Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
Answer:
C. No solution
Step-by-step explanation:
The two equations have same slopes but different y-intercept. So it's no solution.
Answer: (22) $9,075 (23) $656.25 (24) $217.13
<u>Step-by-step explanation:</u>
Cost Function: C(x) = 5.75x + 8,000
C(10,000) = 5.75(10,000) + 8,000
= 57,500 + 8,000
= 65,500
Revenue Function: R(x) = 9.50x
R(7,850) = 9.50(7,850)
= 74,575
Profit Function: P(x) = R(x) - C(x)
= 74,575 - 65,500
= 9,075
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Retail = Unit Cost + Unit Cost × Markup
= $375 + $375 × .75
= $375 + $281.25
= $656.25
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$225 but if paid within 10 days there is a 3.5% discount
Discount = $225 - $225 × .035
= $225 - $7.88
= $217.13
Answer:A valid solution would be (1,3)
Explanation:First, we will try to simplify the given equation as follows:
14mn = 55 - 7m - 2n
14mn + 2n = 55 - 7m - 2n + 2n
n (14m + 2) = 55 - 7m
n =
Now, we are given only one equation with two unknowns. Therefore, to solve this equation, we will need to assume the value of one of the variables and solve for the other. Then we will check if the solution matched the given condition (that the two numbers are positive integers or not).
1- Assume that m = 3:
n =
= 17/22 .....> n is not a positive integer......> this solution is rejected
2- Assume m = 2:
n =
= 41/30 .....> n is not a positive integer......> this solution is rejeceted
3- Assume m = 1:
n =
= 3 ........> both m and n are positive integers .......> this solution is accepted
Based on the above, a valid solution would be (1,3)
Hope this helps :)