Answer:
0.14, 0.5, 0.71, 0.8, 0.83
Answer: The answer is 4.
Step-by-step explanation: Given that -
The number of cups of yogurt that Carol has to make smoothies is given by
![c_y=1\dfrac{5}{8}=\dfrac{13}{8},](https://tex.z-dn.net/?f=c_y%3D1%5Cdfrac%7B5%7D%7B8%7D%3D%5Cdfrac%7B13%7D%7B8%7D%2C)
and the number of cups of yogurt that each smoothies uses is given by
![c_s=\dfrac{1}{3}.](https://tex.z-dn.net/?f=c_s%3D%5Cdfrac%7B1%7D%7B3%7D.)
Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have
![n\times c_s\leq c_y\\\\\\\Rightarrow n\times \dfrac{1}{3}\leq \dfrac{13}{8}\\\\\\\Rightarrow n\leq\dfrac{39}{8}\\\\\\\Rightarrow n\leq 4\dfrac{7}{8}\\\\\\\Rightarrow n=4.](https://tex.z-dn.net/?f=n%5Ctimes%20c_s%5Cleq%20c_y%5C%5C%5C%5C%5C%5C%5CRightarrow%20n%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%5Cleq%20%5Cdfrac%7B13%7D%7B8%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20n%5Cleq%5Cdfrac%7B39%7D%7B8%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20n%5Cleq%204%5Cdfrac%7B7%7D%7B8%7D%5C%5C%5C%5C%5C%5C%5CRightarrow%20n%3D4.)
Thus, the maximum number of smoothies is 4.
V=V of cube- V pyramid= 8^3- 7^2*8/3=512-49*8/3=512-130,67=381.33 cm^3
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>