3% as a decimal is 0.03 and I think 3% as a fraction in simplest form is 3/100
3(2x/5)
Final result :
6x
——
5
Step by step solution :
Step 1 :
x
Simplify —
5
Equation at the end of step 1 :
x
3 • (2 • —)
5
Step 2 :
Final result :
6x
——
5
10 goes into 67 six times making it 6 7/10, which cannot be simplified. Therefore, if can be left as it is, an improper fraction 67/10, or a mixed number 6 7/10.
For this question we can solve it by setting up a proportion:

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:


So now we know that
the total distance between the towns is 42.5 miles.
<h2>
Answer: y = ⁵/₂ x - 13 OR y + 8 =
⁵/₂ x - 5 </h2>
<h3>
Step-by-step explanation:</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.
⇒ if the slope of this line = - ²/₅
then the slope of the perpendicular line (m) = ⁵/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ⁵/₂ (x - 2)
∴ y + 8 = ⁵/₂ (x - 2)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y + 8 = ⁵/₂ (x - 2)
y = ⁵/₂ x - 13