![(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7Dx%2B1%29%28%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%29)
Use distributive property to remove the parentheses:
![(a+b)(c+d)=ac+ad+bc+bd](https://tex.z-dn.net/?f=%28a%2Bb%29%28c%2Bd%29%3Dac%2Bad%2Bbc%2Bbd)
![\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\ \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\ \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\ \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\ \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2A%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B1%7D%7B5%7Dx%2A%5Cfrac%7B5%7D%7B4%7D%2B1%2A%5Cfrac%7B1%7D%7B6%7Dx%2B1%2A%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20Multiplication%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dfractions%3A%20%5C%5C%20%5Cfrac%7Ba%7D%7Bb%7D%2A%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Ba%2Ac%7D%7Bb%2Ad%7D%20%5C%5C%20%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B30%7Dx%5E2%2B%5Cfrac%7B5%7D%7B20%7Dx%2B%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B30%7Dx%5E2%2B%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B1%7D%7B6%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20Addition%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dfractions%3A%20%5C%5C%20%5Cfrac%7Ba%7D%7Bb%7D%2B%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Bad%2Bbc%7D%7Bbd%7D%20%5C%5C%20%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B30%7Dx%5E2%2B%28%5Cfrac%7B6x%2B4x%7D%7B24%7D%29%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B30%7Dx%5E2%2B%5Cfrac%7B10%7D%7B24%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20Simplify%3A%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B30%7Dx%5E2%2B%5Cfrac%7B5%7D%7B12%7Dx%2B%5Cfrac%7B5%7D%7B4%7D%20%5Cend%7Bgathered%7D)
Then, the product in the simplest form is:
Answer: Y is less than or equal to 65 and X + y= less than or equal to 95
Answer:
The answe is 2/5m=4
Step-by-step explanation:
If he ate 4 of them, but it means he ate 2/5 muffins,
4 muffins = 2/5 muffins
You substitute x muffins for how much muffins she baked in all -
2/5 * x muffins = 4 or 2/5m = 4
Hope that helped :) <3
Answer: from up to down 9, from side to side 12