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nlexa [21]
3 years ago
6

20. Acid Mixture Bill Charlson needs 10% hydrochloric acid

Mathematics
2 answers:
k0ka [10]3 years ago
8 0

Answer:

120 ml

Step-by-step explanation:

Let x ml of 5% acid should mix with 60 milliliters of 20% acid to obtain a 10% solution,

Thus, the quantity of resultant mixture = ( x + 60 ) ml,

Also,

Acid in x ml 5% acid + Acid in x ml 5% acid = acid in 10% resultant solution,

5% of x + 20% of 60 = 10% of ( x + 60)

\frac{5x}{100}+\frac{20\times 60}{100}=\frac{10\times (x+60)}{100}

5x + 1200 = 10x + 600

5x - 10x = 600 - 1200

-5x = -600

\implies x = \frac{-600}{-5}=120

Hence, 120 ml of 5% acid should be mixed.

nevsk [136]3 years ago
5 0
5% more to the mixture
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Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in y=mx+b form. In this for the following are:

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Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Upon inserting our points into the equation, we get a slope of -1.

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Creating The Equation

To create the equation in y=mx+b form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

y=-1x-2

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

5 0
3 years ago
3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

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<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
1 year ago
If it takes eight men ten hours to build a wall, how long would it take four men?
fomenos
If it takes eight men ten hours, it would take seven men nine hours, six men eight hours, five men seven hours and that brings us to the answer you need. It would take four men six hours.
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Step-by-step explanation:

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Step-by-step explanation:

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