There are two types of flowers are given: Potted pansies and Marigolds.
Number of Potted pansies flowers sold = 48.
Number of Marigolds flowers = 96.
<em>Total number of flowers sold = Number of Potted pansies flowers sold+Number of Marigolds flowers = 48+96 = 144 flowers.</em>
Fraction of the marigolds flowers sold to the total flowers sold =
.
Reducing it into simplest fraction by dividing top and bottom by 48, we get
.
Therefore,
of the flowers sold were marigolds.
Solution :
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
<h2>
Step-by-step explanation:</h2>
![\frac{1}{(x - 5)} + \frac{3}{(x - 2)} - 4](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%28x%20%20-%205%29%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B%28x%20-%202%29%7D%20%20-%204)
<h2 /><h2>1. Multiply by LCM</h2>
![x = 2 + 3( x - 5) = 4 - (x - 5)(x + 2)](https://tex.z-dn.net/?f=x%20%3D%202%20%2B%203%28%20x%20-%205%29%20%3D%204%20-%20%28x%20-%205%29%28x%20%2B%202%29)
<h2>2. Solve</h2><h2>
![x = 2 + 3(x - 5) = 4 (x - 5)(x + 2)](https://tex.z-dn.net/?f=x%20%3D%202%20%2B%203%28x%20-%205%29%20%3D%204%20%28x%20-%205%29%28x%20%20%2B%202%29)
</h2>
<h3>
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
</h3><h2>3.Verify Solutions</h2>
<h3>Find undefined (singularity) points : </h3><h3>x=5,x=–2</h3>
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
Answer:
32
Step-by-step explanation:
The three consecutive numbers are: 32, 33, 34
They add up to 99
Answer:
if you mean 17/4 tablespoons then it would take .425 tablespoons to make one cup of coffee, because 17/4 is 4.25 as a decimal.
Step-by-step explanation:
Answer:
4 + 4 + 3 + 3 = 14 ft
Step-by-step explanation: