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All Questions
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230610 Questions
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208
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Consider this system of equations: 2/3x+3/5y=12(equation A) 5/2y-3x=6(equation B) The solution for the system of equations is .
Consider this system of equations: 2/3x+3/5y=12(equation A) 5/2y-3x=6(equation B) The solution for the system of equations is .
A.(1118/47,396/47) B.(33/13,50/13) C.(99/13,150/13)D.(8,12)
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Guest
Jul 12, 2022
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350
4
Number Theory
Goldbach's conjecture states that every even number greater than two can be expressed as the sum of two prime numbers. For example, 2022 = 191 + 1831. How many ordered pairs of prime numbers have a sum of 100?
nerdiest
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Guest
Jul 12, 2022
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217
1
Find the value sin 45 - cos 30 in surd form
Find the value sin 45 - cos 30 in surd form
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Guest
Jul 12, 2022
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228
1
Coordinates
A convex polygon has vertices at the points (2, 0), (1, 0), (-2, 5) and (-2, 4). What is the area of the polygon?
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Guest
Jul 12, 2022
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198
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plz help
John inserts some number of parentheses into the expression shown to create a valid mathematical expression. What is the smallest possible integer value of John's expression?
1 + 2 * 3 + 4
Guest
Jul 12, 2022
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216
3
Graphing
What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{2}} (x^2 - 18)
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Guest
Jul 12, 2022
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179
1
Algebra
For what value of the constant a does the system of equations below have infinitely many solutions?
2x + 5y = -8
6x = 16 + a - 15y + 4x + 10y
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Guest
Jul 12, 2022
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144
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Algebra
The quadratic polynomial p(x) = ax^2 + bx + c has positive integer coefficients a, b and c that each have a value from 1 to 9, inclusive. To eight decimal places, the solutions to p(x) = 0 are x = -0.18858048
read more ..
Guest
Jul 12, 2022
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184
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Sum
What is the sum of all the five-digit positive integers in which each of the digits 1, 2, 3, 5 and 8 appear exactly once?
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Guest
Jul 12, 2022
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130
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Algebra
The Heronian mean H(a, b) is defined as H(a,b) = (a + sqrt(ab) + b)/3. What is the least positive integer b > 4 such that H(4, b) is also a positive integer?
Guest
Jul 12, 2022
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271
1
stats
This chart shows the number of each type of organism collected by a team of entomologists. Insects always have six legs and worms always have zero legs. Arachnids usually have eight legs, but occasionally there are arachnids with six legs. A millipede has
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Guest
Jul 12, 2022
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175
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help system
Solve the following system of equations:
3x-5y=-11,
7x+2y=-12+3x.
Express your answer as an ordered pair (x,y).
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Guest
Jul 12, 2022
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232
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Math
Antonio had $78 when he entered the store. After buying 10 identical computer games, Antonio had $38 left. What was the cost of each computer game?
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Guest
Jul 12, 2022
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163
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Number Theory
Determine the largest possible integer n such that 942! + 120! is divisible by 60^n.
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Guest
Jul 12, 2022
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222
2
Let $f(x)=\frac{1}{x-3}$. Find the largest $x$ that is not in the domain of $g(x)=f(f(x))$.
Let . Find the largest that is not in the domain of .
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Guest
Jul 12, 2022
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290
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Let $f(x)=3x+2$ and $g(x)=ax+b$, for some constants $a$ and $b$. If $ab=90$ and $f(g(x))=g(f(x))$ for $x=0,1,2\ldots 9$, find all possible v
Let f(x)=3x+2 and g(x)=ax+b, for some constants a and b. If ab=90 and f(g(x))=g(f(x)) for x=0,1,2\ldots 9, find all possible values of a, separated by commas.
Please help!!
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Guest
Jul 12, 2022
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203
1
circles
Three circles are pairwise externally tangent, as shown below. The circles have radii of 1 meter, 3 meters and 5 meters. In square meters, what is the area of the polygon formed by connecting the centers of the circles?
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Guest
Jul 12, 2022
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142
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help algebra
Zander, Ailey and Liz are partners in a babysitting business. Zander and Ailey, the elder two, charge 1 1//2 times as much as Liz, the youngest. Each of the partners in the business puts 8% of their earnings into the business for expenses. Last week,
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Guest
Jul 12, 2022
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145
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Counting
Riley has a stack of ten cards. On the nth card, n consecutive letters starting with the nth letter of the alphabet are printed. For example, on the first card, the letter A is printed. On the second card, the letters BC are printed. On the third card,
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Guest
Jul 12, 2022
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133
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Counting
How many different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} contain at least one element in common with each of the sets {2, 4, 6, 8, 10, 12}, {4, 8, 12} and {2, 3, 5, 7, 11}
Guest
Jul 12, 2022
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200
1
quadratic
The polynomial p(x) = x^2 + ax + b has positive integer coefficients a and b. If p(80) is a perfect square and the equation p(x) = 0 has two distinct integer solutions, what is the least possible value of b?
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Guest
Jul 12, 2022
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149
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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 a flock of 150 polypay
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Guest
Jul 12, 2022
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289
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+1162
Imagine web2.0 glitching. :)
For some reason I am trying to upvote someone's answer to one of my questions but the button just loads and then a pop up says 'web2.0 says' and then there is a big blank.
It's annoying and confusing. Could someone
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nerdiest
Jul 12, 2022
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337
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Graphing parabolas
The graph of the line y = 3x + a intersects the graph of the parabola y = x^2 + x in two points. If the distance between these points is sqrt(30), what is the value of a? Express your answer as a common fraction.
Guest
Jul 12, 2022
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