Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. he needs to buy 100kg 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.

Step-by-step explanation:

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

Since Michaels needs to buy a total of 100 kilogram of chocolate, we know that the sum of "d" and "m" is 100. Knowing this, we can write this equation:

Knowing that the Dark chocolate costs $12 per kilogram (which can be expressed with ) and milk chocolate costs $10 per kilogram (this can be expressed ), and he wants to spend $1120 total, we can write the following equation to represent this:

Therefore, the system of equations that represents this situation is:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.