All Questions ⁺⁰234654 Questions

0

18

0

+251

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

fjeihqoO Apr 10, 2024

0

13

0

+251

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?

fjeihqoO Apr 10, 2024

0

8

1

+251

Probability

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

fjeihqoO Apr 10, 2024

0

17

0

+251

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?

fjeihqoO Apr 10, 2024

0

9

0

+251

Counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 \le 10
in nonnegative integers, where x_2 is even and x_5 is odd.

fjeihqoO Apr 10, 2024

+1

10

2

+51

xt to each other.

Find the number of ways of choosing three people in a circular table with 12 people, so that no two people are next to each other. Use this image: read more ..

fjeihqo0 Apr 10, 2024

0

10

2

+51

franklin on the coordinate plane

Bobby 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 12 steps, how many different points could Franklin end up at?

fjeihqo0 Apr 10, 2024

Apr 9, 2024

0

17

1

+1694

Algebra

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 ..

ABJeIIy Apr 9, 2024

0

14

1

+1694

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?

ABJeIIy Apr 9, 2024

0

13

1

+85

Geometry Problem

Please do not leave out steps while solving this problem

Akhaim1 Apr 9, 2024

0

19

1

+1694

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 ..

ABJeIIy Apr 9, 2024

0

13

1

+1694

Algebra

I have to paint one side of a wall. The wall is 12 meters tall and 120 meters long. Each gallon of paint covers 150 square feet. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons read more ..

ABJeIIy Apr 9, 2024

0

15

1

+1694

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?

ABJeIIy Apr 9, 2024

0

17

1

+1694

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 ..

ABJeIIy Apr 9, 2024

+1

17

1

+273

Arithmetic Sequences

Let be an arithmetic sequence. Let denote the sum of the first terms. If and then find

ABJelly Apr 9, 2024

+1

8

1

+273

Arithmetic Sequences

Let be an arithmetic sequence. If and , then find .

ABJelly Apr 9, 2024

+1

9

1

+273

Arithmetic Sequences

In a geometric sequence, the 23rd term is 16 and the 26th term is 12. What is the 32nd term?

ABJelly Apr 9, 2024

0

15

1

+1694

Algebra

Let a_1, a_2, a_3, \dots be an arithmetic sequence. Let $S_n$ denote the sum of the first $n$ terms. If $S_1 = \frac{1}{2}$ and $S_{2} = \frac{1}{2},$ then find $S_{15}.$

aboslutelydestroying ●

ABJeIIy Apr 9, 2024

0

9

2

+1694

Algebra

Laverne starts counting out loud by 5's. She starts with 2. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds 100, Shirley runs screaming from the room. What number does Laverne say that sends read more ..

ABJeIIy Apr 9, 2024

0

13

1

+1694

Series

Let a_1, a_2, a_3, \dots, a_8, a_9, a_{10} be an arithmetic sequence. If a_1 + a_3 + a_5 = 7 and a_2 + a_4 = 6, then find a_1.

ABJeIIy Apr 9, 2024

0

11

1

+1694

Algebra

If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4 +5t^2 - 4t + 18$?

ABJeIIy Apr 9, 2024

0

23

1

+1694

Algebra

If $s$ is a real number, then what is the smallest possible value of $2s^2 - 8s + 19 - 7s^2 - 8s + 20$?

ABJeIIy Apr 9, 2024

0

18

1

+1694

Algebra

What real value of $t$ produces the smallest value of the quadratic $t^2 -9t - 36 + 13t - 60$?

ABJeIIy Apr 9, 2024

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