Answer:
1) Find the Least Common Denominator (LCD)
2) Find the equivalent fractions.
3) Add or subtract the fractions and add or subtract the whole numbers.
4) Write your answer in lowest terms.
Answer:
16 muffins in each batch
Step-by-step explanation:
112/7=16
Answer:
720 beans in total
Step-by-step explanation:
I would set this up with proportions, so-
1 180
4 x
Then cross multiply-
4 x 180 = 720
Divide-
720/1 = 720
720 is your answer
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
<h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>x</h2><h2>3</h2><h2>−</h2><h2>9</h2><h2>x</h2><h2>2</h2><h2>+</h2><h2>24</h2><h2>x</h2><h2>−</h2><h2>10</h2><h2>Taking first derivative of</h2><h2> </h2><h2> </h2><h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>For finding critical points substituting</h2><h2> </h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>(</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>6</h2><h2>x</h2><h2>+</h2><h2>8</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>4</h2><h2>)</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>2</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>After solving the value of x is</h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2><h2>Thus critical points at</h2><h2> </h2><h2> </h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2>