9514 1404 393
Answer:
x - 4
Step-by-step explanation:
The expression simplifies to ...

For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...
x - 4 . . . . for x ≥ 4
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Answer: Angle VU is 44 degrees
Step-by-step explanation:
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Ratio of sapphires to emeralds = 3:1
Let the number of sapphires be 3x.
Let the number of emeralds be 'x'.
According to question, if 6 emeralds are added, we get that

So, Number of sapphires = 3×3 = 9
Number of emeralds = 3
So, total emeralds would be 3+ 6 = 9.
Hence, option 'A' is correct.
Answer:
The rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.
Step-by-step explanation:
Given that a motorboat travels 441 kilometers in 9 hours going upstream and 388 kilometers in 4 hours going downstream, to determine what is the rate of the boat in still water and what is the rate of the current, the following calculation must be performed:
Upstream = 441/9 = 49 km per hour
Downstream = 388/4 = 97 km per hour
(97 + 49) / 2 = X
146/2 = X
73 = X
97-73 = 24
49-74 = -24
Therefore, the rate of the boat in still water is 73 km per hour, and the speed of the current is 24 km per hour.