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
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
10x + 2 is an exterior angle of the triangle, thus
10x + 2 = 2x + 1 + 25
10x + 2 = 2x + 26 ( subtract 2x from both sides )
8x + 2 = 26 ( subtract 2 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
Answer...
Steps....
1) Rewrite the decimal number as a fraction with 1 in the denominator
2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by 
= 10000
3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25
4) Simplify the improper fraction!
Answer is B.
5√3(5+2√6)=
25√3+10√18=
25√3+30√2
Note: I multiplied 10 by 3, because the prime factors of 18 are 3, 3 and 2 so I made a pair from the 3 and multipled and was left with 2.
The equivalent to that is 8.
