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3 years ago

a hose fills a hot tub at a rate of 3.14 gallons per minute. How many hours will it take to fill a 329 gallon tub?

1 answer:

5 0

There are 60 minutes in an hour, so to find the hourly rate, you would multiply 3.14 by 60, which gives us 188.4. If the rate is 188.4 gallons an hour, then we can divide 329 by 188.4. The full number would be 1.7462845011, but you can simplify that. If you need the minimum number of precise hours needed, then it would be 2. If you are allowed a small amount of error through simplifying your decimals, then you could say about 1.7.

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Solve x2 – 4x – 9 = 29 for x.

Irina-Kira [14]

$x^2 - 4x - 9 = 29 \\ x^2 - 4x - 9 - 29 = 0 \\ x^2 - 4x - 38 = 0 \\ x= \frac{-b \pm \sqrt{ b^{2} -4ac} }{2a} 
$ ; where a = 1, b = -4 and c = -38
$x= \frac{-(-4) \pm 
\sqrt{ 
(-4)^{2} -4 \times 1 \times -38} }{2 \times 1} \\ = \frac{4 \pm \sqrt{ 16 +152} }{2} \\ =\frac{4 \pm \sqrt{ 168} }{2} \\ =\frac{4 \pm 
2\sqrt{42} }{2} \\ 
=2+\sqrt{42} \ or \ 2-\sqrt{42}\\=8.48 \ or \ -4.48$

8 0

3 years ago

Read 2 more answers

Find the product of 8 and 6

motikmotik

To find the product of 8 and 6 work out 8 multiplied by 6 which is 48

8 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

3 years ago

How do I find the direction of the rotation and the magnitude

Eddi Din [679]

I dont know I would.ask the teacher

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%2B%7Cx%2B1%7C%5C%20%5Ctextgreater%20%5C%200" id="TexFormula1" title="5x^{2}+|x+1|

Pavel [41]

5x² + |x+1| > 0
5x² + x + 1 > 0
x+1 > 0 because it came from absolute
5x² > 0 because it’s squared

When you try a number you should put it in the original equality
5x² + |x+1|

7 0

2 years ago