In august emily’s clothing store sold 460 shirts with the ration of short sleeve to long sleeve being 3: 7. how many short sleeve shirts where sold?

138 short sleve shirts

step 1) add up the ratio of short to long sleve shirts: 3 + 7 = 10

step 2) divide the total # of shirts by 10: 460 / 10 = 46

step 3) because you are finding how many short sleeve shirts are sold, you multiply 46 x 3 = 138 short sleave shirts

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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