Answer:
n = 32
Step-by-step explanation:
<u><em>Given:</em></u>
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<u><em>Solve:</em></u>
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How many liters of 10% acid solution should be mixed with 30 liters of a 50% acid solution to get a mix that a 20% acid?
1 answer:
The attached diagram shows the QUANTITIES and concentrations of each container. The first container has x liters in it ("how many liters of 10%..."). The second container has 30 liters (and 50% of that is acid). The third container has x + 30 liters (because you dumped the first two containers into the third container), and 20% of that is acid.
Write an equation that shows how the acid adds up:
10% of x plus 50% of 30 equals 20% of (x + 30).
You should add 90 liters of the 10% solution.
Write an equation that shows how the acid adds up:
10% of x plus 50% of 30 equals 20% of (x + 30).
You should add 90 liters of the 10% solution.
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Step-by-step explanation:
In the attached images we can see the rigid transformation of the function
1. The basic graph
2. The reflected graph
3. The displaced graph
Reflection: In the expression , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x)
, then the reflection on the x axis is equal to the reflection on the y axis.
Displacement: We observe the term (x-4) of the function and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted
.
