The sum of positive integers b and h is 34. if their difference is 8, what is the value of bh ? select one: a. 25 b. 56 c. 75 d. 273

D

given the 2 expressions, construct 2 equations

b + h = 34 → (1)

b - h = 8 → (2) with b > h

add (1) and (2) term by term to eliminate h

2b = 42 ⇒ b = 21

substitute b = 21 in (1) and solve for h

21 + h = 34 ⇒ h = 34 - 21 = 13

hence bh = 21 × 13 = 273 → D

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

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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