Answer:
M= -16
Step-by-step explanation:
Thats the answer if youre doing one step equations
Answer:
(1/2)s = 345
s = 690 (Maggie's savings balance)
Step-by-step explanation:
For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for
- what you're being asked to find (what is the question to answer)
- the information you're given that is relevant to the question asked.
Here, you're asked to find a savings account balance. You're told that $345 is half that amount.
__
After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.
A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)
The problem statement tells us that half the savings account amount is $345, so our equation is ...
(1/2)s = 345
__
The "one step" required to solve this so to multiply both sides of the equation by 2.
s = 690
Maggie had $690 in her savings account before she bought the computer.
The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
Supplementary angles = Angles that add up to 180°.
∠5 + ∠7 = 180° ← supplementary angles
∠1 = ∠5
Since ∠5 + ∠6 = 180°
⇒ ∠1 and ∠6 will also be 180° . ← supplementary angles
--------------------------------------------------------------------------------------
Answer: ∠5 + ∠7 (Answer D) and ∠1 + ∠6 (Answer A)
--------------------------------------------------------------------------------------
Answer:
Step-by-step explanation:
To find the number of kilograms of mercury we need to find how to relate density, mass and, volume. For this we shall recall the density formula:
where 
is the density, 
is the mass and, 
is the volume.
We have the density and want to compute the mass so now we want to know the volume of the pool.
The volume of a rectangular pool is given by the fomula:
.
So for our pool
.
.
Our density is in 
, so the last thing we need to do before computing the mass is to express the density in 
(this is because we want our mass in 
and, we have our volume in 
).
For the density conversion we have to remember that
so
.
With this we can finally compute mass:
.
