let N be the number of elements in this set, with minimum possible value m_1 and maximum possible value m_2. Find m_1+m_2.
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Jul 13, 2022
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208
2
LCM
Suppose and are positive integers such that
Find the minimum possible value of .
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Jul 13, 2022
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128
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geometry
In quadrilateral AC, we have AB = 3, BC = 6, CD = 14, and DA = 18.
If the length of diagonal is an integer, what are all the possible values for AC? Explain your answer in complete sentences.
Guest
Jul 13, 2022
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153
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geometry
Circle \omega has radius 5 and is centered at O. Point A lies outside \omega such that OA=18. The two tangents to \omega passing through A are drawn, and points B and C are chosen on them (one on each tangent),
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Guest
Jul 13, 2022
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190
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Number Theory Problem
Lizzie came up with a divisibility test for a certain number : m not equal to 1
Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit
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Guest
Jul 13, 2022
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200
1
Coordinates
The points (1, 7), (13, -16) and (5, k), where k is an integer, are vertices of a non-degenerate triangle. What is the sum of the values of k for which the area of the triangle is a minimum?
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Guest
Jul 13, 2022
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190
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sequence
A sequence with a_1 = 1 is defined by the recurrence relation a_{n + 1} = 2^{n} a_n for all natural numbers n. If a_{23} = 2^p, then what is p?
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Guest
Jul 13, 2022
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131
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help number theory
Suppose a and b are positive integers such that gcd[a,b] is divisible by exactly 7 distinct primes and lcm{a,b} is divisible by exactly 20 distinct primes. If a has fewer distinct prime factors than b, then a has at most how many distinct prime factors?
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Guest
Jul 13, 2022
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136
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Complex numbers
Let z = a + bi, where a and b are positive real numbers. If
z^3 - z^2 + z = 0,
then enter the ordered pair (a,b).
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Jul 13, 2022
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246
6
CPhill/Melody, Please Help
In the card game Set, each card features a number of shapes, with four attributes:
Number: The number of shapes is 1, 2, or 3.
Color: Each shape is red, purple, or green.
Shape: Each shape is oval, diamond, or squiggle.
Shading: Each shape
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Guest
Jul 13, 2022
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199
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trig
Find the smallest positive integer x for which the expression log(sin(2x)) is not defined. (The sine function is evaluated in terms of radians.)
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Guest
Jul 13, 2022
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202
1
Parabolas
The graph of a certain quadratic y = ax^2 + bx + c is a parabola with vertex (4,0) which passes through the point (5,7). What is the value of a?
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Guest
Jul 13, 2022
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196
1
Algebra
A polypay sheep produces an average 9.9 pounds of wool annually. This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each. One pound of wool makes 12.50 miles of yarn. If farmer Bill has
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Guest
Jul 13, 2022
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196
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Algebra
The 5th power of a positive number is equal to the product of 1/3 and the 6th power of the number. What is the ratio of this number's 12th power to its 9th power? Express your answer as a common fraction.
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Guest
Jul 13, 2022
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132
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gcd
What is the greatest common divisor of 121^2 + 233^2 + 345^2 and 120^2 + 232^2 + 348^2?
Guest
Jul 13, 2022
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