35.4067 =
then find the value of
2p+4q+5r+7s+3t
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2p+4q+5r+7s+3t = 7004.7003 if 35.4067 = 3/p + 5q + 4r + 6/s + 7t
Step-by-step explanation:
35.4067 = 3/p + 5q + 4r + 6/s + 7t
35.4067 = 3*10¹ + 5 * 10⁰ + 4 * 10⁻¹ + 0 * 10⁻² + 6 * 10⁻³ + 7*10⁻⁴
comparing with 3/p + 5q + 4r + 6/s + 7t
=> 1/p = 10¹ => p = 1 * 10⁻¹ => 2p = 2* 10⁻¹
q = 10⁰ => 4q = 4 * 10⁰
r = 10⁻¹ => 5r = 5 * 10⁻¹
1/s = 10⁻³ => s = 10³ => 7s = 7 * 10³
t = 10⁻⁴ => 3t = 3 * 10⁻⁴
2p+4q+5r+7s+3t = 2* 10⁻¹ + 4 * 10⁰ + 5 * 10⁻¹ + 7 * 10³ + 3 * 10⁻⁴
= 7 * 10³ + 4 * 10⁰ + 7* 10⁻¹ + 3 * 10⁻⁴
= 7004.7003
2p+4q+5r+7s+3t = 7004.7003
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