There is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200 milliliters of a 4.5% acid solution for an experiment. How many milliliters of each solution should he combine?

Answers

Answer 1

et x = the volume of the 3.5% solution
Let y = the volume 6% solution

(3.5%)x + (6%)y = (4.5%)(200)
0.035)x + 0.06y = 0.045(200)
0.035x + 0.06y = 9 ( Equation 1 )

x + y = 200 ( Equation 2 )
x = 200 - y

Substitute x = 200 - y into equation 1:
0.035x + 0.06y = 9
0.035(200 - y) + 0.06y = 9
7 - 0.035y + 0.06y = 9
0.06y - 0.035y = 9 - 7
0.025y = 2
y = 2/(0.025)
y = 80 mL (the volume of 6% solution.)

Substitute y = 80 into equation 2:
x + y = 200
x + 80 = 200
x = 200 - 80
x = 120 mL (the volume of the 3.5% solution.)

Therefore, Mr. Larson should combine 120 mL of the 3.5% solution
and 80 mL of the 6% solution to make 200 mL of 4.5% solution.

Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution

Hope I helped :)

Answer 2

Final answer:

To obtain 200 mL of a 4.5% acid solution, Mr. Larson needs 120 mL of the 3.5% acid solution and 80 mL of the 6% acid solution.

Explanation:

To find the volumes of each of the two solutions needed, we can set up a system of equations based on the principle of concentration:

Let x be the volume of the 3.5% acid solution needed, and y be the volume of the 6% acid solution needed.

The equation for the total volume is x + y = 200 mL.

The equation for the concentration is (0.035x + 0.06y) / 200 = 0.045.

Solving the system of equations, we can find the values of x and y.

x = 200 - y

(0.035(200 - y) + 0.06y) / 200 = 0.045

Simplifying the equation, we get:

7 - 0.035y + 0.06y = 9

0.025y = 2

y = 80 mL

Substituting the value of y into the equation x = 200 - y, we get:

x = 200 - 80

x = 120 mL

Therefore, Mr. Larson needs 120 mL of the 3.5% acid solution and 80 mL of the 6% acid solution to obtain 200 mL of a 4.5% acid solution.

Related Questions

The equation of a line is X+3Y=14
what is the y-intercept of the line?

Answers

X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3

Answer: The required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]

Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :

[tex]x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The slope-intercept form of the equation of a line is given by

[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.

From equation (i), we have

[tex]x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.[/tex]

Comparing the above equation with the slope-intercept form, we get

[tex]\textup{y-intercept, c}=\dfrac{14}{3}.[/tex]

Thus, the required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]

In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece. What is the minimum number of moves required to complete a two-thousand piece jigsaw puzzle that is separated into individual pieces?

Answers

Solution: As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need \[2000-1=\boxed{1999}\] moves to complete the puzzle.

Answer:

1999 moves are required.

Step-by-step explanation:

Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.

This means exactly [tex]n-1[/tex] moves are required to solve a jigsaw puzzle with n pieces.

Here, n = 2000

So, moves will be = [tex]2000-1=1999[/tex]

Hence. 1999 moves are needed to solve the puzzle.

What is 24.678 rounded to two decimal places

Answers

It would be 20.000 because you would round down

Salutations!

What is 24.678 rounded to two decimal places?

Rounding off to two decimal place means that you are rounding to the nearest hundredths. For this, you need to check whether the number next to the thousandth place is greater than 5, or lesser than 5, If its greater than 5, you need to round up. If its lesser than 5, you need to round down.

8 is sitting in the thousandth place, therefore, we will be adding+1 to the hundredth place.

24.678 rounded to two decimal place ≈ [tex]24.68[/tex]

Hope I helped (:

Have a great day!

Karen currently has an account balance of $7,062.25. She opened the account 17 years ago with a deposit of $2,640.95. If the interest compounds monthly, what is the interest rate on the account?

Answers

The interest rate is 0.4833333%

A model of a famous statue is 1 1/2 inches tall. The actual statues is 3 3/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest form?

Answers

Final answer:

The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.

Explanation:

To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:

3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.

Now we can set up the ratio of the model to the actual statue:

1 1/2 inches / 45 inches.

First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:

(3/2) inches / 45 inches = 3/90 = 1/30.

The ratio in simplest form is 1:30.

0.5 is 10 times as great as

Answers

The answer is: " 0.05 " .
____________________________
Explanation:
____________________________
Take "0.5" and divide by "10" :

0.5 /10 = 0.05 .
____________________________

.5
because when you do .05 x 10 you get .50

3 and 5/6 minus 2 and 3/4

Answers

The answer is 1.0833

The answer is 1 1/12

r - 6183 = 6766 Please put answer down below.

Answers

R=12,949 i hope this helps and if u need an explanation of how i got it et me know :)

12,949 is the answer to the question

What is the measure of angle B in the triangle?

This triangle is not drawn to scale.

Enter your answer in the box.

m∠B=
°

A triangle labeled ABC with the angles A forty degrees, angle B parenthesis two x minus thirty parenthesis degree, angle C parenthesis x plus twenty parenthesis degrees

Answers

the interior angles of a triangle add up to 180 degrees

40 + 2x - 30 + x + 20 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x = 150/3
x = 50

< A = 40
< B = 2x - 30.....2(50) - 30 = 70 <===
< C = x + 20......50 + 20 = 70

Answer:that answer to the test is 70

Step-by-step explanation:

The cost to manufacture x number of chairs can be represented by the function C(x) = 36x. In this context, what does C(x) = 2268 mean?

