Paul's bathtub is clogged he has to empty 30 liters of water by hand. Paul has a 3-liter, a 4-liter, and a 5-liter bucket. if Paul carries two buckets each trip, what combinations of sizes allow him to empty the bathtub in exactly four trips?

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Answer 1

Answer: Sorry dont know, any thing else you need help with?

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Original price $110 new price$96. What is the percent change?

When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 4? Express your answer in simplest form

Answers

The correct answer for the question that is being presented above is this one: "2/6 or 1/3".

P(A) = The Number Of Ways Event A Can Occur / The total number Of Possible Outcomes
There are 2 possible sides that is greater than 4 which is 5 & 6.
The total number of possible outcomes is 6.

P(A) = 2 / 6 = 1 / 3.

Find the distance from the point $(6, 4)$ to the line $y=x+4$ .

Answers

Answer:

$\large \boxed{3√(2)}$

Step-by-step explanation:

1. Express the line in standard form.

ax + by + c = 0

$\begin{array}{rcl}y & = & x + 4\n-x + y - 4 & = & 0\n\end{array}$

2. Calculate the distance

The formula for the distance d from a point (x, y) and the line is:

$d = \frac{|ax + by + c|}{\sqrt{a^(2) + b^(2)}}$

Insert the values: a = -1; b = 1; c = -4; x = 6; y = 4

$\begin{array}{rcl}d &= &\frac{|(-1)(6) + 1*4 + (-4)|}{\sqrt{(-1)^(2) + 1^(2)}}\n\n& = & (|-6 + 4 - 4|)/(√(1 + 1))\n\n& = & (|-6|)/(√(2))\n\n& = &(6)/(√(2))\n\n& = & (3*√(2)*√(2))/(√(2))\n\n& = & \mathbf{3{√(2)}}\end{array}\n\text{The distance from the point to the line is $\large \boxed{\mathbf{3√(2)}}$}$

Hey!

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First, we need to find the second coordinate.

$\text{We know that the slope is 1 and the y-intercept is 4.}\n\text{We use}~(1 - 4)/(x - 6) = 1~\text{to solve for x.}\n\text{We can simplify this to}~(-3)/(x-6)\n\text{Now we know that whatever x subtracts to 6 we get -3 to get a slope of 1.}\n\text{After solving we can use 3 for x.}\n\text{We subsitute for x and end of getting}~(-3)/(-3)~\text{which equals 1.}\n\text{The second point is (3, 4)}$

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Second, we need to find the distance between both points.

$d = √((3 - 6)^2 + (1 - 4)^2) \nd = √((-3)^2 + (-3)^2) \nd = √(9+9) \nd = √(18) \n\text{We can simplify this using what we know about radicals.}\nd = 3√(2)$

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Hence, the answer is $3√(2)$ !

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Hope This Helped! Good Luck!

Angel has 4/8 yard of ribbon and Lynn has 3/4 yard of ribbon. Do Angel and Lynn have the same amount of ribbon? Shade the model to show how you found your answer. Explain your reasoning.

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Answer:

No they do not

Step-by-step explanation:

If you multiply 3/4 by two to make the denominator 8 the numerator is 6 which is greater.

What is the slope called if zero is on the numerator or top of the fraction?

Answers

Slope does not exist. A zero in the numerator means you have a horizontal line.

Peter and John went shopping and spent ratio 2:3 If Peter spent $500 how much did John spend?

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John spent a total of $750

Jrian"s plane was supposed to leave at 1:25. If he arrived one hour and 52 minutes early, what time did he arrive at the airport?

Answers

He arrived at 11:33
One hour earlier would be 12:25
52 minus 25 is 27
60 minus 27 is 33
So you get 11:33

11:27

First, 1:25 to 1:00 would be 25 minutes early. Therefore, you do 52 - 25 = 33. One hour and 33 minutes early now. Then, you do one hour before 1:00 which would be 12:00. Finally, you would do 60 - 33 because 12:00 is technically 12:60. 60 - 33 = 27. The answer is 11:27.

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