Answer:
The length of the rectangle 'l' = 20
The width of the rectangle 'w' = 14
Step-by-step explanation:
<u>Explanation</u>:-
Let 'x' be the width
Given data the length of a rectangular patio is 8 feet less than twice its width
2x-8 = length
The area of rectangle = length X width
Given area of rectangle = 280 square feet
x(2x-8) = 280
2(x)(x-4) =280
x(x-4) =140
x^2 -4x -140=0
x^2-14x+10x-140=0
x(x-14)+10(x-14)=0
(x+10)(x-14) =0
x = -10 and x = 14
we can choose only x =14
The width of the rectangle 14
The length of the rectangle 2x-8 = 2(14)-8 = 28 -8 =20
The length of the rectangle 'l' = 20
The width of the rectangle 'w' = 14
Answer:
5/6
Step-by-step explanation:
<em>Dividing fractions:</em>
<em>Step 1: Rewrite the first fraction as it is.</em>
<em>Step 2: Replace the division sign with a multiplication sign.</em>
<em>Step 3: Flip the second fraction.</em>
<em>Step 4: Multiply the fractions and reduce the product if necessary.</em>
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.

Step 2: Replace the division sign with a multiplication sign.

Step 3: Flip the second fraction.

Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.

We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.

Answer:
m = 18
Step-by-step explanation:
Step 1: Write out equation
-1/2m = -9
Step 2: Multiply both sides by -2
m = 18
Answer:
3X + 3 = 168
3X + 3 - 3 = 168 - 3
3X = 165
3X/3 = 165/3
X = 55
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168
For this case we have to rewrite the given expression algebraically:
the cube of a, is represented as: 
the square of b, is represented as:
Thus, the product of both expressions is:

And twice the product is represented as:

Answer:
