Answer:
x=2
Step-by-step explanation:
Here what we need is that the ratios be equal, which is:
x:(5/2) = 8:10 or, what is the same:
x/(5/2) = 8/10
Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:
2x/2(5/2) = 2x/5
Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:
2(2x)/2(5) = 4x / 10
So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:
4x/10 = 8/10
As both denominators are equal, we can concentrate only in numerators:
4x = 8
Dividing both sides by 4:
x = 2
So, for x=2 both ratios are equivalents.
A would have to be greater than 1 to get a vertical stretch
The value of the collection originally was $1,000,000
What was the original value of the collection?
The original value of the collection is not known, hence, it is represented by X
The increase in value by $50,000 means that the value is X+$50,000
Now, when the error was discovered, it is now worth half of the value previously
The new value is (X+$50,000)*0.5
New value=(X+$50,000)*0.5
The new value at this point is $525,000
$525,000=(X+$50,000)*0.5
$525,000/0.5=X+$50,000
$1,050,000=X+$50,000
X=$1,050,000-$50,000
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