A backyard swimming pool has two fill pipes and a drain pipe. The pool fills in 9 hours with the first fill pipe. Draining the pool with the drain pipe takes 1 hour longer than filling the pool with the second fill pipe. If all three pipes are open at once, the pool can be filled in 8 hours. How many hours would draining the pool take with the two fill pipes closed?

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]

[tex]5y = - 3x + 15[/tex]

Now solve for y by dividing each term by 5.

[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]

Now simplify.

[tex]y = \frac{ - 3}{5} x + 3[/tex]

The slope is

[tex] - \frac{3}{5} [/tex]

Answer:

(5)2 x (a)2

Step-by-step explanation:

Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.

The value of p that makes the given equation true is equal to: B. p = -5

Given the following equation:

To find a value of p that makes the given equation true:

In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.

Rearranging the equation by collecting like terms, we have:

[tex]3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}[/tex]

p = -5

Find more information: https://brainly.com/question/3600420

Answer:

1 . 25 or 5/4 as a fraction

Step-by-step explanation: Hope this helps mark me branliest plssss;)

Answer:

2*5/8 = 5/8 + 5/8

So the answer is 1 and 1/4 :)

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

Answer:

In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Verify if the ratio of corresponding sides is same:

Since the ratios are same the triangles are similar

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

Answer:

To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Step-by-step explanation:

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll help you with your problem today. I hope you are having a nice day!

The Function

First of all, to figure out the function and how it will work, with that, we can see that it is a parabola, a parabola is a function which looks like a curve in which the multiplication of the [tex]x[/tex] cation, when more smaller, is more wider.

Parabola's also have two ways they go, them being upwards and downwards which in the quadratic formula are figured out by the a catition.

[tex]ax^2+bx+c=0[/tex]

Solving

So, we know to find for [tex]f(1)[/tex] we have to find what is y when x is 1. To solve for that, we can look at the function's graph and see that when x is one, y is 5.

Solution

To solve for this, we can usually just look at the graph to see where the point where we need to find is, but, we also might have to graph the equation if the graph is not already given.

So our answer would be [tex]y=5[/tex] and/or [tex](1,5)[/tex]

Cheers!

Answer:

Well thousands place is in this case 0 here in the 90,891

Now we look at the digit to the right which is suppose to be 5 or above in order to round up or 4 or below to stay the same.

91,000 is the answer

First of all, 4.7 * 2.9 = 13.63, so I think a mistake has occurred there and second, comma does not come here because this is not a big number, it is a small number. If you meant a dot instead. it would placed in the middle AKA 13.63

Would appreciate brainliest <3

Answer:

i dont know

Step-by-step explanation:

Answer:

$243

Step-by-step explanation:

Answer:

I don't know just guess sorry

Answer:

d>-7

Step-by-step explanation:

Answer:

1264

Step-by-step explanation:

is the answer...........

Answer:

ion

Step-by-step explanation:srry

Answer:

yeah sure

Step-by-step explanation:

all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).

use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.

then you will find the y or k then make a table of values and put the vertex of the x and y that you found.

then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.

then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.

hope this helps

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

https://brainly.com/question/11206462

Answer:

3080 is the answer ^

Step-by-step explanation:

Answer:

3/15 or 0.2

Step-by-step explanation:

You would need to subtract as it is asking for amount MORE won.

2/3 - 7/15

Make the denominator the same in order to subtract.

= 10/15 - 7/15

Subtract.

= 3/15

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Answer:

$123.62

Step-by-step explanation:

85.10 + 23.95 + 8.47 = 117.52

117.52 + 100 + 2.50 = 220.02

$343.64 - $220.02 = $123.62

Answer:

Step-by-step explanation:

(1 - i) / (sqrt(3 + 4i)

= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]

=> multiply and divide by conjugate of denominator

= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]

= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]

= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]

= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]

= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]