All Questions ⁺⁰230440 Questions

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78

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Geometry

Help plz with geo

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Feb 1, 2023

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91

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Counting

Need help plz

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

Guest Feb 1, 2023

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75

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System

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

Guest Feb 1, 2023

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83

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Counting

Help how to count paths

Find the number of paths from A to I, if each step must be in a right-ward direction. (For example, one possible path is A C D E F G H I)

Guest Feb 1, 2023

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81

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System

I can't solve this system

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and a^3 - 3ab^2 = 673. Find a - b.

Guest Feb 1, 2023

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77

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Distributions

I need to know the number of ways

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 1, 2023

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94

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Probability question

Help I need help with 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 1, 2023

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88

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Counting

Plz help with counting need this

In the olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are skaters, including Americans, in how many ways can the medals read more ..

Guest Feb 1, 2023

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85

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Counting

Help i'm confused

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 1, 2023

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79

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Counting

Help I can't get this

At my office, 16 people own cats, people own dogs, and people own both cats and dogs. How many people own a cat or a dog?
read more ..

Guest Feb 1, 2023

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75

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Counting

Help how do I do rotations

At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements read more ..

Guest Feb 1, 2023

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79

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Counting

I have to count paths here

There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected number of paths that pass read more ..

Guest Feb 1, 2023

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90

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high school math

An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation ,C=65t+85, where t is the number read more ..

Guest Feb 1, 2023

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100

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Algebra

Help with the algebra problems

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is 50% magical syrup by volume read more ..

Guest Feb 1, 2023

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87

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Counting

How to count this

Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Feb 1, 2023

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90

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Probability

Help I need probability help

Valeria has three coins, each of which has a probability of 1/2 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second read more ..

Guest Feb 1, 2023

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86

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Counting

Pleez help

Find the number of ways of placing 4 balls in 5 boxes if the balls are indistinguishable and the boxes are distinguishable.

Guest Feb 1, 2023

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