Answer:
Answer of 17 is ㏒(
+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5
Step-by-step explanation:
17. ㏒x + ㏒(x+15)
Using property ㏒a + ㏒b = ㏒a×b
∴ ㏒x + ㏒(x+15)
㏒x×(x+15)
㏒(
+15x)
The answer is ㏒(
+15x)
33. 2^(x-5) = 8
2^(x-5) = 2^3
Using property 2^a = 2^b
Then a = b
∴x-5 = 3
x = 8
The answer is x = 8
35. 2^x = 10
Taking log on both sides gives
㏒2^x = ㏒10
x×㏒2 = ㏒10
x = ㏒10/㏒2
The answer is x = ㏒10/㏒2
37. 8^-x = 12
Taking log on both sides gives
㏒8^-x = ㏒12
-x×㏒8 = ㏒12
x = -㏒12/㏒8
The answer is x = -㏒12/㏒8
39. 5(2^3 × x) = 8
5(8×x) = 8
x = 5
The answer is x=5
200-(25•2)=150
150-(22•3)=84
84-25=59
Andrew has $59 left
The answer is <span>B. 14(m − 8)
</span>
<span>m represent the weight of the boxes that Marco lifted.
</span><span>d represent the weight of the boxes that Drew lifted.
</span><span>The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8
So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the </span><span>total number of pounds Drew lifted is </span> 14(m - 8)
Answer:
15,16,17
Step-by-step explanation:
Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)
x+x+1+x+2=48
3x+3=48
3x=45
x=15
15,16,17
Answer:
b>1
Step-by-step explanation:
12-3b<9
-3b<9-12
-3b<-3
b>1