What is the solution for the system 6x+9y=21 4x-7y=-27
1 answer:
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Given:
The scale of a map is .
The distance between two buildings is 60 miles.
To find:
The distance between the given building on the map.
Solution:
We have,
It means, 80 miles in real life = on the map.
1 mile in real life = on the map.
60 mile in real life = on the map.
= on the map.
= on the map.
Therefore, the buildings are apart on the map.
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.