1600 children and 1400 adults attended
<h3>How to determine the number of adults?</h3>
Let the children be x and adult be y.
So, we have the following equations:
x + y = 3000
1.5x + 5y = 9400
Make x the subject in x + y = 3000
x = 3000 - y
Substitute x = 3000 - y in 1.5x + 5y = 9400
1.5(3000 - y) + 5y = 9400
Expand
4500 - 1.5y + 5y = 9400
Evaluate the like terms
3.5y = 4900
Divide both sides by 3.5
y = 1400
Substitute y = 1400 in x = 3000 - y
x = 3000 - 1400
Evaluate
x = 1600
Hence, 1600 children and 1400 adults attended
Read more about system of equations at:
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Answer:
sorry
Step-by-step explanation:
sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes
The answer is x=11
4x-30=14
You add 30 to each side=4x=44
Then you divide 44 by 4 which=11
Unit vector along the direction v = <3,1,-4> is :
![\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}](https://tex.z-dn.net/?f=%5Chat%7Bv%7D%20%3D%20%5Cdfrac%7B3i%20%2B%20j%20%20-4k%7D%7B%5Csqrt%7B3%5E2%20%2B%201%5E2%20%2B%204%5E2%7D%7D%5C%5C%5C%5C%5Chat%7Bv%7D%20%3D%20%5Cdfrac%7B3i%20%2B%20j%20-4k%7D%7B5.1%7D)
So, unit vector opposing the
is :
![\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}](https://tex.z-dn.net/?f=%5Chat%7Bv%27%7D%20%3D%20-%5Chat%7Bv%7D%5C%5C%5C%5C%5Chat%7Bv%27%7D%20%3D%20-%28%20%5Cdfrac%7B3i%20%2B%20j%20-4k%7D%7B5.1%7D%29%5C%5C%5C%5C%5Chat%7Bv%27%7D%20%3D%20%5Cdfrac%7B-3i%20-%20j%20%2B4k%7D%7B5.1%7D)
so, vector of magnitude 3 units in opposite direction from v is :
![\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)](https://tex.z-dn.net/?f=%5Cvec%7BV%7D%20%3D%203%5Chat%7Bv%27%7D%5C%5C%5C%5C%5Cvec%7BV%7D%20%3D%20%5Cdfrac%7B3%7D%7B5.1%7D%28%20-3i%20-j%2B4k%29)
Hence, this is the required solution.