Move the decimal 1 unit to the right converting 12.5 to 125.
The number 115 can be expressed as
115.0.
Convert 115.0 to 1150.
We now have 1150 ÷ 125.
Answer: 9.2
Answer:
66
Step-by-step explanation:
Lets say the number is x
So the equation follows : 2x-2=x+64
2x=x+66
x=66
Answer:
![\rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%28%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20-%2022%29%28%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%20%2B%20%204%29)
Step-by-step explanation:
we would like to factor the following:
![\rm\displaystyle ( {a}^{2} + {b}^{2} {)}^{2} - 18( {a}^{2} + {b}^{2} ) - 88](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%20%28%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%7B%29%7D%5E%7B2%7D%20%20-%2018%28%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%29%20-%2088)
let a²+b²=x
thus substitute:
![\rm\displaystyle x {}^{2} - 18x- 88](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%20x%20%7B%7D%5E%7B2%7D%20%20-%2018x-%2088)
rewrite the middle term as 4x-22x:
![\rm\displaystyle x^{2} + 4x - 22x - 88](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%20x%5E%7B2%7D%20%20%2B%204x%20-%2022x%20-%20%2088)
factor out x:
![\rm\displaystyle x( x^{} + 4)- 22x - 88](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%20x%28%20x%5E%7B%7D%20%20%2B%204%29-%2022x%20-%20%2088)
factor out -22:
![\rm\displaystyle x( x^{} + 4)- 22(x + 4)](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%20x%28%20x%5E%7B%7D%20%20%2B%204%29-%2022%28x%20%20%2B%20%204%29)
group:
![\rm\displaystyle( x- 22)(x + 4)](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%28%20x-%2022%29%28x%20%20%2B%20%204%29)
substitute back:
![\rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)](https://tex.z-dn.net/?f=%20%20%5Crm%5Cdisplaystyle%28%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20-%2022%29%28%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%20%2B%20%204%29)
and we are done!
Answer:
EFGH, HFGE, EGFH, HGFE
Step-by-step explanation:
Answer:
Blonde: 54 for mountains
Brunette: 100 for total
Red: 70 for total
Black: 41 for beach
Total: 162 for beach, 197 for mountains, 360 for total
Step-by-step explanation:
add and subtract as needed