7. If the length of the side of a table is 3 more than twice its width, what is the expression of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work

Step-by-step explanation:

Width =w

Length = 2w + 3

Perimeter = 2*(length +width)

                = 2*(2w +3 + w )

                 = 2*(3w + 3)

                = 6w + 6

b) Perimeter = 30 units

6w + 6 = 30    

Subtract 6 form both sides

6w = 30- 6

6w = 24

Divide both sides by 6

6w/6 = 24/6

w = 4

l = 2w + 3

 = 2*4 + 3

 = 8 + 3

 = 11

Length = 11 units

Width = 4 units

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.