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.
Answer:
B
Explanation:
The force of gravity will change and that will affect the weight. The mass will stay the same. The mass cannot change unless some of the object is taken away.
Answer:
The equation doesn't represent a proportional relationship.
Step-by-step explanation:
- Proportional equations are those linear equations() where the value of b≠0, i.e. the line passes through origin.
- shows a equation that potrays linear relationship between the variables x and y. This type of equation is an example of non-proportional relationship.
- The remaining three equations are in the form of where k is the constant of proportionality. This type of equations represent proportional relationship.
Answer:
<h3>42</h3>
<u>Required probability:</u>
- P(≤4) = (18 + 14 + 20 + 16)/(18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.68
<h3>43</h3>
<u>Required probability:</u>
- P(>3) = (20 + 16 + 15 + 17) / (18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.68
<h3>44</h3>
<u>At least 2 students pass:</u>
- P(2 or 3) = (3/5)² + (3/5)³ = 9/25 + 27/125 = 72/125 = 0.576
<h3>45</h3>
<u>Number of x's:</u>
- x/108 = 4/27
- x = 108*4/27
- x = 16
Answer:
n = 3.68
Explanation:
We know that:
1 mg is equivalent to 0.0001 dag
To convert 38600 mg to dag, we will simply use cross multiplication as follows:
1 mg ..............> 0.0001 dag
38600 mg ......> n
n = (38600*0.0001) / 1
n = 3.68
Hope this helps :)