Answer:
-199
Step-by-step explanation:
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times 2 times 2
12=2 times 2 times 3
4=2 times 2
3=3
lcm=2 times 2 times 2 times 3=24
5/8 times 3/3=15/24
5/12 times 2/2=10/24
3/1 times 24/24=72/24
1/4 times 6/6=6/24
2/3 times 8/8=16/24
we now have
15/24-10/24(72/24-6/24)+16/24
pemdas
simplify parenthasees first
72/24-6/24=66/24
now we have
15/24-10/24(66/24)+16/24
multiply
15/24-660/576+16/24
make same bottom number
15/24 times 24/24=360/576
16/24 times 24/24=384/576
360/576-660/576+384/576
84/576
7/48
answer is 7/48
Answer: - x - 120
Explanation: You want to find the opposite of (120-x) not just x, so you just put the negative symbol next to both the variables.
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).
X=lenght of the shortest side
15 in / 8 in=9 in / x
15 in * x=9 in * 8 in
x=(9 in * 8 in) / 15 in=72 in² / 15 in=4.8 in
Answer: C) 4.8 inches.