Answer: 375
Step-by-step explanation:
You need to multiply the cost of each notebook by how many notebooks the store wants to buy.
Answer:
76°
Step-by-step explanation:
![\because \: m \angle \: 1 = m \angle \: 12 \\ (exterior \: alternate \: \angle s) \\ \\ \therefore \: (5x + 44) \degree = (8x + 8) \degree \\ \\ \therefore \: 5x + 44 = 8x + 8 \\ \\ 5x - 8x = 8 - 44 \\ \\ - 3x = - 36 \\ \\ x = \frac{ - 36}{ - 3} \\ \\ \huge \red{x = 12} \\ \\ \because \: m \angle \: 12 = (8x + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (8 \times 12 + 8) \degree \\ \\ \therefore \: m \angle \: 12 = = (96+ 8) \degree \\ \\ \therefore \: \purple{m \angle \: 12 = 104 \degree} \\ \\ \because \: m \angle \: 10 + m \angle \: 12 = 180 \degree \\(linear \: pair \: \angle s) \\ \\ \therefore \: m \angle \: 10 + 104 \degree = 180 \degree \\ \\ \therefore \: m \angle \: 10 = 180 \degree - 104 \degree \\ \\ \huge \orange{ \boxed{\therefore \: m \angle \: 10 = 76 \degree }}](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%201%20%3D%20m%20%5Cangle%20%5C%3A%2012%20%5C%5C%20%28exterior%20%5C%3A%20alternate%20%5C%3A%20%20%5Cangle%20s%29%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%285x%20%2B%2044%29%20%5Cdegree%20%3D%20%288x%20%2B%208%29%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%205x%20%2B%2044%20%3D%208x%20%2B%208%20%5C%5C%20%20%5C%5C%205x%20-%208x%20%3D%208%20-%2044%20%5C%5C%20%20%5C%5C%20%20-%203x%20%3D%20%20-%2036%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20-%2036%7D%7B%20-%203%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7Bx%20%3D%2012%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%288x%20%2B%208%29%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%3D%20%288%20%5Ctimes%2012%20%2B%208%29%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20%3D%20%2896%2B%208%29%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cpurple%7Bm%20%5Cangle%20%5C%3A%2012%20%20%3D%20104%20%5Cdegree%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cbecause%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%2B%20m%20%5Cangle%20%5C%3A%2012%20%20%3D%20180%20%5Cdegree%20%5C%5C%28linear%20%5C%3A%20pair%20%5C%3A%20%20%5Cangle%20s%29%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%2B%20104%20%5Cdegree%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%3D%20180%20%5Cdegree%20%20-%20104%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%20%5Cangle%20%5C%3A%2010%20%3D%2076%20%5Cdegree%20%7D%7D)
Answer:
x = 2 and x = 4
Step-by-step explanation:
The solutions are the points of intersection. Those points as marked on the graph give both the x-value (2 or 4) and the associated function value (2 or -22).
The solution to the equation f(x) = g(x) doesn't care what the function value is (except that the two function values are equal). The solution is the x-value that makes those function values equal.
The height must be 12.8.
We first find the volume of paint in the larger can. The formula for the volume of a cylinder is V=πr²h. Using the radius and height of the large can, we have
V=3.14(8²)(20) = 4019.2
Since he has 1/4 of the can left, he has 4019.2/4 = 1004.8 cm³ of paint.
Using this volume and the dimensions of the smaller can, we work backward to find the height of the paint in the can:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h