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:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
Answer:
$45.22
Step-by-step explanation:
The number of miles per gallon can be represented by the ratio:
Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:
, where 'x' is the number of gallons of gas
cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons
If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:
16.15 x $2.80 = $45.22
To find the quotient, divide 396 by 12.
396/12= 33
