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tino4ka555 [31]
3 years ago
15

How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution) 
in simple terms:    %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x)            simplify/ distribute
0.6x + 12 = 25 +0.5x                  get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13    divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
tester [92]3 years ago
4 0

Answer:

A. 130 gallons is the simple answer

Step-by-step explanation:

hope i helped

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Simplify. x + y - 0 x 2 - y 2
dusya [7]

Answer:

-y^(2)+x+y

Step-by-step explanation:

3 0
3 years ago
A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g
cricket20 [7]

Answer:

a) r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

b) m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=9 \sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141  

r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=51-\frac{18^2}{9}=15  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90  

And the slope would be:  

m=\frac{90}{15}=6  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0
3 years ago
Unless otherwise posted, what is the speed limit in a residential area?
raketka [301]

Residential speed limit is 40 mph unless otherwise posted. Residential speed limit is 30 mph unless otherwise posted.

hope this helped

mark brainliest    :)

6 0
3 years ago
Find the 28th term of the arithmetic sequence -1, -3, -5, …
Dovator [93]

Answer:

-55

Step-by-step explanation:

2nd term=> -1 + -2 × (2 - 1)

3rd term=> -1 + -2 × (3 - 1)

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28th term=> -1 + -2 × (28 - 1)

                => -1 - 54 = -55

4 0
3 years ago
Suppose a river flows south to north at a velocity of 1 m/s, and a motorboat traverses the river from east to west at a speed of
irina1246 [14]

Answer: 24^{\circ}

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of u=1\ m/s

Motor boat traverses the river from east to west at a speed of v=2.5\ m/s

South component of boat velocity must compensate the river velocity in order to travel in west direction.

\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}

5 0
3 years ago
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