No unit fractions are shown. (Sometimes editing is required when you copy and paste your question text.)
Selections B and D have 1 as their first digit. We suspect those are supposed to be the unit fractions 1/8 and 1/3, respectively.
Subtract 5 from both sides
a/-8 = 4/7 - 5
simplify 4/7 - 5 to 31/-7
a/-8 = 31/-7
multiply both sides by 8
-a = 31/-7 x 8
simplify 31/7 x 8 to 248/7
-a = 248/7
multiply both sides by -1.
The answer is a = 248/7
The words are the explanations of the steps and the dark bolded words are the work shown for each step.
Volume of a rectangle prism is found by <em>multiplying length, width, and height</em>.
So:
3. 9 1/3 * 4 * 6 1/2 = 28/3 * 4 * 13/2 = 1456/6 = 242 2/3 in³
4. 2 1/2 * 5 3/4 * 8 = 5/2 * 23/4 * 8 = 920/8 = 115 yd³
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
300, 36 divided by 0.12 (12%) is 300
