We have to find the percentage ratio of two numbers. It is
. And the correct answer is D).
Alternatively, by setting up a ratio, we can write that If
400_____100%
36_____x
And x=9%
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
So... hmm bear in mind, when the boat goes upstream, it goes against the stream, so, if the boat has speed rate of say "b", and the stream has a rate of "r", then the speed going up is b - r, the boat's rate minus the streams, because the stream is subtracting speed as it goes up
going downstream is a bit different, the stream speed is "added" to boat's
so the boat is really going faster, is going b + r
notice, the distance is the same, upstream as well as downstream
thus
![\bf \begin{cases} b=\textit{rate of the boat}\\ r=\textit{rate of the river} \end{cases}\qquad thus \\\\\\ \begin{array}{lccclll} &distance&rate&time(hrs)\\ &----&----&----\\ upstream&48&b-r&4\\ downstream&48&b+4&3 \end{array} \\\\\\ \begin{cases} 48=(b-r)(4)\to 48=4b-4r\\\\ \frac{48-4b}{-4}=r\\ --------------\\ 48=(b+r)(3)\\ -----------------------------\\\\ thus\\\\ 48=\left[ b+\left(\boxed{\frac{48-4b}{-4}}\right) \right] (3) \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Ab%3D%5Ctextit%7Brate%20of%20the%20boat%7D%5C%5C%0Ar%3D%5Ctextit%7Brate%20of%20the%20river%7D%0A%5Cend%7Bcases%7D%5Cqquad%20thus%0A%5C%5C%5C%5C%5C%5C%0A%0A%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26distance%26rate%26time%28hrs%29%5C%5C%0A%26----%26----%26----%5C%5C%0Aupstream%2648%26b-r%264%5C%5C%0Adownstream%2648%26b%2B4%263%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%0A%5Cbegin%7Bcases%7D%0A48%3D%28b-r%29%284%29%5Cto%2048%3D4b-4r%5C%5C%5C%5C%0A%5Cfrac%7B48-4b%7D%7B-4%7D%3Dr%5C%5C%0A--------------%5C%5C%0A48%3D%28b%2Br%29%283%29%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Athus%5C%5C%5C%5C%0A48%3D%5Cleft%5B%20b%2B%5Cleft%28%5Cboxed%7B%5Cfrac%7B48-4b%7D%7B-4%7D%7D%5Cright%29%20%5Cright%5D%20%283%29%0A%5Cend%7Bcases%7D)
solve for "r", to see what the stream's rate is
what about the boat's? well, just plug the value for "r" on either equation and solve for "b"
<h3>
Answer to Question 2:</h3>
The answer to question 2 is 8x - 37
Step-by-step explanation:
Firstly, do the distributive property to simplify the terms within the bracket.
4(2x + 10) -3 ---> 8x + 40 - 3
Next, combine like terms
8x + 40 - 3 ---> <u>8x - 37</u>
<em>That's All!</em>
<h3>
Answer to Question 3:</h3>
The answer to question 3 is 6(4c−3)
Step-by-step explanation:
Firstly, find the largest shared factor of 24 and 18, in the equation 24c−18
24: 1,2,3,4,6,8,12,24
18: 1,2,3,6,9,18
The largest between both of them is 6.
Next Step, divide both terms in the equation by 6.
24c−18 ---> 4c-3
Lastly, add brackets add a 6 on the outside of them.
4c-3 ---> 6(4c-3)
<em>That's All!</em>
Answer: 3km 42n
Add 2km 35m and 1km 7m together. This will give you your answer of 3km 42n
Hope this helps comment below for more questions :)
