Answer: ab =6
have:
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
Well, this is absolute value, so as a mixed fraction you would have to times the denominator to the whole number, and then add the answer of that to the numerator (2 x 2 x 1). After that, you should get a whole number as an answer, but make it as a fraction. (put the whole number you got on top of the denominator before (2) to make it a fraction). Then, again, since it's absolute value, then it into a negative. Hope this helps and hope it not confusing!!
The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements
Answer:
1.1 gigabytes
Step-by-step explanation:
Let us represent:
The number of gigabytes = g
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.
The Equation is given as:
$71.90 = $67.50 + $4 × g
71.90 = 67.50 + 4g
71.90 - 67.50 = 4g
4.4 = 4g
x = 4.4/4
x = 1.1 gigabytes
Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes
For this case, the first thing we must do is define variables:
x: number of pillowcases
y: number of sheets
We now write the system of equations:
2x + 5y = 40
x = 2y
Solving the system we have:
x = 8.9
y = 4.4
Answer:
The maximum number of pillowcases she could have purchased is:
x = 8 (spent less than $ 40)
