0.7 inches is your answer
The ratio of the map is 0.9 in = 1 mi, so 0.9 / 0.8 = 0.72 rounds to 0.7
Hope this helps!
12x+24
This is the answer
Step-by-step
0.35x=73.85, comgining moving terms
divide both sides by 0.35
x=211 quarters, which is $52.75 ANSWER
x+5=216 dimes, which is $21.60 ANSWER
That total is $74.35
Answer:
![{x}^{2} - 12x + 5 = 7](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2012x%20%2B%205%20%3D%207)
i) move constants to the right-hand side and change its sign
![{x}^{2} - 12 {x} = 7 - 5](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2012%20%7Bx%7D%20%3D%207%20-%205)
ii) subtract the numbers
![{x}^{2} - 12x = 2](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2012x%20%3D%202)
iii) add (12/2)² to both sides of the equation
![{x}^{2} - 12x + ( \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2012x%20%2B%20%28%20%5Cfrac%7B12%7D%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20%20%3D%202%20%2B%20%28%20%5Cfrac%7B12%7D%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20)
iv) using a²-2ab+b²=(a-b)² , factorize the expression
![(x - \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2}](https://tex.z-dn.net/?f=%28x%20-%20%20%5Cfrac%7B12%7D%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20%20%3D%202%20%2B%20%28%20%5Cfrac%7B12%7D%7B2%7D%20%29%20%7B%7D%5E%7B2%7D%20)
v) calculate the value
![(x - \frac{12}{2}) {}^{2} = 2 + 36](https://tex.z-dn.net/?f=%28x%20-%20%20%5Cfrac%7B12%7D%7B2%7D%29%20%7B%7D%5E%7B2%7D%20%20%20%3D%202%20%2B%2036)
![(x - \frac{12}{2}) {}^{2} = 38](https://tex.z-dn.net/?f=%28x%20-%20%20%5Cfrac%7B12%7D%7B2%7D%29%20%7B%7D%5E%7B2%7D%20%3D%2038)
vi) reduce the fraction
![(x - 6) {}^{2} = 38](https://tex.z-dn.net/?f=%28x%20-%206%29%20%7B%7D%5E%7B2%7D%20%20%3D%2038)
vii) solve the equation for x
![x - 6 = + - \sqrt{38}](https://tex.z-dn.net/?f=x%20-%206%20%3D%20%20%2B%20%20-%20%20%5Csqrt%7B38%7D%20)
1) first value of x
![x - 6 = \sqrt{38}](https://tex.z-dn.net/?f=x%20-%206%20%3D%20%20%5Csqrt%7B38%7D%20)
![x = \sqrt{38} + 6 \: or \: 12.16](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B38%7D%20%20%2B%206%20%5C%3A%20or%20%5C%3A%2012.16)
2) second value of x
![x - 6 = - \sqrt{38}](https://tex.z-dn.net/?f=x%20-%206%20%3D%20%20-%20%20%5Csqrt%7B38%7D%20)
![x = - \sqrt{38} + 6 \: or \: - 0.16](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Csqrt%7B38%7D%20%20%20%2B%206%20%5C%3A%20or%20%5C%3A%20%20-%200.16)
Answer:
there are more stars in the universe