All Questions ⁺⁰232565 Questions

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+579

Decimals

Express 0.\overline{2123} as a base 10 fraction in reduced form.

NotThatSmart ●

Hi6942O Jun 14, 2024

0

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1

+388

Number Theory

Compute A710_{16} + 51_{16} + B8AE_{16} in base 16.

siIviajendeukie Jun 14, 2024

0

1

1

+388

Number Theory

Compute 221_3 + 122_3 + 202_3 + 110_3 in base 3.

siIviajendeukie Jun 14, 2024

0

2

0

+1163

Base arithmetic

Compute 25_6 + 54_6 + 512_6 + 401_6 in base 6.

blackpanther Jun 14, 2024

0

2

0

+1163

Base arithmetic

Compute 35A8_{11} * 2751_{11} * A04_{11}. Give your answer as a base 11 integer.

blackpanther Jun 14, 2024

0

2

0

+1163

Base arithmetic

Compute 11_2 + 110_2 + 1111_2 + 11111_2 + 1101_2 + 10100_2. Give your answer as a base 2 integer.

blackpanther Jun 14, 2024

0

2

0

+1163

Base arithmetic

Compute 2A31_{12} * B75_{12} * 88_{12}. Give your answer as a base 12 integer.

blackpanther Jun 14, 2024

0

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1

+1163

Base arithmetic

Compute 357_8 * 223_8 * 11_8. Give your answer as a base 8 integer.

blackpanther Jun 14, 2024

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1

+1163

Base arithmetic

Find the smallest positive integer B so that when we express the decimal number 99 as a base B number, we still get a 2-digit number.

blackpanther Jun 14, 2024

-1

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1

+1161

Counting

In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters read more ..

ABJeIIy Jun 14, 2024

-1

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1

+1161

Expected value

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have an 8 on them.
a) What is the expected value of the number shown when we draw a single slip of paper?
b) What is read more ..

ABJeIIy Jun 14, 2024

0

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1

+536

Geometry

For what value of $c$ will the circle with equation $x^2 - 10x + y^2 + 10y + c = 0$ have a radius of length 1?

learnmgcat Jun 14, 2024

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1

+536

Geometry

What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?

learnmgcat Jun 14, 2024

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1

1

+536

Number Theory

The product of two positive integers minus their sum is 39. The integers are relatively prime, and each is less than 2. What is the sum of the two integers?

learnmgcat Jun 14, 2024

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1

+536

Number Theory

What is the greatest prime factor of the sum of the arithmetic sequence 1 + 2 + 3?

learnmgcat Jun 14, 2024

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1

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+1163

Geometry

The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XY = 15$ and $WY = 10,$ find $WX.$

blackpanther Jun 14, 2024

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1

+1163

Geometry

Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.

blackpanther Jun 14, 2024

Jun 13, 2024

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2

+1163

help with geometry

The interior angles of a polygon form an arithmetic sequence. The difference between the largest angle and smallest angle is $56^\circ$. If the polygon has $3$ sides, then find the smallest angle, in degrees.

blackpanther Jun 13, 2024

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1

+44

ASAP!

Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

NotThatSmart ●

BRAINBOLT Jun 13, 2024

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1

+44

Question

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/5 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

NotThatSmart ●

BRAINBOLT Jun 13, 2024

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+536

Geometry

In parallelogram EFGH, let M be the point on \overline{EF} such that FM:ME = 1:1, and let N be the point on \overline{EH} such that HN:NE = 1:1. Line segments \overline{FH} and \overline{GM} intersect at P, and line segments \overline{FH} and GN intersect read more ..

learnmgcat Jun 13, 2024

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2

+1704

Geometry

In square ABCD, P is on BC such that BP = 4 and PC = 1, and Q is on line CD such that DQ = 2 and QC = 3. Find sin angle PAQ.

LiIIiam0216 Jun 13, 2024

-1

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1

+1704

Geometry

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?

LiIIiam0216 Jun 13, 2024

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+1704

Geometry

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

LiIIiam0216 Jun 13, 2024

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+1704

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

LiIIiam0216 Jun 13, 2024

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