Greetings!
Here is how we simplify the following expression:
![=\frac{500}{4\frac{13}{14}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B500%7D%7B4%5Cfrac%7B13%7D%7B14%7D%7D)
First, convert the mixed number into a improper fraction. Not sure how to do that? Here is a guide:
→ Multiply the whole number by the denominator of the fraction:
⇒ ![(4)(14)=56](https://tex.z-dn.net/?f=%20%284%29%2814%29%3D56%20)
→ Add the product to the numerator of the fraction:
⇒ ![56+13=69](https://tex.z-dn.net/?f=%2056%2B13%3D69%20)
The improper fraction would be: ![\boxed{\frac{69}{14}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Cfrac%7B69%7D%7B14%7D%7D)
![= \frac{500}{\frac{69}{14}}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B500%7D%7B%5Cfrac%7B69%7D%7B14%7D%7D)
Flip the numerator and denominator to turn the division into multiplication:
![=(500)(\frac{14}{69})](https://tex.z-dn.net/?f=%20%3D%28500%29%28%5Cfrac%7B14%7D%7B69%7D%29%20%20)
![=(\frac{500}{1})(\frac{14}{69})](https://tex.z-dn.net/?f=%20%3D%28%5Cfrac%7B500%7D%7B1%7D%29%28%5Cfrac%7B14%7D%7B69%7D%29%20%20)
Multiply the numerators of the fractions by each other. Complete the same thing with the denominators. <em>Example:
</em>
![=\frac{(500)(14)}{(1)(69)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28500%29%2814%29%7D%7B%281%29%2869%29%7D)
![=\frac{7000}{69}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7000%7D%7B69%7D)
The Answer is:
![\boxed{=\frac{7000}{69}}](https://tex.z-dn.net/?f=%5Cboxed%7B%3D%5Cfrac%7B7000%7D%7B69%7D%7D)
I hope this helped!
-Benjamin
Base = x^2 + 5x + 4
volume = base × height
volume = ( x^2 + 5x + 4 ) × 7
volume = 7x^2 + 35x + 28
Hey there! :D
There are 12 months in a year.
12*3= 36
36*250= 9000
You will have $9000 towards the purchase of the boat after three years.
I hope this helps!
~kaikers
Answer: y = 2x-7
Step-by-step explanation: