Answer:
![1)\ 9 : 4 = 2.25 : 1](https://tex.z-dn.net/?f=1%29%5C%209%20%3A%204%20%3D%202.25%20%3A%201)
![2)\ -3 \le x \le 0](https://tex.z-dn.net/?f=2%29%5C%20-3%20%5Cle%20x%20%5Cle%200)
Step-by-step explanation:
Solving (1):
![9 : 4](https://tex.z-dn.net/?f=9%20%3A%204)
Express as a unit ratio
This implies that, the second term must be 1. So, divide by 4
![9 : 4 = 9/4 : 4/4](https://tex.z-dn.net/?f=9%20%3A%204%20%3D%209%2F4%20%3A%204%2F4)
![9 : 4 = 2.25 : 1](https://tex.z-dn.net/?f=9%20%3A%204%20%3D%202.25%20%3A%201)
Solving (2):
Let the number be x.
x
or equal to -3 means:
![x \ge -3](https://tex.z-dn.net/?f=x%20%5Cge%20-3)
x
or equal to 0 means:
![x \le 0](https://tex.z-dn.net/?f=x%20%5Cle%200)
So, we have:
and ![x \le 0](https://tex.z-dn.net/?f=x%20%5Cle%200)
Rewrite as:
and ![x \le 0](https://tex.z-dn.net/?f=x%20%5Cle%200)
Write together:
![-3 \le x \le 0](https://tex.z-dn.net/?f=-3%20%5Cle%20x%20%5Cle%200)
Answer:
425 decameters
Step-by-step explanation:
1 kilometer is equal to one decameter
Answer:
![\frac{2a-2b}{5a+5b} =\frac{2}{5c}](https://tex.z-dn.net/?f=%5Cfrac%7B2a-2b%7D%7B5a%2B5b%7D%20%3D%5Cfrac%7B2%7D%7B5c%7D)
Step-by-step explanation:
![\frac{a+b}{a-b} =c](https://tex.z-dn.net/?f=%5Cfrac%7Ba%2Bb%7D%7Ba-b%7D%20%3Dc)
![\Longleftrightarrow \frac{a-b}{a+b} =\frac{1}{c}](https://tex.z-dn.net/?f=%5CLongleftrightarrow%20%5Cfrac%7Ba-b%7D%7Ba%2Bb%7D%20%3D%5Cfrac%7B1%7D%7Bc%7D)
![\Longleftrightarrow \frac{2}{5} \times \frac{a-b}{a+b} =\frac{2}{5} \times \frac{1}{c}](https://tex.z-dn.net/?f=%5CLongleftrightarrow%20%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7Ba-b%7D%7Ba%2Bb%7D%20%3D%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7Bc%7D)
![\Longleftrightarrow \frac{2\times(a-b)}{5\times(a+b)} = \frac{2\times1}{5\times c}](https://tex.z-dn.net/?f=%5CLongleftrightarrow%20%20%5Cfrac%7B2%5Ctimes%28a-b%29%7D%7B5%5Ctimes%28a%2Bb%29%7D%20%3D%20%5Cfrac%7B2%5Ctimes1%7D%7B5%5Ctimes%20c%7D)
![\Longrightarrow \frac{2a-2b}{5a+5b} =\frac{2}{5c}](https://tex.z-dn.net/?f=%5CLongrightarrow%20%5Cfrac%7B2a-2b%7D%7B5a%2B5b%7D%20%3D%5Cfrac%7B2%7D%7B5c%7D)
The answer is B. (2x + 5)(x + 1)You could answer this by expanding each answer until you found one that matched 2x^2 + 7x + 5, but I will only show how the answer expands:
2x × x = 2x^2
5 × x = 5x
2x × 1 = 2x
5 × 1 = 5
So in total those brackets expand to 2x^2 + 7x + 5. I hope this helps!
5/6 is bigger. First you must have common denominators so your denominator will be 6 therefore you keep the 5/6 and multiply 2/3 x 2