All that's necessary is to add 4 to both sides of the equation. This gives
... y = 1/2(x -8) +4
If you like, you can simplify this by eliminating the parentheses and collecting terms.
... y = 1/2·x -4 +4
... y = (1/2)x
90%. 9/10 is equivalent to 90/100 making the percentage 90%
Answer:
B. A rectangle, 4 in by 3 in
Step-by-step explanation:
The foam has the shape of a cuboid with base of 10 in by 4 in and height of 3 in.
The foam has a front elevation of a rectangle with dimension of 4 in by 3 in. It has a left elevation of dimension 10 in by 3 in and a plan of dimension 10 in by 4 in.
If the foam is cut along the red line, the exposed face would be the same as the shape of the front elevation. Hence the shape of the cross section would be a rectangle with dimension of 4 in by 3 in.
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
It would be 750 dollars because you take 500 times .15 and get 750
