All Questions ⁺⁰237697 Questions

0

63

0

+1855

Number Theory

Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 39y = 1,$ with the smallest possible positive value of $x$.

ABJeIIy Oct 10, 2024

0

68

0

+977

Counting

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, so that at least one square is yellow, and at least one square read more ..

magenta Oct 10, 2024

0

68

0

+977

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 ..

magenta Oct 10, 2024

0

21

2

+21

pls helpppp

Dysoncloud Oct 10, 2024

0

36

0

+970

Number Theory

Fill in each blank with a single digit.
\frac{2}{131} = 0. _ _ _ _ _ _ _ _ _ _

gnistory Oct 10, 2024

0

67

0

+970

Number Theory

Find the smallest positive integer $B$ so that when we express the decimal number $582$ as a base $B$ number, we still get a $2$-digit number.

gnistory Oct 10, 2024

0

54

1

+970

Number Theory

How many bases $b \ge 2$ are there such that $100_b + 1_b$ is prime?

gnistory Oct 10, 2024

0

63

0

+608

need help

Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

onyuIee Oct 10, 2024

0

54

0

+608

help me

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 1$, and $PR =1$, read more ..

onyuIee Oct 10, 2024

0

56

0

+608

plz help

In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 8$, $SU = 8$, $TU = 8$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$,
<read more ..

onyuIee Oct 10, 2024

0

52

1

+343

need help

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?

jaekg Oct 10, 2024

0

40

2

+343

help geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

jaekg Oct 10, 2024

0

58

2

+38

Algebra?

My Skibidi Team called The Sigma's won 2/9 of its games this seasons. If we lost 15 more games than we won, how many games did we play this season?????

SuckAtMathPleaseHelp Oct 10, 2024

+1

40

1

+5

stuck here pls help

I drove to the beach at a rate of 60 miles per hour. If I had driven at a rate of 40 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive

helmetless21 Oct 10, 2024

0

60

1

+1285

Geometry

In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below. If $\angle EFH = 30^\circ$ and $\angle MHX = 60^\circ,$ then find $\angle XHG,$ in degrees.

AnswerscorrectIy Oct 10, 2024

0

54

1

+1285

Geometry

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

AnswerscorrectIy Oct 10, 2024

0

54

1

+1285

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.

AnswerscorrectIy Oct 10, 2024

0

46

1

+850

Counting

How many solutions are there to the equation
u + v + w + x + y + z = 2,
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $1?$

cooIcooIcooI17 Oct 10, 2024

0

60

0

+850

Counting

Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly $7$ chocolates?

cooIcooIcooI17 Oct 10, 2024

Oct 9, 2024

0

65

0

+850

Counting

Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends, if every friend gets at least one sticker.

cooIcooIcooI17 Oct 9, 2024

0

37

1

+1004

Algebra

What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates read more ..

Hi6942O Oct 9, 2024

0

1

37

1

+8

Number System

When the product (3N* + 8N - 3)(pN - 1) is divided by (N + 1), the remainder is 24. What is the remainder when pao is divided by 10?

drax567 Oct 9, 2024

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