Take 126/399 and divide it by 3. then you get 42/133. There is no other numbers that divide equally into the numbers, so you are done.
When 2n is divided by 4 the remainder will be 2
Division is a simple operation in which a number is divided.
Given,
A whole number n which when divided by 4 gives 3 as remainder
We know,
Dividend = (Divisor × quotient)+ Remainder
Here,
Dividend = n
Quotient = 4
Remainder =3
Consider the divisor as a
Then,
n = 4a+3
Multiply both side by 2
2n= 2(4a+3)
2n= 8a+6
Split the term 6 and take common outside
2n= 8a+4+2
2n= 4(2a+1)+2
So, when 2n is divided by 4
Divisor = 2a+1
Remainder = 2
Hence, when 2n is divided by 4 the remainder will be 2
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N = x-7
2x = 5n-7
2x = 5(x-7)-7
2x=5x-35-7
-3x=-42
x=14
n=7
7 is the answer
Answer:
Step-by-step explanation:
The Total Cost formula for the Dealership is
$24 + ($99/hr)h, where h represents the number of hours of labor performed.
That for the Local Mechanic is
$45 + ($89/hr)h
We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:
24 + 99h = 45 + 89h
Combining like terms, we get:
21 = 188h
Solve for h by dividing both sides by 188:
h = 188/21 = 8.95
The two bills would be equal 8.95 hours after commencement of the work.
<em>Part b</em>:
Dealership: $24 + ($99/hr)h. Evaluate this at 8.95 hrs: $910.05.
The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.
The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.
$24 + ($99/hr)(8.95 hr) =
Answer:Candace is a royal title from the Bible, ultimately deriving from the term kandake, a title for a queen or queen mother in the ancient African Kingdom of Kush; also meaning pure and innocent.
Step-by-step explanation: