Subtract 3 to get:
7k^2-6k=0
Clearly, we can factor out a k to find that:
k(7k-6)=0
If either k or 7k-6 is zero, the whole expression is zero, so our solutions are zero and 6/7.
Answer:
4c + 6a < = 120 ...4(20) + 6(6) = 116 <== correct
Step-by-step explanation:
I am not entirely sure if this is correct, so forgive me if I am wrong
(┬┬﹏┬┬)
Answer: 266,667 bottles
Step-by-step explanation:
- 80/300 people preferred soft drink z. This as a decimal is 0.2666
This means that out of the million, 0.2666666666666667% need to be soft drink z
1,000,000x0.2666666666666667 =266,666.667
This can be rounded to 266,667 bottles of soft drink z
(I chose to include the whole decimal for the most accurate results, and save rounding for the last step)
Answer:
Step-by-step explanation:
This is an arithmetic sequence
a1 = -2
Difference = 2nd term - first term
![=\frac{-5}{4}-[-2]\\\\=\frac{-5}{4}+2\\\\=\frac{-5}{4}+\frac{2*4}{1*4}\\\\=\frac{-5+8}{4}=\frac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-5%7D%7B4%7D-%5B-2%5D%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B4%7D%2B2%5C%5C%5C%5C%3D%5Cfrac%7B-5%7D%7B4%7D%2B%5Cfrac%7B2%2A4%7D%7B1%2A4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5%2B8%7D%7B4%7D%3D%5Cfrac%7B3%7D%7B4%7D)

Kory and Leanne will meet each other again after 36 minutes from starting i.e. at 10:36 am .
<u>Step-by-step explanation:</u>
Here we have , Leanne runs a lap in 12 minutes. Kory runs a lap in 9 minutes. We need to find out that If they both start running at 10 am, at what time will they both cross the start together again . Let's find out:
Kory runs a lap in 9 minutes and , Leanne in 12 minutes , in order to find at what time will they both cross the start together again we will find LCM of 9 & 12 :
⇒ 
⇒ 
So ,LCM of 9 & 12 is 36 .That means Kory and Leanne will meet each other again after 36 minutes from starting i.e. at 10:36 am .
In clear way , Kory will run race as :
1st lap = 9 minutes
2nd lap = 18 minutes
3rd lap = 27 minutes
4th lap = 36 minutes , i.e. at 10:36 am he'll complete his 4th lap
For , Leanne
1st lap = 12 minutes
2nd lap = 24 minutes
3rd lap = 36 minutes i.e. at 10:36 am he'll complete his 3rd lap .
This means Kory & Leanne will meet at 10:36 am completing there 4th and 3rd lap respectively .