Adding rational numbers:
1 answer:
Answer:
First, in standard notation, we must define our zero.
In this case, would make sense to define the zero in the surface of the water.
(below is a number line so you can see the process to think this)
Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:
-60
Now the whale goes up 30ft, then the new position of the whale is:
-60ft + 30ft = -30ft.
The correct option is A:
The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.
(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)
You might be interested in
Because ABCD is a rhombus, ΔABC ~ ΔADC.
The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12
Therefore the area of ABCD = 2*12 = 24
Answer: 24
The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12
Therefore the area of ABCD = 2*12 = 24
Answer: 24
Answer:
10x + 7
Step-by-step explanation:
3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)
Remember PEMDAS
P – Parentheses (distribution)
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
First, we will distribute the left side.
3(2x + 5)
3 * 2x = 6x
3 * 5 = 15
Add them together to get:
6x + 15
6x + 15 + 2(2x - 4)
We must now distribute the right side.
2 * 2x = 4x
2 * -4 = -8
Add them together to get:
4x -8
We now have:
6x + 15 + 4x - 8
<u>Let's combine like terms.</u>
6x and 4x are like terms.
Combine: 6x + 4x = 10x
15 and -8 are like terms.
15 - 8 = 7
Now we have 10x + 7
Since 10 and 7 don't have any GCF, we have our answer.
10x + 7
~
Moderator
Math Enthusiast