Answer:
![10\frac{11}{20}](https://tex.z-dn.net/?f=10%5Cfrac%7B11%7D%7B20%7D)
Step-by-step explanation:
![5\frac{1}{2} + 3\frac{4}{5} + 1\frac{1}{4}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B2%7D%20%2B%203%5Cfrac%7B4%7D%7B5%7D%20%2B%201%5Cfrac%7B1%7D%7B4%7D)
<u>1.Find the LCM(Least Common Multiple).</u>
That would be 20.
<u>2.Multiply so all denominators are equal.</u>
![5\frac{10}{20} + 3\frac{16}{20} + 1\frac{5}{20}](https://tex.z-dn.net/?f=5%5Cfrac%7B10%7D%7B20%7D%20%2B%203%5Cfrac%7B16%7D%7B20%7D%20%2B%201%5Cfrac%7B5%7D%7B20%7D)
<u>3. Add</u>
<u></u>![9\frac{31}{20}](https://tex.z-dn.net/?f=9%5Cfrac%7B31%7D%7B20%7D)
<u>4. Simplify</u>
<u></u>![10\frac{11}{20}](https://tex.z-dn.net/?f=10%5Cfrac%7B11%7D%7B20%7D)
<u>Answer:
</u>
f(x) = 3(x+2)(x-2)
<u>Step-by-step explanation:
</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given function so taking the common factors out of it to get:
The term
is in the form
so it can further be factorized to give:
Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).
If y varies directly as the square of x, that means that y=k*x^2. Plugging y=100 and x=5 into it, we get 100=k*5^2=k*25. Dividing by both sides, we get k=100/25=4. Going back to the original equation, we now know that y=4*x^2. Plugging 9=x in, we get 4*9^2=4*81=324=y
7/2,14/4,21/6,28/8,35/10,42/12,49/14,56/16,63/18,70/20
Answer:
11 2/3 pounds.
Step-by-step explanation:
Let x pounds be the amount in pounds of Brazilian coffee.
x + 27 is the amount of coffee in lbs after the mixing.
So ,working in values of dollars, we have:
6x + 4*27 = 4.5(x + 27)
6x + 104 = 4.5x + 121.5
1.5x = 121.5 - 104 = 17.5
x = 17.5/1.5 = 11 2/3 pounds answer