Answer:
Michael purchases 60 kg of dark chocolate alongside 40 kg of milk chocolate.
Step-by-step explanation:
Let d signify the kilograms of dark chocolate bought by Michael and m signify the kilograms of milk chocolate he acquires.
He must acquire a total of 100 kg of chocolate, thus

With dark chocolate priced at $12 per kg, the cost for d kg would be $12d. The price of milk chocolate is $10 per kg, indicating the cost for m kg is $10m. Michael intends to spend $1,120 on the chocolate, therefore

Taking the first equation

By inserting this into the second equation:

Michael ends up buying 60 kg of dark chocolate and 40 kg of milk chocolate.
Answer:
y = 2.09x^2 + 0.33x + 3.06
Detailed explanation:
Answer:
The repair of the stretch of road will require
weeks to finish.
Step-by-step explanation:
Provided:
Length of the roads needing repair =
Length of the road workers can fix in a week = 
To ascertain how many weeks it will take to mend this road stretch.
Solution:
Worker's road repair rate = per week.
Overall road length to repair =

The time required to repair 
of road by the workers can be calculated:
⇒
When dividing mixed numbers, we change them first into fractions.
To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:
⇒ 
We revert the fraction back into a mixed number.
Thus, it will take
weeks to complete the road repair task.
Solution:
In Mr. Skinner's class, the count of students bringing lunch from home is 12 out of 20.
Fraction of students who brought lunch from home in Mr. Skinner's class=
For Ms. Cho's class, the number who brought lunch from home is 14 out of 21.
Fraction of students who brought lunch from home in Ms. Cho's class=
Siloni is utilizing two spinners with 15 equal sections to randomly select students from the classes and predict whether they brought lunch or will purchase it from the cafeteria.
Number of Equal sections in each Spinner=15
To visualize the students from Mr. Skinner's class who brought lunch using a Spinner with 15 equal sections =
For Ms. Cho's class, using a Spinner with 15 equal sections =
Mr. Skinner's Class +1 = Ms. Cho's Class
This means that the spinner for Ms. Cho's class will include one additional section representing students who brought lunch.
Option A signifies that one additional section on Mr. Skinner's spinner represents students who brought lunch, reflecting Ms. Cho's class.