Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. he needs to buy 100 kg of chocolate in total for his next order. dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total. let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys. which system of equations represents this situation? choose 1

Step-by-step explanation:

Let d be the number of kilograms of dark chocolate Michael buys and m be the number of kilograms of milk chocolate he buys.

Michael needs to buy 100 kg of chocolate in total for his next order, then

Dark chocolate costs $12 per kilogram, then d kg cost $12d.

Milk chocolate costs $10 per kilogram, then m kg cost $10m.

Michael wants to spend $1,120 total, so

We get the system of two equations:

Answer is in the picture

Step-by-step explanation:

I got it right on Kahn Academy, hope this helps :)

..

step-by-step explanation:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)