Answer:
f = 1, w = 4
Step-by-step explanation:
Given the 2 equations
5w = 23 - 3f → (1)
4f = 12 - 2w (add 2w to both sides )
2w + 4f = 12 ( subtract 4f from both sides )
2w = 12 - 4f → (2)
Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f
20w = 92 - 12f → (3)
- 6w = - 36 + 12f → (4)
Add (3) and (4) term by term to eliminate f
14w = 56 ( divide both sides by 14 )
w = 4
Substitute w = 4 into either of the 2 equations and solve for f
Substituting into (1)
5(4) = 23 - 3f
20 = 23 - 3f ( subtract 23 from both sides )
- 3 = 3f ( divide both sides by - 3 )
1 = f
Answer:
The initial value is $78
Step-by-step explanation:
Given

(weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:

Represent number of weeks with x; So, we have:


Answer:
The total numbers of possible combinations are 3430.
Step-by-step explanation:
Consider the provided information.
A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.
Here, for the first digit we have 10 choices.
For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.
For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.
For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.
So the number of choices are:

Hence, the total numbers of possible combinations are 3430.
Answer:
there were no inequalities to choose from but I believe the answer is y ≤ 4x
Step-by-step explanation:
Answer: 30%
Step-by-step explanation:
Percent error = 
Estimated number of games win this year = 7
Actual number of games won = 10
Now , the percent error of Doug’s estimate = 
Hence, the percent error of Doug’s estimate = 30%