1st use the Step! Please, Excuse, My, Dear, Aunt, Sally! Ehich also means (PEMDAS) Parenthesis (), Exponents ", Multiple ×, Division÷, Addition+, and Subtraction-. Than your going to solve! (3n+5)×9=n×7
27n+45=7n
27n-7n=-45
20n=-45
n=-45/20= -9/4
Answer: 
Step-by-step explanation:
Given the following expression shown in the picture:

You need to use a process called "Ratinalization".
By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.
Then, in order to simplify the expression, you can follow the following steps:
<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by
, which is the conjugate of the denominator
.
<em>Step 2</em>. Then you must apply the Distributive property in the numerator.
<em>Step 3</em>. You must apply the following property in the denominator:
Therefore, applying the procedure shown above, you get:

<em>Step 4</em>. You can observe that the expression can be simplified even more. Since:

You get:

It is a bit tedious to write 6 equations, but it is a straightforward process to substitute the given point values into the form provided.
For segment ab. (x1, y1) = (1, 1); (x2, y2) = (3, 4).
... x = 1 + t(3-1)
... y = 1 + t(4-1)
ab = {x=1+2t, y=1+3t}
For segment bc. (x1, y1) = (3, 4); (x2, y2) = (1, 7).
... x = 3 + t(1-3)
... y = 4 + t(7-4)
bc = {x=3-2t, y=4+3t}
For segment ca. (x1, y1) = (1, 7); (x2, y2) = (1, 1).
... x = 1 + t(1-1)
... y = 7 + t(1-7)
ca = {x=1, y=7-6t}
Answer:
5. 3/10
6. 7/12
7. 7/8
8. 4/3
Step-by-step explanation: Hope this helps!
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60