I haven’t done this before but I’m sure it’s C. 15/5
5 is equal to 3.
45/27 is also equal to 5/3 (Divided both 45 and 27 by 9)
7.5:4.5 is also equal to 5:3 (Divided both 7.5 and 4.5 by 1.5)
15/5 is not equal because if you simplify it, it would become 3:1 (Divided both 15 and 5 by 5).
Answer:
{87, 91, 64, 88, 74}
Step-by-step explanation:
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.
Using the midpoint formula, you'd get B: -1,1
: D
53 feet 9.5 inches. This should be pretty close but i rounded on the inches.
