X = 1/2 and x is also equal to 1/5
1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
Answer:
Look below
Step-by-step explanation:
In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off. Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%. This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.
Answer:
Step-by-step explanation:
Name Number of minutes
Marcy 35
Tom 37
Jennifer 28
Darnel 31
total time= 35+37+28+31= 131 minutes= 2 hours 11 minutes
Step-by-step explanation
Here ...I'm not too sure about the question as you have written
P = 2 ( 1 + 6 ) and ask to solve for L ...
.So I guess the question you have written is wrong .. ...and I guess there should be L in the place of 1.
...So let me correct the question....
P = 2 ( l + 6 )
P = 2l + 12
P - 2l = 12
- 2l = 12 - P
- 2l = - P + 12
Change the sign of both side of the equation...
2l = P + 12
divide both side by the same number...
L = ( P + 12 ) ÷ 2
Calculate the product of rational numbers...
