Suppose you are working as a pastry chef. You have 12 cups of chocolate cream to fill eclairs. Each eclair requires 2.25 ounces of filling. If you use all of the chocolate cream, at most how many eclairs can you make?

42 eclairs.

Step-by-step explanation:

Let x represent number of eclairs.

We have been given that each eclair requires 2.25 ounces of filling. So amount of cream needed for x eclairs would be .

Let us convert 12 cups to ounces.

1 cup = 8 oz

12 cups = 8*12 oz = 96 oz

Now, we will equate amount of cream needed for x eclairs with 96 as:

Divide both sides by 2.25:

Since we cannot make 0.666 of one eclair, therefore, you can make at-most 42 eclairs.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.