Answers

C(x) = 2268 means that at $36 per chair, when purchasing 63 chairs it will cost $2,268

An election ballot asks voters to select two city commissioners from a group of four candidates. In how many ways can this be done?

Answers

Let n = 12
Let r = 6
Replace every n! with 12 and every r! with 6 and then do the math.
nCr = 12!/[(12 - 6)!*6!]
nCr = 479001600/(720)(720)
nCr = 479001600/518400
nCr = 924
There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates

All matter is made of atoms that cannot be divided or destroyed.

True
False

Answers

The statement is TRUE because atoms are the smallest unit of matter.

Hope it helps you:)

Solve sx+tx=r for x.

Answers

sx+tx=r
x(s+t)=r
x=r/(s+t)

Factor x out of sx +tx
x (s+t) = r
Divide each term by s+t and simplify.

x = r / (s+t)

Tyler orders a meal that cost $15 if the tax rate is 6.6% how much will the sales tax be on Tyler's Meal?

Answers

Answer:

There would be $ 0.99 sales tax on the meal.

Step-by-step explanation:

Given,

The cost of the meal ordered by him = $15,

sales tax rate percentage = 6.6%,

Thus, the amount of the sales tax = 6.6% of the cost of the meal

= 6.6% of 15

[tex]=\frac{6.6\times 15}{100}[/tex]

[tex]= \frac{99}{100}[/tex]

[tex]= \$ 0.99[/tex]

The sales tax will be $0.99 on Tyler's meal.

One 747-airplane can carry 420 passengers. How many total passengers can three planes carry?

Answers

420•3= 1,260 passengers

How many different 12-member juries can be chosen from a pool of 45 people

Answers

Here is a walk through, using the Combination formula.

what would (-2/3) squared be?

Answers

(-2/3)(-2/3)

Multiply the numerators: -2*-2=4
Multiply the denominators: 3*3=9

Final answer: 4/9

math question down below more than one answer

Answers

the third one.

32-9=23
the answr is 23

Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm-up routines how much time did he spend practicing warm-up routines

Answers

I'll be 150 by multiplying the number and find the answer

Michael bought 0.44 pounds of sliced turkey. What is the value of the digit in the hundreths place

Answers

0.44....the digit in the hundredths place is 4....and since it is in the hundredths place, its value is 4/100 (four-hundredths)

Help Me on number 12. A - C
Plz

Answers

3(1) = 3
3(2) = 6
3(3) = 9
3(4) = 12
3(5) = 15
3(6) = 18
3(7) = 21
3(8) = 24
3(9) = 27
3(10) = 30

The set of number is in order, and gives you the product of the first ten numbers when multiplied with 3.
yes, for 12,21,30,216 > 10, you will reach them eventually

hope this helps

please enlighten me on what 3n 7n and 6n is there for, and maybe i can help for those too

Which of the following is a rational number? (4 points)

A. square root of 1

B. square root of 2

C. square root of 3

D. square root of 4

Answers

D is the answer because you can write it as a fraction

D bc a rational number is any number that can be expressed as the quotient or fraction

Carl Drove the following distance for the XYZ delivery company from January through July 914, 740, 815, 550, 815, 1250, 740 what was the means distance miles

Answers

832 miles is the overall mean

add all the numbers together and then divide by how many numbers there are

914+740+815+550+815+1250+740 = 5824
5824/7 = 832

hope this helped

Simplify 6 to the power of negative 3 over 6 to the power of 5.

A. 6 to the power of 8
B. 6 to the power of negative 2
C. 1 over 6 to the power of 8

Answers

1/1679616

decimal form 5.5374180

One-sixth of a number is four

Answers

4 divided by 1/6

4*6

24

Hope this helps!

How many times can 2 1/2 be subtracted from 12 1/2

Answers

2 1/2 = 2.5
12 1/2 = 12.5

This means you can calculate how may times it goes in by dividing it and rounding the number down:

12.5 / 2.5 = 5

*5 can not be rounded down so it stays the same

This means that 2 1/2 goes into 12 1/2 5 times. Hope this helps! :)

12.5 divides by 2.5 will give you 5

In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.

Answers

Final answer:

In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.

Explanation:

When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.

Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.

Learn more about decimal system here:

https://brainly.com/question/28222265

#SPJ2

Round 4,589 to the thousands

Answers

That would be 5,000.

5,000 is the answer to your question

840,007 rounded to nearest thousand

Answers

840,000 was the answer

800,000 dose this help you better

In basketball some baskets worth two points others worth three points.in one game the ratio of three point baskets to three point tries for one team was 5:8 if team scored 60 points from three point baskets,how many three point tries did the team have?

Answers

5 actual baskets made and 8 3-point tries. The ratio is 5:8.
You can make a proportion as follows,
5/8=60/x
5 and 60 are equivalent since both are 3-point tries.
What times 5 will equal 60? 12.
So if you multiply 5*12 you will get 60. And if you multiply 8*12 you will get 96.
X=96.
The team tried 96 three-point baskets.

The team tried 96 three point baskets.

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