20 pts and a ! a store is having a sale on jelly beans and trail mix. for 6 pounds of jelly beans and 2 pounds of trail mix, the total cost is $ 12 . for 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $ 15 . find the cost for each pound of jelly beans and each pound of trail mix.

The cost of Jelly Beans =

The cost of Trail Mix      =

Step-by-step explanation:

Given the cost of 6 pounds of Jelly Beans and 2 pounds of trail mix is $12.

Also, the cost of 3 pounds of Jelly Beans and 5 pounds of Trail mix is $15.

Call the cost of one pound of Jelly beans as J

And cost of one pound of Trail Mix as T.

Now, converting the given data to mathematical form, we would have:

Dividing through out by 2 we have:

To solve (1) and (2), subtract the two equations which will give us:

⇒                                            T = 9/4

Substituting the value of T in (1), we have:

∴                                               J  = 5/4

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.