Acompany that makes trail mix uses 1 3/8 pounds of peanuts for every 2/3
pound of raisins. they make 245 pounds of trail mix using only peanuts and raisins. how many pounds of peanuts do they use?

80 pounds of peanuts is used to make 245 pounds of trail mix using only peanuts and raisins.

Let x represent the amount of peanut and y represent the amount of raisins.

Since the mix uses 1 3/8 pounds of peanuts for every 2/3  pound of raisins, hence:

1 3/8 of x = 2/3 of y

11x/8 = 2y/3

y = 33x/16

Given that they make 245 pounds of trail mix, hence:

x + y = 245    

x + 33x/16 = 245

x = 80 pounds

Hence 80 pounds of peanuts is used to make 245 pounds of trail mix using only peanuts and raisins.

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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