Answer:
x=-12
Step-by-step explanation:
Start by getting all of the x values on one side and other to the other.
1/3x-3/4x=1+4
Now simplify. Because 1/3 and 3/4 do not have the same denominator, find the least common factor between 3 and 4 (which is 12) and make the fractions have denominators of 12.
4/12x-9/12x=5
-5/12x=5
x=5*(12/-5)=60/-5=-12
x=-12
12v would represent the cost of buying v video games, since each video game is 12 dollars. The answer has to be written in units of dollars.
Answer:
D) 22/7
Step-by-step explanation:
22/7 = 3.14
Let <em>x</em> be the smallest of the three integers. Then the next two are <em>x</em> + 2 and <em>x</em> + 4.
• "The ratio of the smallest number to 1 less than twice the smallest number..."
This translates to
<em>x</em> / (2<em>x</em> - 1)
• "... the ratio of 3 more than the middle number to twice the largest number."
This translates to
((<em>x</em> + 2) + 3) / (2 (<em>x</em> + 4))
or, simplifying a bit,
(<em>x</em> + 5) / (2<em>x</em> + 8)
The ratioes are said to be equivalent, so
<em>x</em> / (2<em>x</em> - 1) = (<em>x</em> + 5) / (2<em>x</em> + 8)
Solve for <em>x</em> :
<em>x</em> (2<em>x</em> + 8) = (<em>x</em> + 5) (2<em>x</em> - 1)
2<em>x</em>² + 8<em>x</em> = 2<em>x</em>² + 9<em>x</em> - 5
8<em>x</em> = 9<em>x</em> - 5
-<em>x</em> = -5
<em>x</em> = 5
So the three integers are 5, 7, and 9.
