The sum of alex's height and ben's height is 130 inches. subtracting alex's height from ben's height yields one-third of ben's height. how tall is ben, in terms of inches?

Let Alex's height = a.

Let Ben'x height = b.

a + b = 130

b - a = b/3

Subtract b/3 from both sides int he second equation to obtain:

(2/3)b - a = 0

Add this new equation to the first original equation.

(5/3)b = 130

b = 130 * 3/5

b = 78

a + b = 130

a + 78 = 130

a = 130 - 78

a = 52

Alex's height is 52 inches, and Ben's height is 78 inches.

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step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950