All Questions ⁺⁰230804 Questions

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Algebra

Arrange the following numbers in increasing order (smallest first, biggest last):
A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2 read more ..

siIviajendeukie Apr 17, 2024

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Algebra

The distance between the points $A$ and $B$ is $\sqrt{5}.$ If $A = (a,-1)$ and $B = (2,2a-7),$ then find the sum of all possible values of $a.$

siIviajendeukie Apr 17, 2024

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Counting

Find the number of ways that Magnus can give out 12 identical stickers to 8 of his friends. (Not everyone has to get a sticker.)
Find the number of ways that Magnus can give out 12 identical stickers to 8 of his friends, if every friend read more ..

siIviajendeukie Apr 17, 2024

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Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 95% water, by weight. After two days in the sun, the water content of the berries was only 90%, by weight. What was the total weight of the read more ..

siIviajendeukie Apr 17, 2024

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PLEASE HELP

In a 5 by 5 grid, each of the 25 small squares measures 2 cm by 2 cm and is shaded. Five unshaded circles are then placed on top of the grid as shown. The area of the visible shaded region can be written in the form A-Bpi square cm. What is the value read more ..

deper Apr 17, 2024

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+208

Please Help, Thank YOU if you try or help :)

The numbers , , , ... , , ... is a geometric sequence. If is three more than , and is seven more than , what is the value of ? Express your answer as a common fraction.

aboslutelydestroying Apr 17, 2024

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Please Help, Thank YOU if you try or help :)

A right circular cone is sliced into four pieces by planes parallel to its base, as shown in the figure. All of these pieces have the same height. What read more ..

aboslutelydestroying Apr 17, 2024

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Geometry

Let O be the origin. Points P and Q lie in the first quadrant. The slope of line segment OP is 7 and the slope of line segment is 10. If then compute the slope of line segment
Note: The point read more ..

siIviajendeukie Apr 17, 2024

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Geometry

A rectangle in the coordinate plane is shown below. A line with slope 1/3 splits this rectangle into two regions with equal area. What is the y-intercept of this line?
The rectangle is at (2,1), (2,-1), (-2,1), (-2,-1). read more ..

siIviajendeukie Apr 17, 2024

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Geometry

A line and a circle intersect at A and B as shown below. Find the distance between A and B.
The circle is x^2 + y^2 = 1, and the line is y = x.

siIviajendeukie Apr 17, 2024

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Algebra

Let x and y be real numbers. If x and y satisfy:
x^2 + y^2 = 4x - 18y + 25
then find the largest value of x and simpify giving your answer in exact form and radicals!

siIviajendeukie Apr 17, 2024

Apr 16, 2024

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Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If PQ = 36, PM = 22, read more ..

siIviajendeukie Apr 16, 2024

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Geometry

Find the circumradius of triangle ABC.

siIviajendeukie Apr 16, 2024

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+158

Geometry

Find the inradius of triangle ABC.

siIviajendeukie Apr 16, 2024

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Algebra

Points A, B, and c are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2+PC^2=3PQ^2 + k
If A = (4, -1), B = (8, 2), and C = (-7, 4), then find the constant k.
<read more ..

siIviajendeukie Apr 16, 2024

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+866

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

ABJeIIy Apr 16, 2024

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+14

Confusing question on a math test

The logo for a new company is a circle divided into 21 same-sized sectors. Three of the sectors are white, and the others are different colors.
The area of one of the white sectors is 13π/54 inches squared.
What is the radius of read more ..

FireflySky Apr 16, 2024

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+64

Solve for y

Let

Find the largest three-digit value of such that is an integer.
Letting y=f(x), we get that y(y+1)=x, and y(y+1) is a three-digit number.
Solve for y read more ..

SilviaJendeukie Apr 16, 2024

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Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

ABJeIIy Apr 16, 2024

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Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

ABJeIIy Apr 16, 2024

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Counting

Catherine rolls a standard 6-sided die six times. If the product of her rolls is 200, then how many different sequences of rolls could there have been? (The order of the rolls matters.)

ABJeIIy Apr 16, 2024

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Geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle PBA$, and $\angle ABC - \angle ACB = 24^\circ$. Find $\angle PBC$ in degrees.

ABJeIIy Apr 16, 2024

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Geometry

A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle? read more ..

ABJeIIy Apr 16, 2024

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Geometry

The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.

ABJeIIy Apr 16, 2024

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Geometry

Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.

ABJeIIy Apr 16, 2024

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