how would you solve for x in this equation?
40.0 = 0+ (x + 2.8)/2multiplied by(8.50)
I will assume this is what you mean:
40 = [(x+2.8)/2]*8.5
= (0.5x*8.5) + (1.4*8.5)
= 4.25 x + 11.9
4.25x = 28.1
x = 6.612
how would you solve for x? can you explain step by step?
40 = [(x+2.8)/2]*8.5
To solve for x in the equation 40.0 = 0 + (x + 2.8)/2 multiplied by 8.50, we can follow these steps:
1. Start by multiplying the expression (x + 2.8)/2 by 8.50. Distribute the 8.50 to both terms within the parentheses.
40.0 = 0 + (8.50*(x + 2.8))/2
2. Simplify the expression within the parentheses by multiplying 8.50 by both x and 2.8.
40.0 = 0 + (8.50x + 8.50*2.8)/2
3. Continue to simplify by performing the multiplication in the numerator.
40.0 = 0 + (8.50x + 23.8)/2
4. Eliminate the division by multiplying both sides of the equation by 2. This helps us get rid of the fraction.
40.0 * 2 = 0 + (8.50x + 23.8)
80.0 = 8.50x + 23.8
5. Next, subtract 23.8 from both sides of the equation to isolate the term with x.
80.0 - 23.8 = 8.50x + 23.8 - 23.8
56.2 = 8.50x
6. Finally, divide both sides of the equation by 8.50 to solve for x.
x = 56.2 / 8.50
x ≈ 6.607
Therefore, x is approximately equal to 6.607.