At a berry farm, Clayton picks 1 1/4 cups of blackberries and twice as many raspberries. He takes the berries home and uses them to make mixed-berry muffins. If Clayton needs 3/4 of a cup of mixed berries for each batch of muffins, how many batches can he make?

2 batches

Step-by-step explanation:

1. State the given;

Convert to improper fractions;

1 1/4 blackberries

5/4 blackberries

Simplify;

Twice as many blueberries;

5/4 *2

10/4

5/2

2. Find the total amount of berries;

Simplify;

blackberries + blueberries

= 5/4 + 5/2

*note; convert to like denominators

= 5/4 + 10/4

= 15/4

3. Divide by the amount that the recipe calls for;

Total / required

15/4 / 3/4

*note; dividing by a fraction is the same as multiplying by the fraction's reciprocal

15/4 * 3/4

45/16

*note; convert to a mixed number

2 13/16

Remember, for the sake of the problem, one can only make a full recipe, hence the answer is 2.

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

i think the answer is fried chicken ; >

step-by-step explanation: