A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?

Answers

Answer 1

9514 1404 393

Answer:

4.3 L of 40% solution5.7 L of 5% solution

Step-by-step explanation:

Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...

  0.40x +0.05(10-x) = 0.20(10)

  0.35x +0.5 = 2.0

  0.35x = 1.5

  x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution

  10-x = 10 -4.3 = 5.7 . . .liters of 5% solution


Related Questions

A boat can travel 140 kilometers on 35
liters of gasoline. How much gasoline will
it need to go 432 kilometers?

Answers

Answer: 108 liters of gasoline is needed.

Hope this helps! :)

Given parameters:

Distance  = 140km

 Volume of gasoline  = 35liters

Unknown:

Volume of gasoline needed for 432km  = ?

Solution:

Let us first find the rate of gasoline consumption per mile. Using this value, we can then determine the volume of gasoline used for the distance given.

  Rate of gasoline consumption by the boat = [tex]\frac{volume of gasoline}{distance}[/tex]

                                                    = [tex]\frac{35}{140}[/tex]  

                                                    = 0.25liters/km

Now, the volume of gasoline needed for 432km;

   Volume of gasoline needed  = rate of gasoline consumption x distance

                                                    = 0.25 x 432

                                                    = 108liters of gasoline            

4 in.
8 in.
7 in.


Pls help

Answers

Answer:

I assume you're asking for the volume, which is 224

Step-by-step explanation:

4x7x8=224

would a boxplot of the data 113, 116, 116, 116, 118, 118, 119, 119, 122, 124, 124, 124 allow you to find the mean and the median?

Answers

The answer is yes it would

Evaluate the function for the given value.
h(a) = 3a + 3
Find h(7).

Answers

3(7)+3
21+3
Answer
h(7)=24

Answer:

h(7) = 24

Step-by-step explanation:

Hi there !

h(a) = 3a + 3

replace a = 7

h(7) = 3×7 + 3

= 21 + 3

= 24

Good luck !

Combine these radicals..​ please help you'll get brainiest.

Answers

Answer:

-54

Step-by-step explanation:

√100= 10√36= 6-6 (10) + 6

       -6 times 10 is -60

       -60 + 6 is -54

Find the price of an item that costs $257.50 and has a tax of 5.5%

Answers

Answer:

$271.66

Step-by-step explanation:

How do you translate words into equations?

Answers

Answer:

easy

Step-by-step explanation:

If it is 125 the word form is one hundred twenty-five

Subtract – 3x – 8 from 4x2 – 7x – 2.

Answers

Answer:  -2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

 ((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

 

Answer:

-2

Step-by-step explanation:

Sorry if i'm wrong

what is 8/10 as a decimal

Answers

Answer:

the answer will be idkdhhegegegegege 0.8

Which point represents the x-intercept of this exponential function?

Answers

Answer:

3

Step-by-step explanation:

because that is where the line (or curve) cuts the x axis

Answer:

Point (3, 0)

(? x 3) - 3 = 15

help pls and i need the steps :/​

Answers

Answer:

4

Step-by-step explanation:

Lets make [tex]x[/tex] be the ? in the equation.

That becomes ([tex]x[/tex] x 3) - 3 = 15.

First you have to add 3 on both sides. After doing that it gets to ([tex]x[/tex] x 3) = 15 - 3.

Then you simplify it to 3[tex]x[/tex] = 12.

Now you divide 3 on both sides. That gets to [tex]x[/tex] = 4 after doing it.

Hope this helped! If not, please let me know! <3

The sum of 9 times a number and 8 is 7. Use the variable c for the unknown number

Answers

Answer:

9c + 8 = 7

Step-by-step explanation:

I NEED A ANSWER ASAPP!!!!!



A linear regression has a correlation coefficient of r=0.82


. Would this be a good correlation coefficient? What is the best value you could have for a correlation coefficient? Explain your reasoning completely.

Answers

Answer:

not very good

Step-by-step explanation:

the correlation should be almost 1  to be a good representation of the data. 0.82 isn't very close.  This would be a pretty "rough" approximation at best.  Maybe that's all that's needed but usually something close to 1.. like 0.99 is needed.

I need help with this

Answers

Answer:

It'll take 11 years till they're the same

Can someone double check this?

Answers

Answer:

you good my guy

Step-by-step explanation:

The double number line below shows the approximate number of pounds in a certain number of kilograms: Based on the nunber line, about how many pounds are there In 4.5 kilograms?

1. 8

2. 9

3. 10

4. 11

Answers

The answer would be number 3 or 10

simplify 5^-4/5^3 (please heeeelp)

Answers

Answer:  1/5^7 or  1/78125 <= another way

Step-by-step explanation:

5^−4/5^3

=5^−4/5^3

=5^−4−3

=5^−7

=1/5^7

=1/78125

d. Does 4 + 25 is equal to 4 + 25? Explain

Answers

[tex]4+25=2+25[/tex]

They are equal because their sums both equal [tex]29[/tex].

Answer:

4 + 25 is equal to 4 + 25

Step-by-step explanation:

they are equal because both of the equations are the same so that would mean both of the equations would be equal to each other

hope this helps

How many kilograms did the elephant
weigh at birth?

Answers

Answer:

The option not listed

Step-by-step explanation:

The other options don't make sense when comparing it to the graph.

Find the LCM of x2 + x,x2-1,x2-x

Answers

Answer:

[tex]first \: \\ x {}^{2} + x \\ = x(x + 1) \\ \\ second \\ {x}^{2} - 1 \\ = (x) {}^{2} - (1) { }^{2} \\ = (x + 1)(x - 1) \\ \\ third \\ x {}^{2} - x \\ = x(x - 1) \\ \\ therefore \: \: lcm = x(x + 1)(x - 1)[/tex]

It helps you a lot ☺️

Thank you ☺️☺️

the average rain fall in cuba in the summer is 5.3 inches per month. if cuba gets 6.3 inches in june and 7.1 in july how much rain do they need in august to exceed their average

Answers

Answer:

They need more than 2.5 inches.

Step-by-step explanation:

average = 5.3

June: 6.3

July: 7.1

August: x

The average of the amounts for June, July, and August is

(6.3 + 7.1 + x)/3

To exceed the average, the average must be greater than 5.3.

(6.3 + 7.1 + x)/3 > 5.3

Multiply both sides by 3.

6.3 + 7.1 + x > 15.9

x + 13.4 > 15.9

Subtract 13.4 from both sides.

x > 2.5

Answer: They need more than 2.5 inches.

Marni buys 2.5 pounds of grapefruit for $4.48. To the nearest cent, how much would 6 pounds of grapefruit cost?

Answers

Answer:

4.48 x (6/2.5) = $10.75

Which of these numbers rounds to 7.62

7.546
7.639
7.670
7.720


HELP mE

Answers

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

30 points plz help, I really need it

Answers

[tex]-7\sqrt{3}\pi[/tex]

Add similar elements

:)Hope you enjoy this:)

Answer:

A. [tex]-7\sqrt{3}\pi[/tex]

Step-by-step explanation:

To find the simplified form of that expression, we have to combine like terms. To do this, we should remember that:

ab + cb = (a + c)b

[tex]\pi\sqrt{3}-8\pi\sqrt{3}=(\pi-8\pi)\sqrt{3}=((1-8)\pi)\sqrt{3}=-7\pi\sqrt{3}=-7\sqrt{3}\pi[/tex]

So the simplified form would be [tex]-7\sqrt{3}\pi[/tex].

I hope you find my answer and explanation to be helpful. Happy studying.

4. x+ 4 + 7 = 3
How do I solve the absolute value ?

Answers

Answer:

-2

Step-by-step explanation:

4x +4 +7 =3

or, 4x = 3 - 11

or, x = (-8) / 4

since,

X = -2

x+ 4 + 7 = 3
x+11=3
x=3-11
x=-8

Jennifer bought 4.25 pounds if chocolate covered pecans. If each pound of chocolate covered pecans cost $2.40 how much did Jennifer pay for the chocolate covered pecans?

Answers

Answer:10.2$

Step-by-step explanation:4.25 times 2.40=10.2

Answer:

4.25 * 2.40 = 10.2 pretty simple

Step-by-step explanation:

Please Answer Quickly!
A car has an initial value of $20,000. The value then "depreciates" or decreases by 10% of its initial value each year. Which equation below gives the value of the car, v, after y years?
v = -2,000 y + 20,000
v = 0.10 y - 2,000
v = 2,000 y - 20,000
v = - 0.10 y + 2,000

Answers

I think it’s the 4th or 2nd option not sure i might be wrong

Answer:

its the second one

i had the question and the last one is wrong soo.....

If you found this helpful I would appreciate it if you thanked or liked.

HELP PLS WORTH 50POINTS
If you have an even integer on a number line which we will call "x", what could you call the next consecutive number? What could you call the next consecutive even integer on the number line?

Answers

Answer:I NEED THE ANSWER TO

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

A polygon has vertices whose coordinates are A(1.4), B(4, -1), C(-1,-4), and D(-4,1). Use the midpoint formula to determine whether or not the diagonals of polygon ABCD bisect each other. In your final answer, include all of your calculations.​

Answers

C.
Is the answer thank you

A generator turns __?____ energy into ___?____ energy


A.Coiled wire
B.Negative wire
C.Positive wire
D.Handle that can spin
E.Light bulb


Chose two answers to place on the sentence



Help asap

Answers

The answer to that question is C
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