All Questions ⁺⁰235709 Questions

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+1678

rates

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 ..

wiseowl Oct 28, 2023

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60

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+1678

help help

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

wiseowl Oct 28, 2023

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40

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+1678

help algebra needed

All members of our painting team paint at the same rate. If $50$ members can paint a $3600$ square foot wall in $20$ minutes, then how long would it take for $25$ members to paint a $4000$ square foot wall, in minutes?

wiseowl Oct 28, 2023

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61

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+1678

help with painting question

All members of our painting team paint at the same rate. If $40$ members can paint a $100$ square foot wall in $50$ minutes, then how long would it take the $40$ members to paint a $480$ square foot wall, in minutes?

wiseowl Oct 28, 2023

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55

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+1678

help algebra

All members of our painting team paint at the same rate. If $45$ members can paint a specific wall in $60$ minutes, then how long would it take $12$ members to paint the same wall, in minutes?

wiseowl Oct 28, 2023

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27

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+1678

help meee

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?

wiseowl Oct 28, 2023

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52

0

+1678

proportion

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 ..

wiseowl Oct 28, 2023

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19

1

+1678

rates

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

wiseowl Oct 28, 2023

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58

1

+4

Question

How many solutions does the equation have?

BruvInHaksln Oct 28, 2023

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51

1

+68

Geometry :3

In traingle ABC, point X is on side BC such that AX=13, BX=10, and CX=4, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

LearningCat Oct 28, 2023

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38

1

+68

geometry problem halp :3

Let R be the circle centered at (0,0) with radius 10. The lines x=6 and y=4 divide R into four regions R1, R2, R3 , and R4. Let R_i denote the area of region R_i If R1>R2>R3>R4,
then find R1-R2-R read more ..

LearningCat Oct 28, 2023

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53

1

+1678

help me plz

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 ..

wiseowl Oct 28, 2023

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62

0

+1678

algebra question

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 ..

wiseowl Oct 28, 2023

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37

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+1678

need help with system

Find the ordered triple $(p,q,r)$ that satisfies the following system:
\begin{align*}
p - 2q &= 3 - 4p + 7q, \\
q - 2r &= -2 - 5q, \\
p + r &= 9 + 10q.<#> \end{align*}

wiseowl Oct 28, 2023

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57

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+1678

ratios

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?

wiseowl Oct 28, 2023

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61

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+1678

need help

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.

wiseowl Oct 28, 2023

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64

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+1678

hard system

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48a^2 b$ and $a^2 b^5 = 6a^3 b$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

wiseowl Oct 28, 2023

0

56

0

+1678

digits

Sophie's favorite (positive) number is a two-digit number. If she reverses the digits, the result is $36$ less than her favorite number. Also, one digit is $3$ less than double the other digit. What is Sophie's favorite number? read more ..

wiseowl Oct 28, 2023

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26

1

+1678

age problem

Seven years ago, Grogg's dad was $12$ times as old as Grogg. Three years ago, Grogg's dad was $7$ times as old as Grogg. How old is Grogg's dad currently?

wiseowl Oct 28, 2023

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57

1

+1678

Algebra

For certain values of k and m, the system
3a + 2b = 2 - 7a + 5b
6a + 2b = k - 5a + mb + 17 - 11a + 18b
has infinitely many solutions (a,b). What are k and m? read more ..

wiseowl Oct 28, 2023

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62

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+1678

system

Find the ordered pair (s,t) that satisfies the system
s/2 + 5t = 3 + 3s - 6
3t - 6s = 9 + 2s + 7t

wiseowl Oct 28, 2023

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35

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+1678

system

Solve for (x,y) in the system of equations
2x + y = -7
x = 4 + 2y - 3x + 1

wiseowl Oct 28, 2023

0

57

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+1364

need help

Compute the unique positive integer $n$ such that
\[2 \cdot 2^2 + 3 \cdot 2^3 + 4 \cdot 2^4 + \dots + n \cdot 2^n = 32.\]

sandwich Oct 28, 2023

0

59

0

+1364

series

Find the value of $k$ so that
\[3 + \frac{3 + k}{4^2} + \frac{3 + 2k}{4^4} + \frac{3 + 4k}{4^6} + \dotsb = 8.\]

sandwich Oct 28, 2023

0

58

0

+1364

help with series

Let $r$ be the positive real solution to $x^3 + \frac{2}{5} x - 1 = x^3 - 3x + 7.$ Find the exact numerical value of
\[r^2 + 2r^5 + 3r^8 + 4r^{11} + \dotsb.\]

sandwich Oct 28, 2023

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