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All Questions
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237357 Questions
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311
2
help solving
Jacob and Nathan had an equal number of baseball cards. After Jacob gave away 49 baseball cards and Nathan gave away 85 baseball cards, Jacob had 5 times as many baseball cards as Nathan. How many baseball cards did each have at first?
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Guest
Jun 25, 2022
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301
2
math help
Troy collected 4 times as many hats as Jake. Jake collected 1/2 as many hats as David. Altogether, they collected 21 hats. How many fewer hats did Jake collect than Troy?
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Guest
Jun 25, 2022
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272
1
bases
A base-10 integer n can be represented as $32_a$ in one base and $13_b$ in another base, where a and b are any integer bases larger than 3. What is the smallest possible sum a+b?
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Guest
Jun 25, 2022
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245
1
help counting
How many 3-digit numbers contain exactly one 1 and one 2? Examples don't include 510 and 771.
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Guest
Jun 25, 2022
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217
0
+75
HELP ASAP
Allan and Bella are playing a game by taking turns to toss a coin. Allan wins as soon as ‘‘HTH" appears, Bella wins if ‘‘HH" appears. Find the probability that Allan wins?
HelpMePlssss
Jun 25, 2022
0
222
0
+75
Help
Randomly take two points on the boundary of a unit square. Two circles of radii 1/2 with these two points as their centers are drawn. What is the probability that they intersect?
HelpMePlssss
Jun 25, 2022
0
218
0
+75
help asap
Randomly select a point (x,y) from the unit square 0≤x≤1, 0≤y≤1. The probability that (x+2y,3x+y) is also in the square can be written as m/n, where m and n are coprime. Find the value of m+n.
HelpMePlssss
Jun 25, 2022
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207
0
+75
help me
Arrange the 26 letters from A to Z in a row. The probability that no vowels are next to each other is m/n, where m,n are relatively prime. Find the sum of m's digits.
HelpMePlssss
Jun 25, 2022
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258
1
Parallelograms
Let ABCD be a parallelogram. Extend BC past B to F, and let E be the intersection of AB and DF. If the areas of triangles BEF and ADE are 4 and 9, respectively, find the area of parallelogram .
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Guest
Jun 25, 2022
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197
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Analytic geometry
What is the product of all the coordinates of all the points of intersection of the two circles defined by x^2-2x+y^2-10y+20=0 and x^2-8x+y^2-10y+35=0?
Guest
Jun 25, 2022
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189
0
help geometry
Two sectors of a circle of radius 12 overlap as shown, with P and R as the centers of the respective circles. Determine the area of the shaded region.
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Guest
Jun 25, 2022
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234
1
counting problem
How many positive integers, not exceeding 100, are multiples of 2 or 3 but not 4 or 5?
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Guest
Jun 25, 2022
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274
1
Algebra
Let a and b be real numbers such that a+b=-1 and a-b=2. Compute a^2-b^2.
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Guest
Jun 25, 2022
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251
2
Algebra
When the same constant is added to the numbers 60, 100, and 180, a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
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Guest
Jun 25, 2022
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292
2
PLS HELP THX BEFORE HAND
Triangle XYZ is equilateral, with O as its center. A point P is chosen at random, inside the triangle. Find the probability that point P is closer to point O than to any of the vertices. (In other words, find the probability OP that is
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Guest
Jun 25, 2022
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284
1
Graphing
The graph of y = f(x) is shown below in red. Given that f is invertible, find f^{-1}(4)
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Guest
Jun 25, 2022
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279
2
help plz
What are the coordinates of the points where the graphs of f(x) = x^3 - x^2 + x + 1 and g(x) = x^3 + x^2 + x + 1 intersect? Give your answer as a list of points separated by semicolons, with the points ordered such that their x-coordinates are in increasing
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Guest
Jun 25, 2022
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258
1
quadratic
Given $x\neq0$, find the positive value of $b$ such that the equation 3/x + x/9 = b will have exactly one solution.
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Guest
Jun 25, 2022
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274
1
Algebra
The graph of the equation y=ax^2+bx-18 is completely below the x axis. If , a^2=49 what is the largest possible integral value of b?
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Guest
Jun 25, 2022
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277
1
Parabola question
Suppose that we have an equation y = ax^2 + bx + c whose graph is a parabola with vertex (3,4), vertical axis of symmetry, and contains the point (1,0). What is (a,b,c)?
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Guest
Jun 25, 2022
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188
0
Coordinates
Given that the point is (4,7) on the graph of y = f(x), there is one point that must be on the graph of y/2 = 3f(4x) - 5. What is the sum of coordinates of that point?
Guest
Jun 25, 2022
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272
1
help with graph
The graph of y = f(x) is shown in red below. For how many values of c is f(c) = -1?
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Guest
Jun 25, 2022
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269
2
+32
help please
a,b,c,d,e and f are positive numbers such that bcdef/a=4, acdef/b=9, abdef/c=16,abcef/d=1/4, abcdf/e=1/9,abcde/f=1/16. Then (a+c+e)-(b+d+f)=_____
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catswift
Jun 25, 2022
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281
1
help polynomial
When the expression (2x^4+3x^3+x-14)(3x^{10}-9x^7+9x^4+30)-(x^2+5)^8 is expanded, what is the degree of the resulting polynomial?
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Guest
Jun 25, 2022
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205
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Graphs
A and B are constants such that the graphs of xy = B and y = Ax^2 + B intersect at the point (2,8). Write the ordered pair (A, B).
Guest
Jun 25, 2022
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