A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?

Answers

Answer 1

Answer:

The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Step-by-step explanation:

Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:

70 x 1 + 25 x 0 = 70

70 x 0.9 + 25 x 0.1 = 65.5

70 x 0.8 + 25 x 0.2 = 61

70 x 0.7 + 25 x 0.3 = 56.5

Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.

70 x 0.75 + 25 x 0.25 = 58.75

70 x 0.76 + 25 x 0.24 = 59.2

70 x 0.77 + 25 x 0.23 = 59.65

70 x 0.78 + 25 x 0.22 = 60.1

Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.

70 x 0.778 + 25 x 0.222 = 60.01

Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.


Related Questions

Surface area of 9cm, 10cm, and 15cm

Answers

Answer: The answer is 750 cm

Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1

Answers

Answer:

I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.

16/5 is a rational number, and -1 is an integer.

All numbers belong to the subset of real numbers.

Step-by-step explanation:

Hope this helped!

CAN SOMEONE PLEASE HELP ME??

Answers

The answer would be the third one, all you are doing is substituting a value of 1 when you see an x in the function

find slope and y intercept 3x + 2y = -9

Answers

slope= -3/2
y-intercept= 0, -9/2

Answer:

Slope: -3/2          Y-intercept: (0, -9/2)

Step-by-step explanation:

~ Hope this helps ~

find the three consecutive even numbers which add up to 1524

Answers

Answer:  pretty sure 506,  508, 510

Step-by-step explanation:

Answer:

507,508,509

Step-by-step explanation:

3x+3=1524. 3x+3-3=1524

3x=1521. 3x/3=1521/3

x=507 which means the other numbers are 508 and 509

The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.)

Answers

Answer:

[tex]5\ units[/tex]

Step-by-step explanation:

[tex]From\ the\ graph,\\Coordinates\ of\ Point\ P=x_1,y_1=-10,15\\Coordinates\ of\ Point\ T=x_2,y_2=15,15\\Hence,\\As\ we\ know\ that,\\Linear\ Distance(d)\ between\ any\ two\ points\ on\ the\ cartesian\ plane\\ is\ given\ by:\\d=\sqrt{(x_2-x_1)+(y_2-y_1)} \\Hence, here\\Distance\ between\ Points\ P\ and\ T=\sqrt{(15-(-10))+(15-15)\\[/tex]

[tex]Distance\ between\ Points\ P\ and\ T=\sqrt{(15+10)}\\Distance\ between\ Points\ P\ and\ T=\sqrt{25}\\ Hence,\\Distance\ between\ Points\ P\ and\ T=5\ units[/tex]

Any help please I gladly appreciate it!!!

Answers

The answer is 75
Bc 45+30=75

Please explain how to do it so I can learn it

Answers

It is D because it means supplementary angles which equal up to 180

jill bought 14 feet of fabric. the fabric cost $3.25 a foot, including tax. what is the total cost of the fabric?

Answers

Answer:

$45.5

Step-by-step explanation:

3.25 times 14 is 45.5

Answer:

$47.74

Step-by-step explanation:

Sales tax rate: 5%;

Price without tax: $3.25 dollars;

Amount of sales tax ≈ $0.16 dollars;

Price with sales tax ≈ $3.41 dollars;

Detailed calculations below:Amount of sales tax =

Sales tax rate × Price without sales tax =

5% × 3.25 =

5/100 × 3.25 =

0.05 × 3.25 =

0.1625 ≈

0.16;

Price with sales tax =

Price without sales tax + Amount of sales tax =

3.25 + 0.1625 =

3.4125 ≈

3.41;

means that we need to do 3.41 times 14 there your answer

Find the slope, if it exists, of the line containing the pair of points.
(8,-6) and (3,9)

Answers

Answer:

The slope is -3

Step-by-step explanation:

the equation for finding the slope between two different points is:

M= (y2-y1)/(x2-x1)

Or in other words the change in y over the change in x.

M= (9+6)/(3-8) = 15/-5 = -3.

(sidenote: I added 9 and 6 for the change in y because you cannot subtract a negative number. Instead you have to add it.)

A snail travels 10 cm in 4 minutes. At this rate, how far will the snail get in 10 minutes?

Answers

Answer:

25CM

Step-by-step explanation:

Answer:

25 cm

Step-by-step explanation:

10*2.5 is the method I used.

What is the slope of the line that passes through the points (2, -3)and (2,13)?
Write your answer in simplest form.

Answers

Slope = change in y / change in x

Both x values are the same, they are both 2’s. 2-2 = 0

Because the change in x is 0 the slope is undefined.

