Answer:

Explanation:
8c + 3 = −40c − 10
[ Step 1: Add 40c to both sides ]
8c + 3 + 40c = −40c − 10 + 40c
48c + 3 = −10
[ Step 2: Subtract 3 from both sides ]
48c + 3 − 3 = −10 − 3
48c = −13
[ Step 3: Divide both sides by 48 ]
48c / 48 = −13 / 48
C = -13 / 48 or -0.27083333333
Answer:
The fraction of the students who failed to went partying = 
Step-by-step explanation:
Let total number of students = 100
No. of students partied are twice the no. of students who not partied.
⇒ No. of students partied = 2 × the no. of students who are not partied
No. of students partied before the exam = 20 % of total students
⇒ No. of students partied before the exam =
× 100
⇒ No. of students partied before the exam = 20
No. of students who not partied before the exam = 
Thus the fraction of the students who failed to went partying = 
Answer:
There are 1012 books per bookcase
Step-by-step explanation:
To find the number of books per bookcase take the number of bookcases (72) divided by the number of books (72,864)
So;
72,864 / 72 = 1012
Hope this helps!
Answer:
Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.
Step-by-step explanation:
Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.
We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.
We can represent this information in an expression as:

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.
To find amount of Brand B mixed nuts, we will substitute
in equation (1) as:



Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.
Answer:
795.87
Step-by-step explanation:
2,300.46 - 1,504.59 =795.87