13. a contractor buys 8.2 square feet of sheet metal.
she used 2.1 square feet so far and has $183
worth of sheet metal remaining. write and solve
an equation to find out how much sheet metal
costs per square foot.

 is the required equation.

The  Per sq ft of sheet costs $ 27.31.

Step-by-step explanation:

The total amount of sheet purchased =  8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the  cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or,

or  x = $27.31

Hence, the  Per sq ft of sheet costs $ 27.31.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

283 square feet

step-by-step explanation:

good luck