Answer:
Mean = The numbers added up and divided by the number of numbers.
Step-by-step explanation:
= (13 + 8 + 9 + 6 + 10 + 8) / 6
= 54 / 6
= 9
The mean is 9.
Answer:
8
Step-by-step explanation:
If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:
8 * x / 2 = 32
Now, solve:
![8x/2=32\\4x=32\\x=8](https://tex.z-dn.net/?f=8x%2F2%3D32%5C%5C4x%3D32%5C%5Cx%3D8)
Answer:
f(7) = 158
Step-by-step explanation:
To evaluate f(7) substitute t = 7 into f(t)
f(7) = 3(7)² + 11 = (3 × 49) + 11 = 147 + 11 = 158
The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
<h3>System of Equations</h3>
This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
- Let n represents numbers of new CDs
- Let u represents numbers of old CDs
The equations can be represented as
![n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%20...equation%28i%29%5C%5C15n%20%2B%206u%20%3D%20576%20...%20equation%28ii%29)
Let's take equation (i)
Making n the subject of formula
![n + u = 51\\n = 51 - u...equation(iii)](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%5C%5Cn%20%3D%2051%20-%20u...equation%28iii%29)
we can put equation (iii) into equation (ii)
![15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21](https://tex.z-dn.net/?f=15n%20%2B%206u%20%3D576%5C%5Cn%20%3D%2051%20-%20u%5C%5C15%2851%20-%20u%29%20%2B%206u%20%3D%20576%5C%5C765-15u%20%2B%206u%20%3D%20576%5C%5Ccollect%20like%20terms%5C%5C765-576%3D15u%20-%206u%5C%5C189%3D9u%5C%5C9u%2F9%20%3D%20189%2F9%5C%5Cu%20%3D%2021)
Let's put the value of u into equation (i)
![n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%5C%5Cu%20%3D%2021%5C%5Cn%20%2B%2021%20%3D%2051%5C%5Cn%20%3D%2051%20-%2021%5C%5Cn%20%3D%2030)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
Learn more on system of equations here;
brainly.com/question/13729904