Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake. A. x⊇49/8

B. 49/8⊆x

C. 49/12⊆x

D. x⊇49/12

x ≤ 49 / 12

Step-by-step explanation:

Total cups of flour = 63 /8

Cake = 7/4 cups

Cookies = 3/2 cups per batch

Flour left after baking cake :

63/8 - 7/4

(63 - 14) / 8

49 / 8

Batch of cookies which can be baked, x

Flour left / cups of flour per batch of cookies

x ≤(49 / 8) ÷ (3 / 2)

x ≤ (49 /8) * 2/3

x ≤ 98 / 24

x ≤ 49 / 12

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

answer: idk

step-by-step explanation: