A 20-ft piece of board is cut into two pieces such that the second piece is 2 feet more than twice the first. Piece; find the length of the longer piece of board.

14 feet

Step-by-step explanation:

Let the shorter piece of the board be represented by x.

Since the longer piece is 2 feet more than twice the first, this will be:

= (2 × x) + 2

= 2x + 2

We then add both pieces and equate them to 20. This will be:

x + (2x + 2) = 20

x + 2x + 2 = 20

3x + 2 = 20

3x = 20 - 2

3x = 18

x = 18/3

x = 6 feet

Shorter piece = 6 feet

Longer piece = 2x + 2 = 2(6) + 2

= 12 feet + 2 feet

= 14 feet

The longer piece of board is 14 feet

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17