All Questions ⁺⁰236043 Questions

0

6

1

+868

Geometry

The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.

eramsby1O1O Oct 22, 2024

0

4

1

+868

Geometry

In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $90^\circ.$ Find the area of the rhombus.

eramsby1O1O Oct 22, 2024

+1

3

1

+36

Help

1. ) Ava, Lucero, and Vinh are playing a game involving a single -sided die. The rules are as follows:
Ava rolls first. If she rolls a 1, 2 or 3 then she wins.
Otherwise, Lucero rolls next. If Lucero rolls a 4 or a 5 then she read more ..

HelpIneedHelp Oct 22, 2024

0

4

1

+862

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 ..

magenta Oct 22, 2024

0

4

0

+862

Algebra

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

magenta Oct 22, 2024

0

5

0

+862

Algebra

Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.

magenta Oct 22, 2024

0

4

0

+862

Algebra

Let
f(x) = \left\lfloor\frac{2 - 3x}{3x + 1}\right\rfloor.
Evaluate f(1)+f(2) + f(3) + \dots + f(999)+f(1000). (This sum has 1000 terms, one for the result when we input each integer from 1 to 1000 into f.)

magenta Oct 22, 2024

0

3

0

+182

Counting

Find the coefficient of $y^4$ in the expansion of (2y - 5)*6*(4y + 7)^8.

AUnVerifedTaxPayer Oct 22, 2024

0

6

0

+976

Counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 \le 1
in nonnegative integers.

Hi6942O Oct 22, 2024

0

6

1

+976

Counting

In how many ways can you distribute $8$ indistinguishable balls among $6$ distinguishable boxes, if at least three of the boxes must be empty?

Hi6942O Oct 22, 2024

0

9

0

+976

Counting

There is a group of five children, where two of the children are twins. In how many ways can I distribute $12$ identical pieces of candy to the children, if the twins must get an equal amount of candy?

Hi6942O Oct 22, 2024

0

7

0

+976

Counting

How many solutions are there to the equation
u + v + w + x + y + z = 6
where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $8$ and $y$ is even?

Hi6942O Oct 22, 2024

0

7

0

+976

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 at least $6$ chocolates?

Hi6942O Oct 22, 2024

0

8

0

+606

Counting

Fill in the blanks with integers to get an identity.
(n - k + 2)^2 = __ n^2 + ___ k^2 + ___ n + ___k + ___ nk + ___

cooIcooIcooI17 Oct 22, 2024

0

10

0

+606

Counting

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $7$ on them and the other two have a $9$ on them.
How many $2$'s do we have to add before the expected value is less than $1$?

cooIcooIcooI17 Oct 22, 2024

0

5

0

+606

Counting

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $7$ on them and the other two have a $9$ on them.
How many $2$'s do we have to add to make the expected value equal to $10$?

cooIcooIcooI17 Oct 22, 2024

0

6

0

+606

Counting

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $7$ on them and the other two have a $9$ on them.
What is the expected value of the number shown if we add two additional $2$'s (instead of just one) to read more ..

cooIcooIcooI17 Oct 22, 2024

0

6

0

+606

Counting

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $7$ on them and the other two have a $9$ on them.
What is the expected value of the number shown if we add one additional $2$ to the bag?

cooIcooIcooI17 Oct 22, 2024

0

7

0

+606

Counting

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $7$ on them and the other two have a $9$ on them.
What is the expected value of the number shown when we draw a single slip of paper?

cooIcooIcooI17 Oct 22, 2024

0

4

0

+1310

Algebra

Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).

learnmgcat Oct 22, 2024

0

5

0

+1310

Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours read more ..

learnmgcat Oct 22, 2024

0

4

0

+1310

Algebra

In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire. read more ..

learnmgcat Oct 22, 2024

0

7

0

+1310

Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

learnmgcat Oct 22, 2024

0

6

0

+1310

Algebra

All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?

learnmgcat Oct 22, 2024

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