Middle School

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------------------------------------------------ The ideal weight of a man is given by the formula [tex]w = 110 + 5(h - 60)[/tex], where [tex]h[/tex] is the man's height in inches and [tex]w[/tex] is the weight in pounds. Calculate the height for a man whose ideal weight is 195 lbs. (Make sure your answer has units.)

Answer :

Answer: 77inches= 6ft 5inches

Step-by-step explanation:

Given the formula as w = 110 + 5(h - 60), to calculate the height h for a man given weight as 195 lbs.

Slot the value into the formula:

195lbs = 110 + 5( h - 60)

Open the bracket:

195 = 110 + 5h - 300

Isolate 5h in the equation

-5h = 110 - 300 - 195

-5h = -385

Divide both sides by -5

h = -385/-5

h = 77 inches

77 inches = 6ft 5inches

Substitute 195lbs for w in the formula.

195lbs = 110 + 5(h-60). Multiply 5 by h-60.

195lbs = 110 + 5h - 300. Combine -300 and 110.

195lbs = 5h - 190. Add 190 to both sides.

385lbs = 5h. Divide both sides by 5.

77 inches = h

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