All Questions ⁺⁰238158 Questions

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I need help with

Kurt purchased 2 identical boxes of chocolates to share with his classmates. 7 people shared the first box equally and there were 3 chocolates remaining. The second box was shared by 5 students without any chocolate remaining. If there are more than 15 read more ..

sugabreaddoughman Dec 23, 2023

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141

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Please help thank you!

Brian and Rayan shared a bag of marbles. 1/6 of Brian's share was equal to 1/4 of Rayyan's marbles. Brian lost 42 of his marbles while Rayyan bought another 60 marbles. They then had an equal number of marbles.
(a) How many read more ..

sugabreaddoughman Dec 23, 2023

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Coordinate question

How do you do coordinates on this
Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible. read more ..

parmen Dec 23, 2023

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107

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Coordinates

A line and a circle intersect at A and B. Find the coordinates of the midpoint of \overline{AB}.
The ilne is y = 3x - 2, and the circle is (x - 4)^4 + (y - 5)^2 = 68.

parmen Dec 23, 2023

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135

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Rectangle

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

sandwich Dec 23, 2023

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81

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Geometry

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

parmen Dec 23, 2023

Dec 22, 2023

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109

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+1757

Triangle question

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$

parmen Dec 22, 2023

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126

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+1776

Hard Math problem

I have no idea here!!!!! Plz give me a hint!!!!!
What is the area of the part of the $xy$-plane within which $x^3 y^2 - x^2 y^2 - xy^4 + xy^3 \ge 0$ and $0 \le x \le y$?

bader Dec 22, 2023

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67

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Geometry

Can I get a hint?
A square has its vertices on the edges of a regular hexagon. Two of the edges of the square are parallel to two edges of the hexagon, as shown in the diagram. The sides of the hexagon have length 1.
What read more ..

bader Dec 22, 2023

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Help plz!

Help with tricky geometry please.
Triangle PQR is equilateral. A semicircle with center O is drawn with its diameter on PR so that one end is at P and the curved edge touches QR at X. The radius fo the semicircle is sqrt(3).
What read more ..

bader Dec 22, 2023

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32

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+27

Probabilty

In the diagram, the points are evenly spaced vertically and horizontally. A segment $AB$ is drawn using two of the points, as shown. Point $C$ is chosen to be one of the remaining $18$ points. For how many of these $18$ possible points is triangle $ABC$ read more ..

hellomeeee Dec 22, 2023

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Probability

I need help with this!
The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability read more ..

tomtom Dec 22, 2023

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+27

Help plz

A standard deck of cards contains 52 cards. These 52 cards are arranged in a circle, at random. Find the expected number of pairs of adjacent cards that are both Aces.
I have been unable to solve this problem for quite some time.
Plzzzz read more ..

hellomeeee Dec 22, 2023

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133

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+1944

Probability

Three cards are randomly drawn from a standard deck of $52$ cards, without replacement. Find the probability that the first card is a king, the second card is hearts, and the third card is red.

tomtom Dec 22, 2023

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123

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Counting

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. read more ..

tomtom Dec 22, 2023

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116

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+27

Help please! Thx

What is the smallest base-10 integer that can be represented as $12_a$ in one base and $21_b$ in another base, where $a$ and $b$ are any bases larger than 2?

hellomeeee Dec 22, 2023

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118

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Proability

Raina places the following balls into a bag. She draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 6 orange balls and 6 purple read more ..

tomtom Dec 22, 2023

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