Remark
Brackets are wonderful things. They clarify many a situation that is otherwise not clear. But they can be confusing as well and until you get used to what they do, it is best to remove them and look at the signs they leave behind.
Example One
(+8) -(-8) Let's ignore the first set of brackets for the moment and just focus on the second ones. If you remove them, you get
(+8) - - 8 What does that tell you? You have 2 minus signs in a row. There are no numbers between them, just the two minus signs in a row. When you have an even number of signs, The sign changes to a plus. The rule is two minus's in a row give a plus. So what you have now is
(+8) + 8 To complete the problem remove the set of brackets that I said to ignore.
+8 + 8 = 16 The plus sign has no effect on the answer in this case.
Example Two
(-4) + (-5) Again ignore the first bracket set. Just remove the second set.
(-4) + - 5 Here you have an odd number of minus signs. The five becomes -5
(-4) - 5 Now remove the first set of brackets.
-4 - 5 = -9 is your answer. The main point is what happened to the 5?
Comment.
You can have as many + or - signs in a row as your are asked to consolidate.
If you have (3) - - - - - - - - - - 9 = 12. I think there are 10 minus signs between the 3 and the 9. The 9 becomes plus and the answer is 3 + 9 = 12
On the other hand you could have 3 - - - 9 = 3 - 9 = - 6 because there are an odd number of signs (3), the 9 becomes - and the answer is - 6.
Answer:
Step-by-step explanation:
We know that the 1st equation + 2nd equation + 3rd equation = 45. Now we just need to identify from the infor given what these equations are, then set them to equal 45.
It has already been determined that the 1st equation is x.
The second equation is "3 more than twice the first". Twice the first is 2x, and 3 more is +3; therefore, the second equation is: 2x + 3.
The third equation is "2 more than the first". 2 more than is +2, so the third equation is x + 2.
Now we have all 3:
1st: x
2nd: 2x + 3
3rd: x + 2
Add them all up and set them equal to 45:
x + 2x + 3 + x + 2 = 45.
You don't have choices listed, so it's either that one above, or simplified down to:
4x + 5 = 45
After that, any simplification done will be solving the equation.
Answer:
5
Step-by-step explanation:
What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this... but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.
Now we cross multiply and solve the equation...
So the value of x is 5.
4.05 in a mixed number is 4 1/2
Answer:
1. 0.0000000385
2. 2,100
3. 0.00027
4. 0.008
5. 5,600,000,000,000
Step-by-step explanation:
To convert from scientific notation to decimal form, simply move the decimal point to the right, if the exponent is positive, or to the left, if the exponent is negative, the amount of spaces equal to the exponent .