Answer:
The percentage of the price of television reduced to <u>20%</u>.
Step-by-step explanation:
Given:
The price of a television was reduced $250 to $200.
Now, to find the percentage of the reduced price of television.
So, to get the reduced amount of television:
Old price = $250.
New price = $200.
Reduced amount = $250 - $200 = $50.
Now, to get the percentage of price reduced:
Therefore, the percentage of the price of television reduced to 20%.
Answer:
The answer to your question is l = 12 and w = 7/2 or 3.5
Step-by-step explanation:
Data
length = l
width = w
Area = 42 yd²
Process
1) Write equations that help to solve this problem
Area = length x width = l x w
Length = 2width + 5 or l = 2w + 5
2) Substitution
42 = lw Equation l
l = 2w + 5 Equation ll
42 = (2w + 5)w Substitute equation ll in l
3.- Expand
42 = 2w² + 5w
2w² + 5w - 42 = 0
Solve the equation by factoring
-Multiply 2 by 42
2 x 42 = 84
-Find the prime factors of 84
84 = 2² 3 7
-Find two numbers that added gives +5 using the prime factors
These numbers are +12 and -7
-Substitute the values in the equation
2w² -7w + 12w - 42
-Factor by grouping
w(2w - 7) + 6(2w - 7)
(2w - 7)(w + 6)
-Find w
2w₁ - 7 = 0 w₂ + 6 = 0
w₁ = 7/2 w₂ = -6 This value is discarted because
there are no negative values
-Find l
l = 2(7/2) + 5
l = 7 + 5
l = 12
Answer:
5/32
Step-by-step explanation:
Since 5/8 x 1/4 = 5/32, that is the answer.
Key Note: When you get this type of question, multiply the second umber by the first.
Answer:
a/(bxy) if b≠0, x≠0, y≠0, x≠y
Step-by-step explanation:
You have correctly simplified the expression. The conditions placed on both the original and simplified forms are that none of the denominator factors may be zero. The denominator factors are b, x, y, and (x-y).
Let the unknown number be x
13x+72= -23x
13x+23x= -72
36x= -72
x= -2
