Answer: B is
48
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is A
Answer:
Step-by-step explanation: One number is four more than the other." is represented as 'x'
"One number is four more than the other." is represented as 'x+4'
"Their sum is fourteen." is represented as 'x+(x+4)=14'
"Find both numbers."
x+(x+4)=14
x+x+4=14 (add like terms)
2x+4=14 (isolate your 'x' variable on one side of the equality by subtracting 4 from both sides)
2x+4-4=14-4
2x=10 (isolate your 'x' variable by dividing by 2 from both sides)
2x/2=10/2
x=5 (this is the answer to one number)
x+4=5+4=9 (plug in 5 for 'x' and this is the answer to four more than another)
Your two numbers are 5 and 9.
Answer:
option A is the correct option
Answer:
a) 67
b) x= -8 and 4
c) 31
Step-by-step explanation:
a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.
6x - 5 = 5x + 7
-5x + 5 - 5x + 5
x = 12
6(12) - 5 = 5(12) + 7
72 - 5 = 60 + 7
67 = 67
b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.
32 = x^2 - 4x
- 32 - 32
x^2 - 4x - 32
(x - 8)(x + 4)
x - 8 = 0 x + 4 = 0
+ 8 + 8 - 4 - 4
x = -8 and 4
c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.
4x - 17 = 5x - 29
-5x + 17 -5x + 17
-x = -12
/-1 /-1
x = 12
4(12) - 17 = 5(12) - 29
48 - 17 = 60 - 29
31 = 31
