Answer:
4 23/100 or 4.23
Step-by-step explanation:
Answer:
-6(x-2)=-7(x-3) = False x = 9
Step-by-step explanation:
Solve for x:
-6 (x - 2) = -7 (x - 3)
Expand out terms of the left hand side:
12 - 6 x = -7 (x - 3)
Expand out terms of the right hand side:
12 - 6 x = 21 - 7 x
Add 7 x to both sides:
7 x - 6 x + 12 = (7 x - 7 x) + 21
7 x - 7 x = 0:
7 x - 6 x + 12 = 21
7 x - 6 x = x:
x + 12 = 21
Subtract 12 from both sides:
x + (12 - 12) = 21 - 12
12 - 12 = 0:
x = 21 - 12
21 - 12 = 9:
Answer: x = 9
Answer:
Explanation:
Verbal statements must be translated into algebraic expressions, equations or inequalities.
<u>1. Money earned by Jamie washing cars for $25 each</u>
Let x represent the number of cars Jaime washes.
<u>2. Money earned by Stella making pecan pies for $15 each</u>
Let y represent the number of pies she makes
<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.
Write an inequality using the symbol ≤, since y can take any integer value up to 40.
4. First question:
Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip
5. Second question:
Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.
6. Third question
Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.
From step # 3
7. Conclusion
You can solve the inequalities fo find whether Stella can or not afford the trip:
Solve for the inequalities that represent Stella's situation:
The solution set is the intersection of the two solutions:
- Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.
