Austin wants to make twelve gallons of 46% acid solution by mixing together 65% acid solution and a

Mathematics

1 answer:

jarptica [38.1K]2 years ago

4 0

Answer:

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

Step-by-step explanation:

Let

x ----> the gallons of 65% acid solution needed

y ----> the gallons of 5% acid solution needed

Remember that

$46\%=46/100=0.46$

$65\%=65/100=0.65$

$5\%=5/100=0.05$

we know that

$x+y=12$ -----> equation A

$0.65x+0.05y=0.46(12)$ -----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is (8.2,3.8)

therefore

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

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If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?

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ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
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Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

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For instance, when
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This implies that,

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Option C is also false because, x can be positive since it is the independent variable.

See graph

Therefore, the correct answer is option D.