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aivan3 [116]
3 years ago
13

a nurse worked from 8:15 am until 11:30 am and 12:30 am until 4:15 pm. estimate the total number of hours worked

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
Ok so lets work it out ( answer at the bottom in bold) 

11:30 - 8 :15 = 3:15 ( 3 hours and 1 5 minutes) 
and for the next part its a little trickky cause we are going from am to pm but we can work it out
so we know it will end in 45 because it takes 30 + 30 = 1 hour and it says 4: 15 so we know we need a 15 and 15 + 30= 45 
so now we will put 45 to the side but we now instead of having 12:30 we have 1 :00 pm and 4:00 pm
4:00 - 1 : 00 = 3 pm and now we take the 45 and add it to the 3:00 pm so 3:00 + 45 = 3:45 pm
and now we add our 2 end results 
3 :45  + 3:15 = 7 hours
The nurse worked 7 hours


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Answer:

\huge{ \fbox{ \tt{x =  - 2}}}

Step-by-step explanation:

\underline{ \underline{ \mathfrak{Let's \: solve}}} :

\star{ \sf{ \:  \: 4x - 8 = 7x - 2}}

\text{Step \: 1} :  \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}

\mapsto{ \sf{4x - 7x - 8 =  - 2}}

\text{Step \: 2} :  \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}

\mapsto{ \sf{4x - 7x =  - 2 + 8}}

\text{Step \: 3} :  \sf{Collect \: like \: terms}

\sf{Like \: terms \: are \: those \: which \: have \: same \: base}

\mapsto{ \sf{ - 3x =  - 2 + 8}}

\text{Step \: 4} :  \sf{Calculate}

\underline{ \text{Remember!}} :  \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}

\mapsto{ \sf{ - 3x =  6}}

\text{Step \: 4} :  \sf{Divide \: both \: sides \: by \:  - 3}

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\text{ Step \: 4} :  \sf{Calculate}

\mapsto{ \sf{x =  - 2}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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