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Pepsi [2]
3 years ago
6

Ann has an empty cup and add 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how m

any seconds will they have the same amount of water
Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Answer:

4 seconds

Step-by-step explanation:

Given

Ann has an empty cup and add 1 ounce of water per second

let the number of seconds required to fill the cup be x

let the total be y

in x seconds Ann will have x ounces of water in the cup.

so the total amount of water in Ann's cup will be

y=x-----------1

Bob has 12 ounces of water and drinks 2 ounces per second

also, let the number of seconds required to empty the cup be x

let the total be y

y= 12-2x--------------2

Step two:

equate the two equations above and solve for x

x=12-2x

collect like terms

x+2x=12\\\\3x=12

divide both sides by 3

x=12/3\\\\x= 4 seconds

Therefore, after about 4 seconds Ann and Bob's cup will have the same amount of water

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3 years ago
Convert the complex number z = 4 - 10i from rectangular form to polar form.​
mrs_skeptik [129]

ANSWER

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

EXPLANATION

The polar form of a complex number ,

z = x + yi

is given by:

z = r( \cos( \theta)  + i \sin( \theta) )

where

r =  \sqrt{ {x}^{2} +  {y}^{2}  }

The given complex number is:

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r =  \sqrt{16  + 100}

r =  \sqrt{116}  = 2 \sqrt{29}

And

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\theta=  \tan^{ - 1}(\frac{  - 10}{4} )

\theta=  292 \degree

Hence the polar form is :

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3 years ago
What is the value of x ​
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sergey [27]

Answer:

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Step-by-step explanation:

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