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Step2247 [10]
3 years ago
12

Ursula Works At A Print Shop. She Uses A Printer That Can Print 12 Pages Per Minute. Yesterday She Started Printing Flyers For A

n Order. Today At 8 A.M. She Continued Working On The Order, And By 9 A.M. She Had 420 Flyers For The Order Completed. If The Job Was For 1500 Pages, At What Time Was It Finished?
Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

10:30 am.

Step-by-step explanation:

We have been given that Ursula uses a printer that can print 12 pages per minute.

Ursula started printing flyer for an order yesterday. Today at 8 am she continued working on the order, and by 9 a.m. she had 420 flyers for the order completed. The order was to print 1500 pages.

Let us find the number of pages left to print.

\text{Number of the pages left to print}=1500-420

\text{Number of the pages left to print}=1080

To find the time it will take to print 1080 pages we will divide number of pages left to print by number of pages printed per minute.

\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{\frac{\text{12 pages}}{\text{minute}}}}

\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{12}\times \frac{\text{minute}}{\text{page}}}

\text{Time it will take to print 1080 pages}=90\text{ minutes}

90 minutes will be 1.5 hours , so 1.5 hours after 9 am will be 10:30 am. Therefore, the job was finished at 10:30 am.

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Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

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\sf \longrightarrow 2y + 4x = 12 \\

\sf \longrightarrow 4x + 2y = 12

Firstly convert this into slope intercept form , to find out the slope of the line.

\sf \longrightarrow 2y = -4x +12\\

\sf \longrightarrow y =\dfrac{-4x+12}{2}\\

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\sf \longrightarrow \red{ y = -2x + 6 }

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Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

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Now on substituting the respective values we have,

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\sf \longrightarrow 2y -2=x-8\\

\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}

5 0
3 years ago
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