A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch are pecans.
If a batch contains 77 pounds of pecans, how many pounds of mixed nuts are in a batch altogether?

Plz I need help fast and use part to whole =% out of 100 show work thx

500 lbs of mixed nuts

Step-by-step explanation:

15.4% of mixed nuts = 77 lbs of pecans

Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:

77 / 15.4 = 5,  so 5 lbs equals 1% of mixed nuts

Now multiply that number by 100 to get 100% of mixed nuts:

5 x 100 = 500

Therefore, there are 500 lbs of mixed nuts in a batch altogether.

To check, 15.4% = 15.4/100 = 0.514

Therefore, 15.4% of 500 = 0.514 x 500 = 77

Thereby proving that 15.4% of 500 is 77.

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1