There are 135 cal in a 1/4 cup serving of trail mix how many calories are in 2 cups of trail mix?

1080 cal will be in 2 cups of trail mix

Step-by-step explanation:

If 135 cal = 1/4 cups

    ?   cal = 2 cups

This is obtained by representing the unknown value of calories with a variable say Z, and the cross multiply to get a general equation. i.e.

135cal = 1/4 cups

 Z cal = 2 cups

So therefore,

So therefore,

Z cal X 1/4 cups = 135cal  X 2 cups

To get the value of Z, divide both sides by 1/4 cups;

Z cal = 135 cal X 2 X 4 ( cups cancel out)

Z cal = 1080 cal

Z = 1080; Therefore it takes 1080cal  to be in 2 cup trail mix.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq