Answer:
x>=35
Step-by-step explanation:
-4(x+10)>= -7x + 65
-4x-40>= -7x+65
-4x+7x>=65+40
3x>=105
x>=105/3
x>=35
2(3x-5) + 2(-2x+10)
6x-10 + -4x+ 20
=2x+ 10
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
Answer:
x=0
Step-by-step explanation:
13x-2 = 10x-2
Subtract 10x from each side
13x-10x-2 = 10x-2 -10x
3x-2 = -2
Add 2 for each side
3x-2+2 = -2+2
3x= 0
divide by 3
3x/3 = 0/3
x =0
Answer:
She still has to cut 1 3 /16
Step-by-step explanation:
Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 to improper fraction, it becomes 15/4 inches.
She already cut off 2 9/16 inches converting to improper fractions it becomes 41/16 inches.
15/4 - 41/16 = (60-41)/16 = 19/16 inches
19/16 = 1.187 ~ 1
19 - (16 x 1) =3
