Penelope’s printing press promptly sails 5-cent pencils and 10-cent pens to the public. it sold 1000 writing utensils and took in $74.50 in sales. how many pens and how many pencils did penelope’s printing press sell?

Number of pens and pencils sold are 490 and 510 respectively.

Step-by-step explanation:

Let, number of pens = x and the number of pencils = y.

It is given that,

Cost of one pen = 10 cents = 0.1 dollar

Cost of one pencil = 5 cents = 0.05 dollar

As, the total number of writing utensils sold are 100. So, we have,

Also, the total sales is $74.50 gives,

Thus, the system of equations is,

x + y = 1000 .................................... (1)

0.1x + 0.05y = 74.50 .....................(2)

Multiply (1) by 0.1 and subtract both the equations, we get,

0.05y = 25.5 i.e. y= 510

So, x= 1000- 510 i.e. x= 490.

So, the number of pens and pencils sold are 490 and 510 respectively.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet