Answer:
The answer would be 33 animals in the Safari park
Step-by-step explanation:
24
+9
-----
33
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
Answer:
The quadratic equation in terms of v is v² + 2 v + 180 = 0
Step-by-step explanation:
Given as :
The distance between house to the school = d = 6 km
The uniform speed = v km/h
So, Time = ![\dfrac{\textrm Distance}{\textrm speed}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Distance%7D%7B%5Ctextrm%20speed%7D)
or, t = ![\dfrac{\textrm d}{\textrm v}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20d%7D%7B%5Ctextrm%20v%7D)
Or, t = ![\dfrac{\textrm 6}{\textrm v}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%206%7D%7B%5Ctextrm%20v%7D)
<u>Now, Again</u>
The speed is increase by 2 km/h
i.e speed = (v + 2) km/h
So, Time taken = t' = (t -
)hours
i.e t' = (t -
)hours
Now, Time = ![\dfrac{\textrm Distance}{\textrm speed}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Distance%7D%7B%5Ctextrm%20speed%7D)
So, (t -
) = ![\dfrac{\textrm d}{\textrm v}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20d%7D%7B%5Ctextrm%20v%7D)
Or, (t -
) = ![\dfrac{\textrm 6}{\textrm (v + 2)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%206%7D%7B%5Ctextrm%20%28v%20%2B%202%29%7D)
Or ,
-
= ![\dfrac{\textrm 6}{\textrm (v + 2)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%206%7D%7B%5Ctextrm%20%28v%20%2B%202%29%7D)
Or ,
=
Or, (90 - v) × (v + 2) = 6 × 15 v
Or, 90 v - 180 - v² - 2 v = 90 v
Or, v² + 2 v + 180 = 90 v - 90 v
Or, v² + 2 v + 180 = 0
So, The quadratic equation in terms of v
v² + 2 v + 180 = 0
Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer
Your answer is C. Hope this help :D