Question

Find the value of (3^3 × 7^2- 5^2 × 7^3)/(3^2 ×5 × 7^2 ) Calculate the number of miles in 29.55 km, correct to 2 decimal places. (1 km = 0.6214 mile) Simplify (a^(3⁄2) bc^(-3) )(a^(1/2) b^(-1/2) c) and evaluate when a = 3, b = 4 and c = 2. Simplify 3a + 2a × 5a + 4a ÷ 2a - 6a Two joiners and five mates earn £1824 between them for a particular job. If a joiner earns £72 more than a mate, calculate the earnings for a joiner and for a mate. Transpose the formula a^2= (b^2- c^2)/b^2 to make b the subject

Answer 1

To find the value of the given expression, simplify the numerator and the denominator separately. Substitute the simplified values back into the original expression and perform the final calculation to find the value. The result is approximately -24.9.

Step-by-step explanation:

To find the value of the expression (3^3 × 7^2- 5^2 × 7^3)/(3^2 ×5 × 7^2), we can simplify each part of the expression separately and then perform the calculations. First, simplify the numerator: 3^3 × 7^2 = 3 × 3 × 3 × 7 × 7 = 63 × 49 = 3087. Next, simplify the denominator: 5^2 × 7^3 = 5 × 5 × 7 × 7 × 7 = 25 × 343 = 8575. Now, substitute these values back into the original expression: (3087 - 8575) / (3^2 × 5 × 7^2). Evaluate the denominator: 3^2 × 5 × 7^2 = 9 × 5 × 49 = 2205. Finally, perform the final calculation: (3087 - 8575) / 2205 ≈ -54988 / 2205 ≈ -24.9 (rounded to two decimal places).

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