What is the value of x in the equation 4 3/10-[2 2/5x+ 51/2]=1/2[-3 3/5x+1 1/5]

The correct value for x = - 36 1/3

Step-by-step explanation:

1. Let's resolve the equation:

4 3/10-[2 2/5x+ 51/2] = 1/2[-3 3/5x+1 1/5]

For simplifying, let's convert all the expressions to fractions:

43/10 - (12x/5+ 51/2] = 1/2(- 18x/5 + 6/5)

43/10 - 12x/5 - 51/2 = - 18x/10 + 6/10

- 12x/5 + 18x/10 = 6/10 -43/10 + 51/2 (Like terms)

-24x + 18x = 6 - 43 + 255 (10 as Lowest Common Denominator)

-6x = 218

x = - 36.333

x = - 36 1/3

2. Let's prove that x = - 36 1/3 is correct, using it as -109/3

43/10 - (12x/5+ 51/2] = 1/2(- 18x/5 + 6/5)

43/10 - (12/5) * (-109/3) - 51/2 = 1/2 (-18/5 * - 109/3 + 6/5)

43/10 + 436/5 - 51/2 = 1/2 (654/5 + 6/5)

43/10 + 436/5 - 51/2 = 654/10 + 6/10

43 + 872 - 255 = 654 + 6 (10 as Lowest Common Denominator)

660 = 660

We proved that x = - 36 1/3 is correct

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft