Answer:A
Step-by-step explanation:
There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.
Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.
<h3>What is the together rate?</h3>
The together rate is the <u>sum of each separate rate</u>.
In this problem, we have that:
Hence, the together rate is the time it would take them to produce one dress working together, and is given by:
![\frac{1}{x} = \frac{1}{2} + \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D)
![\frac{1}{x} = \frac{2 + 1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B2%20%2B%201%7D%7B4%7D)
![3x = 4](https://tex.z-dn.net/?f=3x%20%3D%204)
![x = \frac{4}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
Then one dress takes
of an hour, and the time for twelve dresses is:
![t = 12 \times \frac{4}{3} = 4(4) = 16](https://tex.z-dn.net/?f=t%20%3D%2012%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%20%3D%204%284%29%20%3D%2016)
It would take them 16 hours to sew 12 dresses.
To learn more about the together rate, you can take a look at brainly.com/question/25159431
3 years
15 = 250(0.06)
45/15 = 3
Answer is 8671/6 which is the third choice
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Work Shown:
Find the first term of the sequence by plugging in n = 1
a_n = (5/6)*n + 1/3
a_1 = (5/6)*1 + 1/3 replace n with 1
a_1 = 5/6 + 1/3
a_1 = 5/6 + 2/6
a_1 = 7/6
Repeat for n = 58 to get the 58th term
a_n = (5/6)*n + 1/3
a_58 = (5/6)*58 + 1/3 replace n with 58
a_58 = (5/6)*(58/1) + 1/3
a_58 = (5*58)/(6*1) + 1/3
a_58 = 290/6 + 1/3
a_58 = 145/3 + 1/3
a_58 = 146/3
Now we can use the s_n formula below with n = 58
s_n = (n/2)*(a_1 + a_n)
s_58 = (58/2)*(a_1 + a_58) replace n with 58
s_58 = (58/2)*(7/6 + a_58) replace a_1 with 7/6
s_58 = (58/2)*(7/6 + 146/3) replace a_58 with 146/3
s_58 = (58/2)*(7/6 + 292/6)
s_58 = (58/2)*(299/6)
s_58 = (58*299)/(2*6)
s_58 = 17342/12
s_58 = 8671/6
Erica knits 39 on friday just add 21 and 18 then u get 39 hope i helped