All Questions ⁺⁰238233 Questions

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Math

If x and y are positive integers for which 3x + 2y + xy = 115, then what is x+y?

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Chickenisyummywith Feb 18, 2023

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232

2

Right-Triangle Trigonometry

is a regular tetrahedron (right pyramid whose faces are all equilateral triangles). If is the midpoint of line , then what is ?

Guest Feb 18, 2023

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220

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sus

Guest Feb 18, 2023

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193

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Function

I don't get this

Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F((2x - 3)/x) = x.
Find the function F(x) satisfying these read more ..

Guest Feb 18, 2023

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238

1

Counting

Need help on this plz

Find the number of ways of choosing three points from the grid below, so that they form an isosceles right triangle.

Guest Feb 18, 2023

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190

0

Counting

Marvin the fly starts at (0,0). Each step, Marvin moves one unit right or one unit up. He is trying to get to the point . However, at there is a frog that will eat him if he goes through that point. In how many ways can Marvin read more ..

Guest Feb 18, 2023

0

176

1

Algebra

Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1.

(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b

Guest Feb 18, 2023

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182

1

Help plz

Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 2
The sum of the digits is 3

Guest Feb 18, 2023

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189

0

Counting

Joanna has six beads that she wants to assemble into a bracelet. Three of the beads have the same color (like red), and the other three have the same color (ike blue). How many different ways can Joanna assemble her bracelet? (Two bracelets are considered read more ..

Guest Feb 18, 2023

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225

2

Geometry

Help with parallelogram

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem.
<read more ..

Guest Feb 18, 2023

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185

0

Counting

Help with grid

Each unit square of the 4 x 4 grid below is to be filled in with the number 1, 2, 3 or 4 so that read more ..

Guest Feb 18, 2023

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169

1

Algebra

If I give my brother 5 dollars, then we will have the same amount of money. If instead he gives me 24 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

Guest Feb 18, 2023

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199

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Probability

Need help with probability

My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching read more ..

Guest Feb 18, 2023

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196

0

Algebra

Find all solultions of the equation |x^2 - 30x - 1| + |x^2 - 30x + 1| = 30.

Guest Feb 18, 2023

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192

0

Counting

In how many ways can you distribute 10 indistinguishable balls among 8 distinguishable boxes, if at least one of the boxes must be empty?

Guest Feb 18, 2023

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190

0

Counting

I have 5 different mathematics textbooks and 4 different psychology textbooks. In how many ways can I place the 9 textbooks on a bookshelf, in a row, if there must be a psychology textbook in the middle?

Guest Feb 18, 2023

0

193

0

Counting

A speech class has five freshmen and four sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that at least four of the freshmen are standing next to each other?

Guest Feb 18, 2023

0

206

1

Counting

My square patio is tiled with square tiles, all the same size. All the tiles are gray, except the tiles along the two diagonals, which are all yellow. (The corners are yellow, the center is yellow, and all the tiles along the diagonal in between read more ..

Guest Feb 18, 2023

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194

0

Counting

Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least two children? read more ..

Guest Feb 18, 2023

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181

0

Counting

Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest Feb 18, 2023

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200

0

Probability

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The read more ..

Guest Feb 18, 2023

0

181

0

Counting

Can anyone help plz?

A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so at least two of the sophomores are standing next to each other, and read more ..

Guest Feb 18, 2023

0

191

0

Probability

I need the answer to this

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Feb 18, 2023

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190

0

Expected value

I need help with these

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
(a) What is the expected value of the number shown when we draw a single slip of paper?
(b) read more ..

Guest Feb 18, 2023

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194

0

Algebra

For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7
kx + z = 3 read more ..

Guest Feb 18, 2023

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