My best estimate for this figure is 15
2x+1.....i think,let me know
Answer:
6,156 is the answer to the equation
Answer:
see explanation
Step-by-step explanation:
Given
F =
(K - 273.15) + 32
Multiply through by 5 to clear the fraction
5F = 9(K - 273.15) + 160 ( subtract 160 from both sides )
5F - 160 = 9(K - 273.15) ← distribute
5F - 160 = 9K - 2458.35 ( add 2458.35 to both sides )
5F + 2298.35 = 9K ( divide both sides by 9 )
K = ![\frac{5F+2298.35}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5F%2B2298.35%7D%7B9%7D)
(b)
When F = 180, then
K = ![\frac{5(180)+2298.35}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28180%29%2B2298.35%7D%7B9%7D)
= ![\frac{900+2298.35}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B900%2B2298.35%7D%7B9%7D)
= ![\frac{3198.35}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3198.35%7D%7B9%7D)
≈ 355.37 ( to the nearest hundredth )
Answer:
The number of sets of four marbles include none of the red marbles= 840
Step-by-step explanation:
Given,
- Number of red marbles = 4
- Number of green marbles = 2
- number of lavender marble = 1
- number of yellow marble = 3
- number of orange marble = 1
Total number of marble except red = 2+1+3+1
= 7
We have to calculate the number of sets of four marbles include none of the red marbles.
So,
The number of sets of four marbles include none of the red marbles can be given by,
![N\ =\ ^7{P}_4](https://tex.z-dn.net/?f=N%5C%20%3D%5C%20%5E7%7BP%7D_4)
![=\ \dfrac{7!}{(7-4)!}](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B7%21%7D%7B%287-4%29%21%7D)
![=\ \dfrac{7!}{3!}](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B7%21%7D%7B3%21%7D)
![=\ \dfrac{7\times 6\times 5\times 4\times 3!}{3!}](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B7%5Ctimes%206%5Ctimes%205%5Ctimes%204%5Ctimes%203%21%7D%7B3%21%7D)
= 7 x 6 x 5 x 4
= 840
So, the total number of required sets are 840.