Answer:
Step-by-step explanation:
<u>GIVEN:
</u>
To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.
![\sf{\dfrac{8}{7}=\dfrac{x}{21} }](https://tex.z-dn.net/?f=%5Csf%7B%5Cdfrac%7B8%7D%7B7%7D%3D%5Cdfrac%7Bx%7D%7B21%7D%20%20%7D)
First, thing you do is switch sides.
![\sf{\dfrac{x}{21}=\dfrac{8}{7} }](https://tex.z-dn.net/?f=%5Csf%7B%5Cdfrac%7Bx%7D%7B21%7D%3D%5Cdfrac%7B8%7D%7B7%7D%20%20%7D)
Multiply by 21 from both sides.
![\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B%5Cdfrac%7B21x%7D%7B21%7D%3D%5Cdfrac%7B8%2A21%7D%7B7%7D%20%7D)
Solve.
Multiply the numbers from left to right.
Use the order of operations.
PEMDAS stands for:
- Parentheses
- Exponents
- Multiply
- Divide
- Add
- Subtract
![\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B%5Cdfrac%7B8%2A21%7D%7B7%7D%3D%5Cdfrac%7B168%7D%7B7%7D%3D24%20%7D)
![\Longrightarrow: \boxed{\sf{x=24}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Cboxed%7B%5Csf%7Bx%3D24%7D%7D)
- <u>Therefore, the final answer is x=24.</u>
I hope this helps. Let me know if you have any questions.
-5 4/5 because it is less than -5
Solution
Here the first term = -2
5th term = -1/8
Now we have to find the common ratio (r)
Fifth term A5 = -1/8
-1/8 =![a_{1} r^{4}](https://tex.z-dn.net/?f=a_%7B1%7D%20r%5E%7B4%7D)
Here ![a_{1} = -2](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%20-2)
Plug in
in the fifth term and find the value of r.
-1/8 = -2![r^{4}](https://tex.z-dn.net/?f=r%5E%7B4%7D)
![r^{4} = \frac{-1/8}{-2}](https://tex.z-dn.net/?f=r%5E%7B4%7D%20%3D%20%5Cfrac%7B-1%2F8%7D%7B-2%7D)
![r^{4} = \frac{1}{16}](https://tex.z-dn.net/?f=r%5E%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Taking 4th root, we get
r = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Now let's find the second term.
first term *r = -2 *1/2 = -1
2nd term = -1
3rd term = second term * 1/2 = -1 * 1/2 = -1/2
4th term = 3rd term *r = -1/2 *1/2 = -1/4
Thank you :)
Answer:
b
Step-by-step explanation:
82% of 50, 170% of 30, 65% of 80. (in order: 41, 51, 52)