A contractor buys 20 yds of nylon carpet and 30 yds of wool carpet for $860. A second purchase, at the same prices, includes 24 yds of nylon carpet and 32 yds of wool carpet for $984. Find the cost per yard of the wool carpet. PLEASE EXPLAIN ANSWER

124 per 6 feet

Step-by-step explanation:

subtraction

the wool carpet is $6 per yd

Step-by-step explanation:

Let x be the price per yard for nylon carpet and

y be the price per yard for wool carpet.

20x + 30y = 860

24x + 32y = 984

multiply the first equation by 6 and the bottom by -5 to eliminate x

6(20x + 30y = 860)

-5(24x + 32y = 984

=>120x + 180y = 5160

  -120x - 160y = -4920

20y = 240

20       20

y = 6

substitute y = 6 into any equation to find the value of x

20x + 30y = 860

20x + 30(6) = 860

20x + 180 = 860

        -180    -180

20x = 680

20       20

x = 34

the nylon carpet is $34 per yd

the wool carpet is $6 per yd

to check the solution plug the values of y and x into the first equation

20x + 30y = 860

20(34) + 30(6) = 860

hope this helps

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.