All Questions ⁺⁰235692 Questions

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6

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+1839

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 Aug 10, 2024

0

3

1

+17

algebra, please help asap!

At the office, mice vary inversely with cats, that is, mice = k/cats, for some value of k. When there are 3r-19 cats, there are 2r+1 mice, and when there are 6r-24 mice, there are r-3 cats. Find k.

its.sabriebrie Aug 10, 2024

0

4

1

+822

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 ..

gnistory Aug 10, 2024

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6

1

+38

HELP-This question is too confusing for me and my friends

Consider the complex numbers in the picture below:
[asy]
size(250);
import TrigMacros;
rr_cartesian_axes(-7,7,-7,7,complexplane=true, usegrid = false);
pair O, SS, T, V, U, WW;<#> O = (0,0);<#> WW = dir(65);<#> V read more ..

JRFPLSHelp Aug 10, 2024

0

3

1

+834

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?

eramsby1O1O Aug 10, 2024

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6

1

+834

Geometry

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

eramsby1O1O Aug 10, 2024

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6

1

+207

Coefficient

What's the coefficient of the x^2 y^4 term in the expansion of (x + y)*6*(3x - 2y)*(5x + y)^4?

BRAlNBOLT Aug 10, 2024

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1

1

+207

Coefficient

What's the coefficient of xy in the expansion of (3x + 3y + 3)^3?

BRAlNBOLT Aug 10, 2024

-2

16

1

+331

Geometry

A sphere is inscribed in a cone with height 3 and base radius 4. What is the ratio of the area of the sphere to the area of the cone?

Stanry Aug 10, 2024

-2

12

0

+331

Geometry

The measures of angles A and B are both positive, integer numbers of degrees. The measure of angle A is a multiple of the measure of angle B, and angles A and B add up to 11 degrees. How many measures are possible for angle A?

Stanry Aug 10, 2024

+1

5

10

+50

Hard math puzzles, only attempt if you dare!

I'll post the answers after 8 posts of attempts.
1. A 3 digit number is such that its tens digit is equal to the product of the other two digits which are prime. Also, the difference between its reverse and itself is 99. What is read more ..

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AUnVerifiedTaxPayer Aug 10, 2024

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3

1

+1222

Algebra

The second and fifth terms of an arithmetic sequence are 17 and 12, respectively. What is the eighth term?

learnmgcat Aug 10, 2024

0

8

0

+838

Geometry

Chords $\overline{AB}$ and $\overline{CD}$ of a circle meet at $P$. If $AP = 3 \cdot PB$, then what is $AB$?

magenta Aug 10, 2024

0

7

1

+838

Geometry

A semicircle is inscribed in triangle $XYZ$ so that its diameter lies on $\overline{YZ}$, and is tangent to the other two sides. If $XY = 10,$ $XZ = 10,$ and $YZ = 10 \sqrt{2},$ then find the area of the semicircle.

magenta Aug 10, 2024

0

11

0

+1839

Algebra

A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve 4p + 2 problems per hour. In fact, read more ..

ABJeIIy Aug 10, 2024

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4

1

+952

systems

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p read more ..

Hi6942O Aug 10, 2024

0

4

1

+838

Algebra

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive?

magenta Aug 10, 2024

0

9

1

+253

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does read more ..

jaekg Aug 10, 2024

0

4

1

+2653

Algebra

All members of our painting team paint at the same rate. If 20 members can paint a 2000 square foot wall in 40 minutes, then how long would it take the 20 members to paint a 6000 square foot wall, in minutes?

LiIIiam0216 Aug 10, 2024

0

10

0

+1443

Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% 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 read more ..

blackpanther Aug 10, 2024

-1

9

0

+207

Algebra

Let $f(x) = px + q$, where $p$ and $q$ are real numbers. Find $p+q$ if $f(f(f(x))) = 64x - 105 - 30x + 70 + 32x - 12$.

BRAlNBOLT Aug 10, 2024

0

3

0

+1839

Algebra help!

The function
f(x) = \frac{cx}{(4x - 5)(3x + 2)}
satisfies $f(f(x))=x$ for all real numbers $x\neq \frac{5}{4}$ and $x \neq -\frac{2}{3}$. Find $c$.

ABJeIIy Aug 10, 2024

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