Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
Here are the factors of 424,380:
<span>1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, and 424380</span>
Answer:
pieces
Step-by-step explanation:
Suppose you have a 7 feet long wood.
You need to find how many
-foot pieces can be cut from this wood.
To find this number of pieces, you have to divide the whole length of the wood by the length of one piece:
![7:\dfrac{1}{3}=\dfrac{7}{1}\cdot \dfrac{3}{1}=21](https://tex.z-dn.net/?f=7%3A%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B7%7D%7B1%7D%5Ccdot%20%5Cdfrac%7B3%7D%7B1%7D%3D21)
ANSWER
![a_{55}=161](https://tex.z-dn.net/?f=a_%7B55%7D%3D161)
EXPLANATION
The general term for the sequence is
![a_n=-1+3(n-1)](https://tex.z-dn.net/?f=a_n%3D-1%2B3%28n-1%29)
To find the 55th term, we have to substitute
![n = 55](https://tex.z-dn.net/?f=n%20%3D%2055)
in to the general term and simplify.
This implies that,
![a_{55}=-1+3(55-1)](https://tex.z-dn.net/?f=a_%7B55%7D%3D-1%2B3%2855-1%29)
![a_{55}=-1+3(54)](https://tex.z-dn.net/?f=a_%7B55%7D%3D-1%2B3%2854%29)
![a_{55}=-1+162](https://tex.z-dn.net/?f=a_%7B55%7D%3D-1%2B162)
![a_{55}=161](https://tex.z-dn.net/?f=a_%7B55%7D%3D161)
Therefore the 55th term is 161.