Ruby studied her science test for 1/2 of an hour
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Jamal spent 1 1/2 (1.5) hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied.
Amount of time ruby studied = (1/3) * (1.5) = 1/2 of an hour
Ruby studied for 1/2 of an hour
Find out more on equation at: brainly.com/question/1214333
Absolute value makes all things inside positive (make result positive)
so one example is
|x+1|=4
so if you had 3 in it woul dyhave
|3+1|=4
|4|=4
4=4
true
if -5
|-5+1|=4
|-4|=4
4=4
treu
Yes
7x6=42
8x6=48
Hope that helped :D
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20