All Questions ⁺⁰236048 Questions

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+1310

Algebra

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.

learnmgcat Oct 29, 2024

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8

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+862

Geometry

Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-12)$ and $O(2,8)$ (that is, so that $PA=PO$). Express your answer as an ordered pair $(a,b)$.

magenta Oct 29, 2024

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6

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+862

Geometry

In the diagram, the four points have coordinates $A(0,1)$, $B(1,3)$, $C(5,2)$, and $D(4.5,0)$. What is the area of quadrilateral $ABCD$?

magenta Oct 29, 2024

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4

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+976

Counting

Starting with the A and moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC read more ..

Hi6942O Oct 29, 2024

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1

+893

Number Theory

Jon teaches a fourth grade class at an elementary school where class sizes are always at least 10 students and at most 15. One day Jon decides that he wants to arrange the students in their desks in a rectangular grid with no gaps. Unfortunately read more ..

AnswerscorrectIy Oct 29, 2024

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6

1

+36

Number Theory

In the triangular array below, different prime numbers p1, p2, .... pn are written in the bottom row. Then in each box, we write the product of the two numbers below it. The number K=p1^a1,p2^a2,pn^an is written in the box at read more ..

HelpIneedHelp Oct 29, 2024

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6

2

+36

Number Theory

Carl writes eight consecutive three-digit numbers on a blackboard. Each number that Carl writes is divisible by its units digit (none of which are equal to 0). What is the sum of the digits of the smallest number that Carl wrote?

HelpIneedHelp Oct 29, 2024

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+36

Number Theory

How many three-digit numbers are equal to five times the product of their digits?

HelpIneedHelp Oct 29, 2024

Oct 28, 2024

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+948

Counting

A baking club wants to form an executive committee. There are $15$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people, not including Mark?

Rangcr897 Oct 28, 2024

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6

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+948

Counting

In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?

Rangcr897 Oct 28, 2024

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3

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+948

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?

Rangcr897 Oct 28, 2024

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6

2

+24

Can someone please help?

Hi I need help solving the problem:
Find all the roots of the polynomial

crimefightingvigil Oct 28, 2024

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7

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+868

Algebra

Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

eramsby1O1O Oct 28, 2024

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3

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+868

Algebra

Find the minimum value of 9^x - 2 \cdot 3^x + 1 over all real numbers x.

eramsby1O1O Oct 28, 2024

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3

0

+868

Algebra

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/2 of the total load her four trucks combined can carry. Based on these read more ..

eramsby1O1O Oct 28, 2024

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3

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+868

Algebra

Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.

eramsby1O1O Oct 28, 2024

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7

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+893

Algebra

Expand (x + 2)(3x^2 + 12) + (x - 2).

AnswerscorrectIy Oct 28, 2024

+1

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1

+5

slope

-4x +6y=16 in slope intercpt

emmagin Oct 28, 2024

+1

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+310

Number Theory

What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?

MEMEG0D Oct 28, 2024

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3

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+310

Number Theory

Let $N$ be a positive integer. The number $N$ has three digits when expressed in base $7$. When the number $N$ is expressed in base $12$, it has the same three digits, in reverse order. What is $N$? (Express your answer in decim read more ..

MEMEG0D Oct 28, 2024

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4

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+310

Number Theory

What is the largest positive integer $n$ such that $1457$, $1797$, $709$, $15$, $24$, $197$, $428$ all leave the same remainder when divided by $n$?

MEMEG0D Oct 28, 2024

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4

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+310

Number Theory

A four-digit hexadecimal integer is written on a napkin such that the units digit is illegible. The first three digits are $7$, $D$, and $3$. If the integer is a multiple of $25_{10}$, what is the units digit?

MEMEG0D Oct 28, 2024

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3

2

+23

Compute the length of the segment tangent from the origin to the circle that passes through the points (3, 4), (6, 8) and (5, 13).

Compute the length of the segment tangent from the origin to the circle that passes through the points (3, 4), (6, 8) and (5, 13).
Can anyone draw a graph for me so I can understand? Please explain the solution thoroughly. Don't use ChatGPT. Moderators read more ..

Halplz Oct 28, 2024

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