Sam wants to buy 8 pencils and 6 pens, wich cost a total of $8.50. he realizes he doesn’t have enough cash and instead takes only 4 of each, which cost only $5. what is the price of each pen and pencil

n = 0.75

p = 0.5

Step-by-step explanation:

let p = number of pencils

let n = number of pens

8p + 6n = 8.50      (1)

4p + 4n = 5           (2)

(2) x 2    8p + 8n = 10 (3)

8p + 6n = 8.50     (1)

8p + 8n = 10         (3)

(3) - (1)     2n = 1.50

                 n = 0.75

substitute n back in to find p

4p + 4 x 0.75 = 5

4p + 3 = 5

4p = 2

p = 0.5

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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