1.8=[(5.0-x)/100]/[x/150]
Solve for x
1.8 = (5-x)/100 * 150/x
= 150/100 * (5-x)/x
= 3/2 (5/x - 1)
9/5 = 15/2x - 3/2
9/5 + 3/2 = 15/2x
33/10 = 15/2x
10/33 = 2x/15
10/33 * 15/2 = x
x = 150/66 = 25/11
1.8=[(5.0-x)/100]/(x/150)
1.8 =[(5.0-x)/100]*150/x
1.8=(5.0-x)150/100* x
1.8 =[(5*150)-(x*150)]/100x
1.8= 750-150x/100x
1.8*100x=750-150x
180x=750-150x
180x+150x=750
330x=750
divide through by330
330x/330=750/330
x=2.27
To solve for x in the equation 1.8 = [(5.0 - x)/100]/[x/150], we can follow these steps:
Step 1: Simplify the equation by multiplying both sides by 100 and 150 to get rid of the denominators:
1.8 * (100 * 150) = (5.0 - x) * 150 / x
Step 2: Simplify further by canceling out common factors:
270 = (5.0 - x) * 150 / x
Step 3: Multiply both sides by x to eliminate the fraction:
270x = (5.0 - x) * 150
Step 4: Distribute 150 on the right side of the equation:
270x = 750 - 150x
Step 5: Combine like terms on the right side:
420x = 750
Step 6: Divide both sides by 420:
x = 750 / 420
Step 7: Simplify the right side:
x = 1.7857 (rounded to four decimal places)
Therefore, the value of x that solves the equation is approximately 1.7857.