Answer:
x>1
Step-by-step explanation:
5x - 4 > 4 - 3x
Add 3x to each side
5x+3x - 4 > 4 - 3x+3x
8x -4 > 4
Add 4 to each sdie
8x-4+4 > 4+4
8x> 8
Divide each side by 8
8x/8 >8/8
x > 1
Answer:
11 mommas!
Step-by-step explanation:
4505 divided by 405.45 is 11.11... Of course, you can't fit 11.11... mommas, so the answer is just 11.
For this case we must solve the following equation:
For this, we follow the steps below:
We find the Neperian logarithm on both sides of the equation to remove the variable from the exponent
We use one of the logarithm properties to extract x from the exponent:
We subtract xln (7) on both sides of the equation:
We take x common factor:
We divide between
on both sides of the equation, then:
Answer:
So x would equal to x=0, 3/4, 1/2
Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
