Answer:
The bell is 4.5 feet tall
Step-by-step explanation:
The ratio of the replicas are 1in : 0.5ft, so each inch of the model is 0.5 feet in real life.
The replicas are 9 inches tall, so you would multiply by the scale factor, 0.5 feet. You want the units to end up being feet, so you position the fractions to cancel out inches.
in x
the inches cancel out and you are left with:
9 x 0.5 ft
Simplify.
4.5 ft
To solve any questions relating to ages, I find it easier to make a table, like in the picture below.
<u>See picture for answer and clear diagram.</u>
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<u>Notes/Explanations + answer in written form</u>
Let's say that Halley's age now is: x
That means that her age in 18 years is: x + 18
It also means that her age 2 years ago is: x - 2
In the question, we are told that when Halley is 18 years older than her current age, she will be 5 times the age she was when she was 2 years younger than her current age
That means:
<u>Halley's current age + 18 years = 5 times (Halley's current age - 2 years)</u>
So we get this equation (which we solve to get the answer) :
<u>x + 18 = 5 * (x -2) </u> <em> ( expand the brackets)</em>
x + 18 = 5x - 10 <em> (subtract x from both sides)</em>
18 = 4x - 10 <em>(add 10 to both sides)</em>
28 = 4x <em>(now divide both sides by 4)</em>
7 = x
Therefore, Halley's current age is 7 years
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Note: equation is: x + 18 = 5 * (x -2)
