All Questions ⁺⁰235552 Questions

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Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

ABJeIIy Apr 20, 2024

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22

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+1839

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

ABJeIIy Apr 20, 2024

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27

1

+1839

Counting

South High School offers only Chinese and Spanish. There are $5$ more students in Chinese than in Spanish, and every student takes at least one language. If there are a total of $12$ students in South High School, and $15$ students take only read more ..

ABJeIIy Apr 20, 2024

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20

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+1839

Counting

At my office, $4$ people own cats, $2$ people own dogs, and $5$ people own both cats and dogs. How many people own a cat or a dog?
(Remember that in mathematics, the word "or" is used in the inclusive sense. So if you own read more ..

ABJeIIy Apr 20, 2024

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31

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+1839

Counting

Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)

ABJeIIy Apr 20, 2024

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21

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+1839

Counting

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

ABJeIIy Apr 20, 2024

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14

2

+12

Geometry Help PLZ

A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point on the edge of the table (as shown below) has a distance of from one wall, and a distance of from the other wall. Find read more ..

jackg Apr 20, 2024

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31

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+1439

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 $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

kittykat Apr 20, 2024

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30

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+1439

Geometry

In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 3:5,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 2:5.$ Line segments $\overline{FH}$ and GN intersect at Q. Find PQ/FH.

kittykat Apr 20, 2024

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36

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+1439

Geometry

The area of a trapezoid is $80$. The length of one base is $4$ units greater than the other base, and the height of the trapezoid is $12$. Find the perimeter of the trapezoid.

kittykat Apr 20, 2024

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22

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+1439

Geometry

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

kittykat Apr 20, 2024

Apr 19, 2024

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30

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+1768

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

bader Apr 19, 2024

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23

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+1768

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

bader Apr 19, 2024

+1

25

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+1768

Algebra

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

bader Apr 19, 2024

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29

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+1768

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

bader Apr 19, 2024

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+1768

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

bader Apr 19, 2024

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34

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+1768

Algebra

In Linguistics $101,$ the ratio of the number of juniors to the number of seniors is $3:2$. When twelve more juniors join the class, and one senior drops the class, the ratio of the number of juniors to the number of seniors becomes $2:1$. How read more ..

bader Apr 19, 2024

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16

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+46

Please help! Thank you

Babette is thinking of a monic quadratic polynomial with real coefficients. She tells you that when she squares the roots of her quadratic, to form another monic quadratic with those squares as its roots, surprisingly, it is the same as the original. How read more ..

greenplanet2050 Apr 19, 2024

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21

2

+46

Please Help! Geometry

The vertices of a triangle are the points of intersection of the line y=-x-1, the line x=2, and the line y=2. Find the center of the circle passing through all three vertices. Enter the coordinates as an ordered pair.

greenplanet2050 Apr 19, 2024

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20

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+1768

Algebra

Find the ordered triple $(p,q,r)$ that satisfies the following system:
p - 2q &= 3 - 4p + 7q, \\
q - 2r &= -2 - 5q, \\
p + r &= 9 + 10q.

bader Apr 19, 2024

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29

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+1768

Algebra

A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, white marbles is $4:1:2:3$. If the bag contains $20$ marbles, then how many blue marbles are there?

bader Apr 19, 2024

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27

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+1768

Algebra

Real numbers a and b satisfy
a + ab^2 = 250ab + ab^3
a - ab^2 = 240ab - 50b^2
Enter all possible values of a, separated by commas.

bader Apr 19, 2024

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