Answer:
4/15
Step-by-step explanation:
1) find common denominator, 15 in this problem
2) solve

Answer:
10/3
Step-by-step explanation:
|x+3|=4x-7
So |-(x+3)|=|x+3|
We are going to try out two cases:
-(x+3)=4x-7 and x+3=4x-7
-x-3=4x-7 3=3x-7
-3=5x-7 10=3x
4=5x x=10/3
x=4/5
We are going to test out both because we could something that isn't actually a solution, this is called extraneous.
First thing I'm going to check is 4x-7 for it being positive.
4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative
4(10/3)-7=40/3-7=19/3 which is positive
checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer
The difference between 342 and 324 is different because the digits 2 and 4 are flipped.
342 and 324 are alike because they have the same amount of digits. hope that helped.
Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
There are 6.4 Kilometers in 4 miles