All Questions ⁺⁰235722 Questions

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Algebra

Find all points (x,y) that are 5 units away from the point (2,7) and that lie on the line x + y = 13.

Hi6942O Oct 4, 2024

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7

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+952

Algebra

Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.

Hi6942O Oct 4, 2024

Oct 3, 2024

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6

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+637

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 $15$, it has the same three digits, in reverse order. What is $N$? (Express your answer in decim read more ..

siIviajendeukie Oct 3, 2024

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6

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+637

Number Theory

What are the first $5$ digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{3}$ is written in base $16$?

siIviajendeukie Oct 3, 2024

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1

+1439

Geometry

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

kittykat Oct 3, 2024

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4

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+1439

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

kittykat Oct 3, 2024

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+4

Please help!

There are two triangles satisfying and shown below:

The possible values of are and as shown in the picture read more ..

bestmathuser1999 Oct 3, 2024

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+38

:o Who can solve this? HARD MATH o: Thank you to ElectricPavlov and Melody for answering my question.

Find r and s if \(\sqrt[3]{r}+9\sqrt{s}=21\) and \(10\sqrt[3]{r}-\sqrt{s}=28\)

SuckAtMathPleaseHelp Oct 3, 2024

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+936

Geometry

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

Rangcr897 Oct 3, 2024

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+936

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid read more ..

Rangcr897 Oct 3, 2024

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7

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+936

Geometry

In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to BC, then find AC + BC + AB.

Rangcr897 Oct 3, 2024

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+952

Counting

Joanna has six beads that she wants to assemble into a bracelet. Four of the beads have the same color, and the other two all have different colors. In how many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical read more ..

Hi6942O Oct 3, 2024

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7

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+952

Counting

Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $2$ steps, how many different points could Franklin end up at?

Hi6942O Oct 3, 2024

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9

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+176

Counting

Let n be a positive integer, and let S = {1, 2, 3, ..., n}. Three subsets A, B, C of S are chosen at random.
(a) Find the probability that A contains all elements 1, 2, 3, ..., n.
(b) Find the probability that B contains read more ..

AUnVerifedTaxPayer Oct 3, 2024

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+1839

Algebra

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a+2b+3c+4d+5e=47
2a+3b+4c+5d=15
3a+4b+5c=34 read more ..

ABJeIIy Oct 3, 2024

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+1839

Algebra

For a certain value of $k$, the system
x + y + 3z &= 10, \\
6x + 4y + z &= 18 - 5y - x, \\
kx + 7z &= 8 - 14y
has no solutions. What is this value of $k$?

ABJeIIy Oct 3, 2024

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+38

Help this is hard if you solve this then you are smart.

f(a)=ax5+2. for example f(3)=3x5+2=17 evaluate f(10)

SuckAtMathPleaseHelp Oct 3, 2024

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+253

Algebra

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far read more ..

jaekg Oct 3, 2024

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8

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+253

Algebra

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $4$ days earlier. If the job needs to be completed $20$ days earlier, how many additional workers should be hired?

jaekg Oct 3, 2024

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