Answer:
8,192 ways
Step-by-step explanation:
Here in this question, we want to know the number of ways the 13 question can be a answered.
For each question, we have two answers. So what this mean is that each question can be answered in two ways only.
So since each of the questions can be answered in exactly two ways only;
The number of ways the 13 questions can be answered will be ;
2 * 2 * 2 * 2 * .........* 2 up from the first question to the 13th question.
So the number of ways the 13 questions can be answered is simply 2^13 ways = 8,192 ways
The shortest side Is DF
I Hope this Helps!
Step-by-step explanation:
4. : Multiplication Equality
Addition Equality
Check:
![5 - 2y = 19](https://tex.z-dn.net/?f=5%20-%202y%20%3D%2019)
![- 2y = - 14](https://tex.z-dn.net/?f=%20-%202y%20%3D%20%20-%2014)
![y = 7](https://tex.z-dn.net/?f=y%20%3D%207)
5.
Division Equality
Multiplication Equality
Subtraction Equality
Check:
![\frac{5m}{4} - 3 = - 13](https://tex.z-dn.net/?f=%20%5Cfrac%7B5m%7D%7B4%7D%20%20-%203%20%3D%20%20-%2013)
![\frac{5m}{4} = - 10](https://tex.z-dn.net/?f=%20%5Cfrac%7B5m%7D%7B4%7D%20%20%3D%20%20-%2010)
![5m = - 40](https://tex.z-dn.net/?f=5m%20%3D%20%20-%2040)
![m = - 8](https://tex.z-dn.net/?f=m%20%3D%20%20-%208)
6.
Multiplication Equality
Addition Equality
Division Equality
Check:
![\frac{ - 25r + 13}{4} = - 3](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20-%2025r%20%2B%2013%7D%7B4%7D%20%20%3D%20%20-%203)
![- 25r + 13 = - 12](https://tex.z-dn.net/?f=%20-%2025r%20%2B%2013%20%3D%20%20-%2012)
![- 25r = - 25](https://tex.z-dn.net/?f=%20-%2025r%20%3D%20%20-%2025)
![r = 1](https://tex.z-dn.net/?f=r%20%3D%201)
8.
t=3,. Given
![3t = 9](https://tex.z-dn.net/?f=3t%20%3D%209)
Justification: Multiply both sides by 3
Step 2:
![3t + 50 = 59](https://tex.z-dn.net/?f=3t%20%2B%2050%20%3D%2059)
Add 50 to both sides.
Step 3:
![\frac{3t + 50}{4} = \frac{59}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3t%20%2B%2050%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B59%7D%7B4%7D%20)
Divide both sides by 4.
Check
![\frac{3t + 50}{4} = \frac{59}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3t%20%2B%2050%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B59%7D%7B4%7D%20)
![3t + 50 = 59](https://tex.z-dn.net/?f=3t%20%2B%2050%20%3D%2059)
![3t = 9](https://tex.z-dn.net/?f=3t%20%3D%209)
![t = 3](https://tex.z-dn.net/?f=t%20%3D%203)
Answer:
k= 5b-3/
4
Step-by-step explanation:
3−3k+7k=5b
(Combine −3k and 7k to get 4k.)
3+4k=5b
(Subtract 3 from both sides)
4k=5b−3
(Divide both sides by 4.)
k= 5b-3/
4