Late at night, in a castle far away, the king could not sleep. so he got up and at 1/4 of the mangoes from a bowl in the kitchen. the queen got up and ate 1/3 of the mangoes that were left. the prince at 1/2 of the mangoes that the queen did not eat. there were 12 mangoes left in the bowl when she was done. how many mangoes were in the bowl at the beginning?

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

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step-by-step explanation:

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