S-G is the expression in terms of G and S
<h3>What is the expression in terms of G and S?</h3>
Given: log_b 4 = G, log_b9 = S and log_b 9/4
To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:
When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.
logₓ (a/c) = logₓa - logₓc
Thus, log_b (9/4) = log_b 9 - log_b 4 = S - G
(Note: log_b 4 = G and log_b9= S)
Therefore, the expression log_b (9/4) in terms of G and S is S-G
Learn more about logarithm rules on:
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Answer: you are correct
Step-by-step explanation:
Answer:Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.
Hope this helped
Answer:
The number of pounds of cashew is 11
Step-by-step explanation:
Let P represent the peanut
Let C represent the cashew nut.
From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:
P + C = 16 (1)
The total cost = $49.50
Cost per peanut = $2.75
Cost per cashew = $3.25
The above can be represented as:
49.50 = 2.75P + 3.25C. (2)
From equation 1,
P + C = 16
P = 16 — C
Substitute the value of P into equation 2:
49.50 = 2.75P + 3.25C.
49.50 = 2.75(16 — C) + 3.25C
49.50 = 44 — 2.75C + 3.25C
49.50 = 44 + 0.5C
Collect like terms
49.50 — 44 = 0.5C
5.5 = 0.5C
Divide both side by 0.5
C = 5.5/0.5
C = 11
Therefore, the number of pounds of cashew is 11
