Jackie bougth red and green binders and paid $2.25 for each red binder and $3.24 for each green binder and spent a total of $21.96. if she bougth the same number of each, then how many of each did she buy?

4 each of red and green binders.

Step-by-step explanation:

Given: Price of each red binder is $2.25.

           Price of each green binder is $3.24.

           Total Jackie paid is $21.96.

Lets assume the number of red binder bought be "x".

∴ Total amount paid for red binder=

⇒ Total amount paid for red binder=

Now, finding the amount paid for green binder.

As we know the total amount paid by Jackie is $21.96 and she bought same number for each binder.

Jackie paid for x number of green binder=

Next, we can write an equation on total amount paid for Green binder to find value of x.

∴

Solving the equation.

Adding both side by \$ 2.25x

⇒

⇒

cross multiplying both side.

⇒

∴ x= 4

Hence, Jackie bought 4 each of red and green binders as she bought same number of each binders.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

207/8 is the right