Hi
45. A) x
46. B) 18
47. D) 1/27
<span>3 = log(8) + log(x³) </span>
<span>When adding logs, you are multiplying the terms altogether. </span>
<span>3 = log(8x³) </span>
<span>Then, by log_a b = n ==> aⁿ = b: </span>
<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>
<span>Finally, solve for x. </span>
<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>
<span>Hence, x = 5. </span>
Answer:
1. x > 13
2. x < -2
3. x < 5
Step-by-step explanation:
2x - 3 > 23
<u>→Add 3 to both sides:</u>
2x > 26
<u>→Divide both sides by 2:</u>
x > 13
2x - 3 > 3x - 1
<u>→Subtract 2x from both sides:</u>
-3 > x - 1
<u>→Add 1 to both sides:</u>
-2 > x
5x - 4 < 21
<u>→Add 4 to both sides:</u>
5x < 25
<u>→Divide both sides by 5:</u>
x < 5
Answer: 18
Step-by-step explanation:
The options are:
A. 23
B. 18
C. 14
D. 32
Since we are told that the ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. This simply means that the ratio of flour tortillas to the total number of packages on the shelf was (16 -7 = 9) 9 to 16.
Therefore, to get the number that could represent the number of packages of flour tortillas the clerk put on the shelf we have to find the multiple of 9 in the question given . This will be:
Multiples of 9 = 9, 18, 27, 36, 45 ....
Based on the option, the answer will be 18.
