Answer:
19.685
Step-by-step explanation:
Find the constant of proportionality
Answer:
x = $200
The original price is $200
Question :
The price of a dress is reduced by 50%. When the dress still does not sell, it is reduced by 50% of the reduced price. If the price of the dress after both reductions is $50, what was the original price?
Step-by-step explanation:
Let x represent the original price of the dress.
First reduction
After first reduction the value of the price is given as;
p1 = x - 50% of x = (1-0.50)x = 0.5x
p1 = 0.5x
Second reduction
After the second reduction the value of the price is given as;
p2 = p1 - 50% of p1 = (1-0.50)p1 = (0.50)0.50x
p2 = 0.25x .....1
Since, p2 is given
p2 = $50
Substituting into equation 1
$50 = 0.25x
x = $50/0.25 = $200
x = $200
The original price is $200
1/3b = 4/5
Do the cross multiplication
1(5) = 3b(4)
5=12b
<span>b=5/12</span>
<h2>
Answer:</h2>
<em><u>(a) Is it an output from the system? </u></em>
<em><u>(d) Is it a synonym of an existing thing?</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
We have a list of nouns and we need to determine whether a particular noun should be excluded by identifying particular noun as an important 'thing'.
So, to identify it as a noun we can ask two questions which will distinguish between the same.
<u>(a) Is it an output from the system? </u>
It is one of the questions that can be asked because if the thing is an output from a system it will be definitely existing in real therefore, we can identify from this.
<u>(d) Is it a synonym of an existing thing?</u>
By asking this we can also confirm whether a particular thing is a noun or not because if the thing will be a synonym for an already existing material, it definitely will be a Noun.
<em><u>Therefore, the correct option is (a) and (d).</u></em>