Let's first turn all the words into numbers:
Two and four tenths = 2.4
One and six tenths = 1.6
Four and one tenth = 4.1
Now lets represent "a number" as x.
Then translate the wording into a linear equation:
Simplify and isolate the variable:
Divide by 0.8
x>1.375 or x>1 3/8
Answer:
The distance from sea level in mm is 0.5494 mm.
Step-by-step explanation:
Consider the provided information.
It is given that Our scale is that 100 mm on the map is equal to 6371 km in Earth.
This can be written as:
100 mm = 6371 km
Divide both the sides by 6371.
100/6371 mm = 1 km
We need to find the distance from sea level in mm, if the distance is 35 km.
Multiply both sides by 35.
100/6371 × 35 mm = 1 × 35 km
0.5494 mm = 35 km
Hence, the distance from sea level in mm is 0.5494 mm.
I believe you should try to plug in the ordered pair to see if the solutions work.
The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.
Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.
Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.
(16,-3) is a solution to both equations.
Hope this helps!
Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial
