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If 5a = 3125, then the value of 5(a - 3) is:
- a)25
- b)125
- c)625
- d)1625
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If 5a= 3125, then the value of 5(a- 3)is:a)25b)125c)625d)1625Correct a...
⇒ 5a = 3125 ⇔ 5a = 55
⇒ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
⇒ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
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If 5a= 3125, then the value of 5(a- 3)is:a)25b)125c)625d)1625Correct a...
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If 5a= 3125, then the value of 5(a- 3)is:a)25b)125c)625d)1625Correct a...
To find the value of 5(a-3), we first need to determine the value of 'a' using the given equation 5a = 3125.
Finding the value of 'a':
We divide both sides of the equation 5a = 3125 by 5 to isolate 'a':
5a/5 = 3125/5
a = 625
Now that we have the value of 'a', we can substitute it into the expression 5(a-3).
Finding the value of 5(a-3):
Substituting 'a' with 625, we have:
5(625-3)
Simplifying the expression inside the parentheses:
625-3 = 622
Now, we substitute this value back into the expression:
5(622)
Multiplying 5 by 622:
5 * 622 = 3110
So, the value of 5(a-3) is 3110.
However, the given options do not include 3110. Therefore, it appears that option 'A' (25) is incorrect.
Please double-check the options or provide additional information if needed.
Finding the value of 'a':
We divide both sides of the equation 5a = 3125 by 5 to isolate 'a':
5a/5 = 3125/5
a = 625
Now that we have the value of 'a', we can substitute it into the expression 5(a-3).
Finding the value of 5(a-3):
Substituting 'a' with 625, we have:
5(625-3)
Simplifying the expression inside the parentheses:
625-3 = 622
Now, we substitute this value back into the expression:
5(622)
Multiplying 5 by 622:
5 * 622 = 3110
So, the value of 5(a-3) is 3110.
However, the given options do not include 3110. Therefore, it appears that option 'A' (25) is incorrect.
Please double-check the options or provide additional information if needed.
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If 5a= 3125, then the value of 5(a- 3)is:a)25b)125c)625d)1625Correct answer is option 'A'. Can you explain this answer?
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