Answer:
(A.) 00,2,4,6
Step-by-step explanation:
00+2=2
2+2=4
2+4=6
Each number is added by the same number, 2, so this is the arithmetic sequence.
Answer:
A= 365 B=700 C=76.5
Step-by-step explanation:
Answer:
Joe's wife must drive at a rate of 45km/hour.
Step-by-step explanation:
We are given that Joe leaves home and bikes at a speed of 30km/hour. Joe's wife leaves home five minutes later by car, and we want to determine her speed in order for her to catch up to Joe in 10 minutes.
Since Joe bikes at a speed of 30km/hour, he bikes at the equivalent rate of 0.5km/min.
Then after five minutes, when his wife leaves, Joe is 5(0.5) or 2.5 km from the house. He will still be traveling at a rate of 0.5km/min, so his distance from the house can be given by:
![2.5+0.5t](https://tex.z-dn.net/?f=2.5%2B0.5t)
Where <em>t</em> represents the time in minutes after his wife left the house.
And since we want to catch up in 10 minutes, Joe's distance from the house 10 minutes after his wife left will be:
![2.5+0.5(10)=7.5\text{ km}](https://tex.z-dn.net/?f=2.5%2B0.5%2810%29%3D7.5%5Ctext%7B%20km%7D)
Let <em>s</em> represent the wife's speed in km/min. So, her speed times 10 minutes must total 7.5 km:
![10s=7.5](https://tex.z-dn.net/?f=10s%3D7.5)
Solve for <em>s: </em>
<em />
<em />
Thus, Joe's wife must drive at a rate of 0.75km/min, or 45km/hour.
Answer:$23.69
Step-by-step explanation: if Thomas sells all the bottles,
he earns , 36×0.75=$27.00
therefore, his profit equals 27.00-4.69=$23.69
Using the factors of 18, it is found that he can hang the pictures in the wall in the following ways:
- Three rows of 6 pictures.
- Eighteen rows of 1 picture.
<h3>Factors:</h3>
The factors of 18 are the numbers by which 18 is divisible by, which are: {1, 2, 3, 6, 9, 18}, since:
![\frac{18}{1} = 18, \frac{18}{2} = 9, \frac{18}{3} = 6, \frac{18}{6} = 3, \frac{18}{9} = 2, \frac{18}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B1%7D%20%3D%2018%2C%20%5Cfrac%7B18%7D%7B2%7D%20%3D%209%2C%20%5Cfrac%7B18%7D%7B3%7D%20%3D%206%2C%20%5Cfrac%7B18%7D%7B6%7D%20%3D%203%2C%20%5Cfrac%7B18%7D%7B9%7D%20%3D%202%2C%20%5Cfrac%7B18%7D%7B18%7D)
Considering the factors, the ways to organize the pictures are:
- Three rows of 6 pictures.
- Eighteen rows of 1 picture.
To learn more about factors, you can take a look at brainly.com/question/10269328