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:
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.