This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Welcome back danielalheri09@gmail.com — missed you this week. Here are the solutions for finding the value of the letter in each equation: a) Step 1: Write the given equation. (1)/(4)x = 10 Step 2: Multiply both sides by 4 to isolate x. 4 × (1)/(4)x = 10 × 4 x = 40 The value of x is 40. b) Step 1: Write the given equation. (2)/(3)y = 8 Step 2: Multiply both sides by the reciprocal of (2)/(3), which is (3)/(2). (3)/(2) × (2)/(3)y = 8 × (3)/(2) Step 3: Simplify the multiplication. y = (24)/(2) y = 12 The value of y is 12. d) Step 1: Write the given equation. (5)/(8)t = 10 Step 2: Multiply both sides by the reciprocal of (5)/(8), which is (8)/(5). (8)/(5) × (5)/(8)t = 10 × (8)/(5) Step 3: Simplify the multiplication. t = (80)/(5) t = 16 The value of t is 16. e) Step 1: Write the given equation. (7)/(12)s = 14 Step 2: Multiply both sides by the reciprocal of (7)/(12), which is (12)/(7). (12)/(7) × (7)/(12)s = 14 × (12)/(7) Step 3: Simplify the multiplication. s = (14 × 12)/(7) s = 2 × 12 s = 24 The value of s is 24. g) Step 1: Write the given equation. (5)/(9)m = 15 Step 2: Multiply both sides by the reciprocal of (5)/(9), which is (9)/(5). (9)/(5) × (5)/(9)m = 15 × (9)/(5) Step 3: Simplify the multiplication. m = (15 × 9)/(5) m = 3 × 9 m = 27 The value of m is 27. h) Step 1: Write the given equation. (7)/(10)n = 21 Step 2: Multiply both sides by the reciprocal of (7)/(10), which is (10)/(7). (10)/(7) × (7)/(10)n = 21 × (10)/(7) Step 3: Simplify the multiplication. n = (21 × 10)/(7) n = 3 × 10 n = 30 The value of n is 30. Send me the next one 📸