HCF of the algebraic terms 3xy and 4x = x
Answer:
1. x = 39.67
2. x = 15
3. x = 49.29
4. x = -12.8
5. x = 96
6. x = 42
7. x = 36
8. x = 0
9. x = 78
Step-by-step explanation:
Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.
1.
Add 2 to both sides to get rid of -2 on the left side.
Multiply both sides by 7 to get rid of 7 on the left side.
Divide both sides by 3 to get rid of 3 on the left side.
You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.
Transpose 1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.
Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.
Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.
Let's move on with the rest now.
3.
4.
5.
6.
7.
8.
9.
Step 1
find the total volume of the fish tank
volume of a rectangular prism=51*39*28----> 55692 cm³
step 2
find the 95% of the volume of the tank fish
95%=55692 cm³*.95-----> 52907.40 cm³
step 3
find the 5% of the volume of the tank fish
5%=55692*0.05----> 2784.6 cm³
or
55692-52907.4=2784.6 cm³
step 4
find the volume of the log
volume of a cylinder=pi*r²*h
r=5 cm
h=44 cm
volume of a cylinder=pi*5²*44-----> 3454 cm³
step 5
<span>water spills out of the tank=volume of the log-volume of the 5% of the tank
</span>water spills out of the tank=3454 cm³-2784.6 cm³-----> 669.40 cm³
the answer is
669.40 cm³
The order of operations is:
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
So division comes first:
Now subtraction:
Answer: 1.62225 x 10^-2 or 0..0162225
Step-by-step explanation: