Ms. Smith bought 30 boxes of pencils in the beginning of the year. Each box cost $2.15 including tax. 6/15 of the boxes she bought have been used. How much money did she spend on the remaining boxes?

$45

Step-by-step explanation:

In order to begin solving this problem, we need to first calculate the number of remaining (unused) boxes. We do this by multiplying the total number of boxes by the percentage of boxes remaining. Since Mr. Smith used 6/15 of the boxes we know that there are 9/15 remaining (15-6 = 9). If we divide 9 by 15 we get 0.60 which is the percentage of remaining boxes in decimal form. Now we simply multiply this by the total initial number of boxes

30 * 0.60 = 18 remaining boxes

Now that we know how many unused boxes there are, we simply multiply this number by the cost of each box.

18 * $2.15 = $45

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

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