Answer:
x=3.903
Step-by-step explanation:
![2^{x-3}.5^{x-1}=200\\2^x.2^{-3}.5^x.5^{-1}=200\\\frac{2^x}{2^3}.\frac{5^x}{5^1}=200\\\frac{2^x.5^x}{2^3.5}=200\\\frac{(2.5)^x}{8.5}=200\\10^x=200 \times 40\\10^x=8000\\log 10^x=log8000\\x=\frac {log8000}{log10}=log8000=log 8\times log1000=log 8+log 1000=log2^3+log10^3=3log2+3log10=3log2+3 \approx0.903+3 \approx3.903](https://tex.z-dn.net/?f=2%5E%7Bx-3%7D.5%5E%7Bx-1%7D%3D200%5C%5C2%5Ex.2%5E%7B-3%7D.5%5Ex.5%5E%7B-1%7D%3D200%5C%5C%5Cfrac%7B2%5Ex%7D%7B2%5E3%7D.%5Cfrac%7B5%5Ex%7D%7B5%5E1%7D%3D200%5C%5C%5Cfrac%7B2%5Ex.5%5Ex%7D%7B2%5E3.5%7D%3D200%5C%5C%5Cfrac%7B%282.5%29%5Ex%7D%7B8.5%7D%3D200%5C%5C10%5Ex%3D200%20%5Ctimes%2040%5C%5C10%5Ex%3D8000%5C%5Clog%2010%5Ex%3Dlog8000%5C%5Cx%3D%5Cfrac%20%7Blog8000%7D%7Blog10%7D%3Dlog8000%3Dlog%208%5Ctimes%20log1000%3Dlog%208%2Blog%201000%3Dlog2%5E3%2Blog10%5E3%3D3log2%2B3log10%3D3log2%2B3%20%5Capprox0.903%2B3%20%5Capprox3.903)
Answer:
(a+b+c) (x+y+z)
Step-by-step explanation:
hope this helps to uh
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 2(x - 4)
g(x) = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 20 = 2(x - 4)
- Divide 2 on both sides: 10 = x - 4
- Add 4 to both sides: 14 = x
- Rewrite: x = 14
Answer:
8. 6 shirts ($61)
9. $61
10. 32 shirts (256)
Step-by-step explanation:
To get the answers you could either graph the rates or create a table. Creating a table is easier to understand, graphing is much faster. I attached pictures of the graphs. Y axis being amount of $ and x axis being the amount of shirts.
Second graph is for questions 8 and 9
first graph for question 10
The difference is that i took out shipping for question 10
Table explains 8 and 9 more easily