Answer:
x = 9 cm
create proportional equation:
<span>Width = 6
Length = 30
We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression:
72 = 2*(L + W)
And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well:
L = 6 + 4*W
So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So:
72 = 2*(L + W)
72 = 2*(6 + 4*W + W)
72 = 2*(6 + 5*W)
72 = 12 + 10*W
60 = 10*W
6 = W
So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So:
L = 6 + 4*W
L = 6 + 4*6
L = 6 + 24
L = 30
And now we know the length as well.</span>
Answer:
Below is an image of my work
Step-by-step explanation:
In order to answer this question, we use the concept of ratio and proportion wherein we use the equation,
R1 / T2 = R2 / T1
where R is for rate and T is for time. Substituting the known values to the equation,
(600)/x = (400)/ 20
The value of x from the equation is 30. Thus, it will take 30 hours if the rate was adjusted to 400 gallons per minute.
Since it's absolute value, to solve it it needs to be plus or minus. so 2X+5=3 and 2X+5=-3 solve for those
