Luis is saving money to purchase a new video game. he has a total of 30 coins consisting of nickels and dimes. the value of the coins is $2.20. let n represent the number of nickels and let d represent the number of dimes. which system of equations can be used to determine the number of nickels and the number of dimes luis has?

14 dimes & 16 nickels.

 do they give you options for the system of equations to choose from?

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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