Lucy bought a doormat for $7 and some placemats for $2 each. her total average cost per item was $3. create a rational equation, and determine how many placemats she bought.
she bought
placemats.

(2x+7)/(x+1) = 3; Relation

Lucy bought 4 place-mats

Step-by-step explanation:

Let the number of place-mats bought by Lucy be equal to x. The total cost of these x place-mats, at $2 each, would be;

2x

Her total cost will then be;

2x + 7; since she bought one doormat at $7.

The total items bought by her is then equal to;

x + 1

Her total average cost can thus be given as;

total cost / total number of items

(2x+7)/(x+1)

Therefore, we can formulate the following relation;

(2x+7)/(x+1) = 3; since the average cost per item was $3

2x+7 = 3(x+1)

2x+7 = 3x + 3

7-3 = 3x-2x

4 = x

Therefore, Lucy bought 4 place-mats

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %