In one year, the factory used 11,650 meters of cotton, 4,950 fewer meters of silk than cotton, and 3,000 fewer meters of wool than silk. How many meters in all were used of the three fabrics?

Total fabric used in all= 22,050 meters

Step-by-step explanation:

Given, Total cotton used = 11,650 meters

Total silk used = [(Total cotton used) - 4,950 ] meters

= 11650 - 4950

= 6700 meters

Total wool used = [(Total silk used) - 3,000] meters

= 6700 -3000 meters

= 3700 meters.

Total fabric used in all = Total cotton used + Total silk used + Total wool used

= ( 11650+6700 +3700 ) meters

= 22,050 meters

Hence, Total fabric used in all= 22,050 meters

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step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0