An undefined slope means the line is a vertical line ( straight up and down with no angle)

Answer:

Slope = change in y / change in x

Both x values are the same, they are both 2’s. 2-2 = 0

Because the change in x is 0 the slope is undefined.

An undefined slope means the line is a vertical line straight up and down with no angle

Step-by-step explanation:

hope this helps =)

Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).

Answers

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

Thirteen less than four times a number is 17

Answers

Answer: 9x

Step-by-step explanation:

Answer:

4x - 13 = 17

Step-by-step explanation:

Please help me! I don't understand this question!

Answers

Answer:

x^2-10

Step-by-step explanation:

the area of whole square is x^2, not shaded area is 5*2=10, so shaded area equals to x^2-10

Need help will give brainleist

Answers

Answer:

41º

Step-by-step explanation:

Because of parallel lines, (2x-5)º=180º-113º, so (2x-5)º=67º.

(2x-5)º=67º2x-5=67º2xº=72ºx=36º

The angle that says (2x)º will be (2[36])º=72º.

So the other angle will be 180-67-72=41º as the sum of a triangle's interior angles is 180º.

Answer:

41°

Step-by-step explanation:

The angle below (2x-5) is also 113° (which i hope you know why)

Then to find (2x-5)° you would subtract 180 - 113 to get the angle because both those angles would add up to 180° because it is a straight angle which gives you 67°

Then you need to find x by solving the equation 2x - 5 = 67 which would give you x = 36, so you would multiply that by 2 for the angle on the side which would be 72°

Then bc the angles on the inside of the triangle all add up to 180° as well, you would add 72 + 67 = 139, then do 180 - 139 giving you d° as 41°

Please answer a and b, I will give brainliest!!!!!

Answers

Answer:

b

Step-by-step explanation:

because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)

Which one A,B,C,D This times so I need a answer in a hurry

Answers

Answer:

um c? i think so, i dont rly know

Step-by-step explanation:

What is the perimeter of this polygon?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400

a
24 units
b
22 units
c
28 units
d
26 units

Answers

Answer:

I am pretty sure it is

B. 22 units

Step-by-step explanation:

Answer:

24 units.

Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.

Let me know of any other questions! :)

how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one​

Answers

Answer:

b) infinitely many

hope it helps

If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained

Answers

Answer:

The percentage [regression line is unexplained]  = 60.6%

Step-by-step explanation:

Given:

Coefficient of determination = 0.394

Find:

The percentage [regression line is unexplained]

Computation:

Coefficient of determination = 0.394

Coefficient of determination = 39.4%

The percentage [regression line is unexplained]  = 100% - Coefficient of determination

The percentage [regression line is unexplained]  = 100% - 39.4%

The percentage [regression line is unexplained]  = 60.6%

Stephanie put $300 into an account with 3% annual simple interest.
How long will it take for Stephanie to earn $90 in interest?

Answers

Answer:

Step-by-step explanation:

10 years


Melanie worked last weekend at her part-time jobs. She
earned $67.60. Place an X in the appropriate cell for
each row to indicate whether each situation represents
the additive inverse of how much Melanie earned last
weekend.
Additive Inverse
Not Additive
Inverse
finding $67.00
lo sin g $67.60
spending 567.60
recieving a gift of 67.00

Answers

Answer:

Step-by-step explanation:

HadsRIC

What is the answer please help

Answers

Answer:

is the number 4

so 13/16 3/16

Step-by-step explanation:

Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.

A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE

Answers

She will have exactly 1300 because 150x6 is 900 and 400+900 is exactly 1300

A video streaming company charges a yearly membership fee of $119. Some movies and episodes not included in the annual subscription cost $2.99 each to download. Write the equation to find the amount it will cost to download m movies in one year?

Answers

answer

the equation is $119 ÷ $2.99

hellllllllllllllllllllllllllp me plzzzzz

Answers

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

Thomas needed a loan to buy a car. He borrowed $24,000 from the bank at a rate of 8.25% simple interest for 36 months. What was the total amount that Thomas had to pay back?

Answers

Answer:

5,940.00

Step-by-step explanation:

Well its was really simple your welcome

w=2xyz solve for y!!!!!!!!

Answers

Answer:

y=w/2xz

Step-by-step explanation:

Bill and Ted are each saving money for a trip to Europe. Bill started with $75 and saves an additional $15 per week. Ted began with $120 and saves an additional $10 per week. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.​

Answers

Answer:

9 weeks

Step-by-step explanation:

After x weeks Bill will save money:

75 + 15x

And Ted will save:

120 + 10x

Since they save same amount, we have equation:

75 + 15x = 120 + 10x15x - 10x = 120 - 755x = 45x = 45/5x = 9 weeks
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