Jeremy is making a trail mix containing raisins and peanuts. raisins cost $1.50 per pound. peanuts cost $2.50 per pound. jeremy spends $10.50 to make 5 pounds of trail mix. he uses the table below to organize this information.

which equation can jeremy use to determine the amount of raisins in the trail mix?

1)r + 1.50 = 1.5r
2)r + (5 – r) = 5
3)1.5r + 2.5(5 – r) = 10.50
4)1.5r + 2.5(5 – r) = 5

The equation that can Jeremy use to determine the amount of raisins in the trail mix is 1.5r + 2.5(5 - r) = 10.5 and this can be determined by forming the linear equation.

Given :

Let the total amount of raisins be 'r' in pounds and let the total amount of peanuts be 'p' in pounds.

So, the linear equation that represents the total amount of trail mix is given below:

r + p = 5

p = 5 - r      --- (1)

The linear equation that represents the total money Jeremy spends is given below:

1.5r + 2.5p = 10.50   --- (2)

Now, substitute the value of 'p' in equation (2).

1.5r + 2.5(5 - r) = 10.5

Simplify the above expression.

1.5r + 12.5 - 2.5r = 10.5

2.5 = r

Therefore, the correct option (3).

For more information, refer to the link given below:

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Let

r--------> the amount of raisins in the trail mix in pounds

p-------> the amount of peanuts in the trail mix in pounds

we know that

------> equation A

-----> equation B

Substitute equation A in equation B

therefore

the answer is the option

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.