Jorge mowed 18 lawns.
Let the number of lawns mowed by Jorge =x
So according to the question
Number of lawns mowed by sandra = x/3
Number of lawns mowed by Danny =x/2
Number of lawns mowed by Valeria =16
sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.
taking LCM as 6 and solving further we get
By cross Multiplying we get
11x+96=294
11x=198
Solving further for x,
x=198/11
x=18
Therefore, the number of lawns mowed by Jorge is 18 .
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To solve this problem, we will setup a system.
We know that two numbers have a sum of 12 and a difference of 4.
So let's call our first number x and our second number y.
So we know that x + y = 12.
We can also say that x - y = 4.
Now rewrite the equations on top of each other.
<h2>x + y = 12</h2><h2>x - y = 4</h2><h2 />
Now we can use addition to solve this system.
When we add the equations together, the y's will cancel.
So we have 2x = 16.
Now divide both sides by 2 and x = 8.
Now plug an 8 back in for x in the first equation to find that y = 4.
So our numbers are 8 and 4.
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
Answer:
The variance is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 21
The sum of squares is 
Generally the variance is mathematically represented as
substituting values
Not completely sure but i think it is 16
