Answer: C. Twenty-four is 40% of what number
Explanation:
Let the answer in each question is x,
Then in A) What is 40% of 24
![\frac{24\times 40}{100} = x](https://tex.z-dn.net/?f=%5Cfrac%7B24%5Ctimes%2040%7D%7B100%7D%20%3D%20x)
![\frac{40}{100} =\frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%20%3D%5Cfrac%7Bx%7D%7B24%7D)
In B) What percent is 24 of 40,
![\frac{24\times x}{100} = 40](https://tex.z-dn.net/?f=%5Cfrac%7B24%5Ctimes%20x%7D%7B100%7D%20%3D%2040)
![\frac{40}{100} = \frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%20%3D%20%5Cfrac%7Bx%7D%7B24%7D)
In C) Twenty-four is 40% of what number
![\frac{x\times 40}{100} = 24](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5Ctimes%2040%7D%7B100%7D%20%3D%2024)
![\frac{40}{100} = \frac{24}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%20%3D%20%5Cfrac%7B24%7D%7Bx%7D)
In D) Forty percent of 24 is what number,
![\frac{40\times 24}{100} = x](https://tex.z-dn.net/?f=%5Cfrac%7B40%5Ctimes%2024%7D%7B100%7D%20%3D%20x)
![\frac{40}{100} =\frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%20%3D%5Cfrac%7Bx%7D%7B24%7D)
Thus, in problem C the given expression will use.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
Answer:
51 messages
Step-by-step explanation:
15% of 60
15*60 = 900
900/100 = 9
and now 60-9 = 51
Final answer: She didnt sent 51 messages to her friend
Answer:
0.1 is the probability that the next customer will purchase a loaf of bread.
Step-by-step explanation:
We are given the following in the question:
Number of customers,n = 500
Number of customers that bought loaf of a bread = 50
![n(A) = 50](https://tex.z-dn.net/?f=n%28A%29%20%3D%2050)
Relative Frequency Approach:
- The relative frequency approach is useful when the classical approach cannot be used.
- If an experiment is performed a large number of time and a particular outcome occurs a percentage of the time, then that particular percentage is close to the probability of that outcome.
Thus, using relative frequency approach of probabilities,
P( next customer will purchase a loaf of bread) =
![=\dfrac{n(A)}{n} = \dfrac{50}{500} = 0.1](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bn%28A%29%7D%7Bn%7D%20%3D%20%5Cdfrac%7B50%7D%7B500%7D%20%3D%200.1)
Thus, 0.1 is the probability that the next customer will purchase a loaf of bread.
Answer:
Center: (-5,2)
Radius: 5
Step-by-step explanation: