Two solutions of salt water contain 0.06% and 0.21% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
Answers
Answer:
The first solution must have 0.6 l and the second one 0.4 l.
Step-by-step explanation:
The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:
0.0006*x + 0.0021*y = 0.0012
And the sum of volumes must be equal to 1 liter.
x + y = 1
We have the equation system:
x + y = 1 (1)
0.0006*x + 0.0021*y = 0.0012 (2)
Isolating the "x" variable in the first equation and applying it in the second we have:
x = 1 - y
0.0006*(1-y) + 0.0021*y = 0.0012
0.0006 - 0.0006*y + 0.0021*y = 0.0012
0.0015*y = 0.0006
y = 0.0006/0.0015 = 0.4
x = 1 - 0.4 = 0.6
The first solution must have 0.6 l and the second one 0.4 l.
Related Questions
5. the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour. how many people do you expect to arrive during a 45-min period?
Answers
If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.
The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.
To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.
Next, we can use the Poisson distribution formula, which is:
P(X = k) = (e^(-λ) * λ^k) / k!
where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).
Expected number of arrivals = λ * t = 5 * 0.75 = 3.75
Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.
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what -7 x4=36? amogus amogus amogus amogus
Answers
Based on the given problem of -7x⁴ = 36, the solution to the equation is x = -1.5.
What is the solution to this problem?The equation to find x is given as:
-7x⁴ = 36
Solving it gives:
-7x⁴ = 36
x⁴ = 36/-7
x⁴ = -36/7
x = ⁴√(-36/7)
x = -1.5
In conclusion, x is -1.5.
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Answer: -7 x 4= -36
Step-by-step explanation:
At noon, the temperature at a mountaintop research center is 11
degrees. Overnight the temperature drops to -19 degrees.
Which expression represents how much the temperature
changed?
A. |19|
B. |-19|
C. |-30|
D. |-38|
Answers
1. For each of the following sets, tell whether it is a group or is not a group. If it is a group, provide an explanation. If it is not a group, show which group axiom(s) it does not satisfy. (a) The nonnegative integers under addition (b) The positive rational numbers under multiplication
2. List the elements in (Z*₁₁)² = {x² mod 11 : x ∈ Z*₁₁} and (Z*₁₃) = {x² mod 13 : x ∈ Z*₁₃}
Answers
1. (a) The nonnegative integers under addition form a group.
This is because they satisfy the four group axioms:
- Closure: Adding two nonnegative integers always results in a nonnegative integer.
- Associativity: Addition of integers is associative, meaning that for any three nonnegative integers a, b, and c, (a + b) + c = a + (b + c).
- Identity element: The number 0 is the identity element, as adding it to any nonnegative integer leaves the integer unchanged.
- Inverse element: For every nonnegative integer a, the additive inverse -a exists in the set of nonnegative integers. Adding a and -a results in the identity element 0.
(b) The positive rational numbers under multiplication do not form a group. This is because they do not satisfy the inverse element axiom. Specifically, not every positive rational number has a multiplicative inverse that is also a positive rational number. For example, the number 2 does not have a multiplicative inverse in the set of positive rational numbers.
2. (Z*₁₁)² = {0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1}
(Z*₁₃) = {0, 1, 4, 9, 3, 12, 10, 10, 12, 3, 9, 4, 1}
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What are the leading coefficient and degree of the polynomial? -15u^(4)+20u^(5)-8u^(2)-5u
Answers
The leading coefficient of the polynomial is 20 and the degree of the polynomial is 5.
A polynomial is an expression that contains a sum or difference of powers in one or more variables. In the given polynomial, the degree of the polynomial is the highest power of the variable 'u' in the polynomial. The degree of the polynomial is found by arranging the polynomial in descending order of powers of 'u'.
Thus, rearranging the given polynomial in descending order of powers of 'u' yields:20u^(5)-15u^(4)-8u^(2)-5u.The highest power of u is 5. Hence the degree of the polynomial is 5.The leading coefficient is the coefficient of the term with the highest power of the variable 'u' in the polynomial. In the given polynomial, the term with the highest power of 'u' is 20u^(5), and its coefficient is 20. Therefore, the leading coefficient of the polynomial is 20.
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Let X = {x|x is a whole number less than 10} and Y= {-3, -2, 1, 3, 5, 7, 20). Find XU Y.
Answers
The number of elements of set (XUY) = 8
What is set?A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.
Let X = {x|x is a whole number less than 10} and Y= {-3, -2, 1, 3, 5, 7, 20). .
Means write all the elements in X and Y, then
X = {x|x is a whole number less than 10}
Means write the common elements in X and Y
Y= {-3, -2, 1, 3, 5, 7, 20).
Since there are no common elements in X and Y, then
(XUY) is null set.
The number of elements in (XUY) is 4 + 4 = 8 elements
Then (XUY) = 8
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Wade just retired, and has $600,000 to invest. A very safe Certificate of Deposit (CD) account pays 2%, while ariskier bond fund pays 8.5% in interest. Wade figures he needs $27,000 a year in interest to live on. How muchshould he invest in each account to make enough interest while minimizing his risk?$at 2%at 8.5%Round answers to the nearest dollar.
Answers
We can write 2 equations from the information given.
Let the amount invested in CD be "x" and the amount invested in bond be "y".
The total amount invested is $600,000. Thus, we can write,
\(x+y=600,000\)The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,
\(0.02x+0.085y=27,000\)Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:
\(\begin{gathered} x+y=600,000 \\ or,x=600,000-y \\ -------------- \\ 0.02x+0.085y=27,000 \\ 0.02(600,000-y)+0.085y=27,000 \\ 12000-0.02y+0.085y=27,000 \\ 0.065y=27,000-12,000 \\ 0.065y=15,000 \\ y=230,769.23 \end{gathered}\)Now, we can find "x",
\(\begin{gathered} x+y=600,000 \\ x+230,769.23=600,000 \\ x=600,000-230,769.23 \\ x=369,230.77 \end{gathered}\)Rounded to the nearest dollar, we write our answer >>>
$369,231 at 2%$230,769 at 8.5%4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3
Answers
Answer:
D. n=3
Step-by-step explanation:
8-2n-6n= –16
Take 8 to the other side
-2n-6n= -16-8
Solve them
-8n = -24
Take -8 to the other side
\(n \: = \frac{ - 24}{ - 8} \)
n = 3
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathbf{8 - 2n - 6n = -16}\)
\(\huge\textbf{Solving for the answer:}\)
\(\mathbf{8 - 2n - 6n = -16}\)
\(\huge\textbf{Combine the like terms:}\)
\(\mathbf{(-2n - 6n) + 8 = -16}\)
\(\mathbf{-2n - 6n + 8 = -16}\)
\(\mathbf{-8n + 8 = -16}\)
\(\huge\textbf{Subtract \boxed{\bf 8} to both sides:}\)
\(\mathbf{-8n + 8 - 8 = -16 - 8}\)
\(\huge\textbf{Simplify it:}\)
\(\mathbf{-8n = -16 - 8}\)
\(\mathbf{-8n = -24}\)
\(\huge\textbf{Divide \boxed{\bf -8} to both sides:}\)
\(\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}\)
\(\huge\textbf{Simplify it:}\)
\(\mathbf{n = \dfrac{-24}{-8}}\)
\(\mathbf{n = -24 \div -8}\)
\(\mathbf{n = 3}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Which graph represents y as a function of x?
Answers
Explanation: there is never two y values for one x value
Answer:
A is the only function because it passes the vertical line test. 1 x may only have 1 y
Step-by-step explanation:
the set of integers greater than -3 and less than 2
how to do this ???
Answers
what are the two types of control charts for variables
Answers
The two types of control charts for variables are the X-bar chart and the R-chart.
Control charts are widely used in statistical process control to monitor and analyze the variability and stability of processes over time. They are used for variables data, which are measurements or observations that can be quantified.
1. X-bar Chart: The X-bar chart is used to monitor the central tendency or average of a process. It tracks the sample means over time to detect any shifts or trends. It helps in assessing whether the process is in control or if there are any systematic variations from the target value.
2. R-chart (Range chart): The R-chart is used to monitor the variability or dispersion within a process. It tracks the ranges (the difference between the highest and lowest values) of samples over time. By analyzing the range values, it helps in understanding whether the process is stable and consistent or if there are any unusual variations or outliers.
Together, the X-bar chart and the R-chart provide valuable insights into process performance and allow for early detection of any deviations or abnormalities, helping organizations maintain quality standards and take appropriate corrective actions when necessary.
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What is the answer to
–5(x + 7) = 3x + 29
Answers
Answer:
x = -8
Step-by-step explanation:
Step 1. You have to distribute -5 through the parentheses and you will get -5x-35=3x+ 29
Step 2. Move variable to the left-hand side and change its sign and get -5x-3x- 35= 29 Part 2. Move constant to the right-hand side and change its sign -5x-3x=29+35
Step 3. Collect the like terms -8x=29+35
Part 2. Add the numbers -8x=64
Step 4. Divide both side of the equation by -8
¿Qué par ordenado formaría una relación proporcional con el punto que se muestra a continuación?
On a coordinate plane, a line goes through points (0, 0) and (45, 30). (10, 10)
(25, 35)
(70, 50)
(90, 60)
Answers
El par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.
Determine the proportionEl par ordenado que formaría una relación proporcional con el punto que se muestra a continuación es (90, 60). Para encontrar una relación proporcional en un plano coordenado, debemos encontrar dos puntos que tengan la misma pendiente.
La pendiente de una línea se calcula utilizando la fórmula (y2 - y1) / (x2 - x1).
Usando los puntos dados (0, 0) y (45, 30), podemos calcular la pendiente de la línea:
Pendiente = (30 - 0) / (45 - 0)
= 30 / 45
= 2 / 3
Ahora, podemos calcular la pendiente de cada uno de los pares ordenados dados y compararlos con la pendiente de la línea:
(10, 10):
Pendiente = (10 - 0) / (10 - 0)
= 10 / 10
= 1 (no es proporcional)
(25, 35):
Pendiente = (35 - 0) / (25 - 0)
= 35 / 25 = 7 / 5 (no es proporcional)
(70, 50):
Pendiente = (50 - 0) / (70 - 0)
= 50 / 70 = 5 / 7 (no es proporcional)
(90, 60):
Pendiente = (60 - 0) / (90 - 0)
= 60 / 90 = 2 / 3 (es proporcional)
Por lo tanto, el par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.
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Last week the price of apples at fifer farm was $1.50 per pound this week the price has decreased by 20% what is the price of apples this week
Answers
Answer:
1.20 per pound
Step-by-step explanation:
calculating what the percent is taken from 1.50, simply take the period out of the 150 and multiply by x .20 to get 30 from it, then subtract 30 from 150 to get 120 and from there you can add the period back in. Hope this helps !
Which relationship is always true for the angles r, x, y, and z of triangle ABC? A triangle is shown with a leg extending past the top vertex. The vertices are labeled ABC. Angle y is located inside the triangle at vertex B. Angle z is located inside the triangle at vertex C. Angle x is located outside the triangle between beside vertex A and the extended leg. Angle r is located inside the triangle at vertex A. x + z = y 180 degrees − x = r x + y + z = 180 degrees x + y + z = 90 degrees
Answers
Answer:
y+z=x
Step-by-step explanation:
we know that
The Exterior Angle Property of a Triangle states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
In this problem
Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC
therefore
Applying the Exterior Angle Property of a Triangle
y+z=x
Hope This Helps!
Answer: (180 degrees − x = r)
Step-by-step explanation:
I took the test
Please Help! ddddddddddddddddddd
Answers
Answer:
-7/12
Step-by-step explanation:
-3/4+1/6
-9/12+2/12
-7/12
Answer:
7/12
Step-by-step explanation:
*Hope it helped
Use the imagine to answer the following matching questions.
Name a minor arc-
Name a diameter-
Name a chord that is not a diameter-
Name a central angle-
Name a major arc-
Name a semicircle-
Name a radius-
1. RT
2. QS
3. PS
4. QTR
5.RS
6. QRP
7. QPS
Answers
According to the given figure, minor arc RS, diameter RT, chord PS, central angle QTR, major arc QRS, semicircle QRP, and radius RT
What is a major and minor arc?
An arc is a portion of the circumference of a circle. It is a curve that connects two points on the circumference. A major arc is an arc that measures more than 180 degrees, which is greater than a semi-circle. It covers more than half of the circumference of the circle. A minor arc is an arc that measures less than 180 degrees, which is less than a semi-circle. It covers less than half of the circumference of the circle.
If the angle formed by the two points and the center is less than 180 degrees, then it is a minor arc. Conversely, if the angle formed is greater than 180 degrees, then it is a major arc.
In summary, a major arc covers more than half of the circumference of the circle and measures more than 180 degrees. A minor arc covers less than half of the circumference of the circle and measures less than 180 degrees.
1. Minor arc RS
2. Diameter RT
3. Chord PS
4. Central angle QTR
5. Major arc QRS
6. Semicircle QRP
7. Radius RT
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What is the additive inverse of 21 /- 4?
Answers
The additive inverse of 21/(-4) is 21/4.
What is Additive Inverse?To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.
Given:
21/(-4)
Usually in additive inverse we have to changing the sign of the number and adding it to the original number to get an answer equal to 0.
As, x + (-x)= 0 here (-x) is the additive inverse of x.
Now, 21/(-4) can be written as (-21/4).
Additive inverse of 21/(-4) is +21/4
So, -21/4+ 21/4 = 0
Hence, the additive inverse of 21/(-4) is 21/4.
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Which of the following gives and example of an equation that is non-linear?
A y=2x+1
B y=15/x
C y=10x
D y=x/5
Answers
The answer is A. y=2x+1
A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.
Hope this helps. & don't forget to drink water <3
what is (−1)(−16)(13) =
Answers
Answer:
208
Step-by-step explanation:
(-1)(-16)=16
16×13=208
B is a diameter of a circle, center O.
C is a point on the circumference of the circle, such that ∠CAB = 2 × ∠CBA
What is the size of ∠CBA
Answers
Answer:
cab =2acdhuajsjsidbjxjdbiss
Could someone help me out please and thank u so much
Answers
(A) Given the points (5, -2) and (5, 6);
The slope m, of a line passing through two points is given as;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m=slope} \\ x_1=5 \\ x_2=5 \\ y_1=-2 \\ y_2=6 \end{gathered}\)\(\begin{gathered} m=\frac{6-(-2)}{5-5} \\ m=\frac{8}{0} \\ m=\infty\text{ (undefined)} \end{gathered}\)The slope of the line passing through the points (5, -2) and (5, 6) is undefined
(B) Given the points (-7, 3) and (-7, -3)
Similarly, the slope is given as;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m= slope} \\ x_1=-7 \\ x_2=-7 \\ y_1=3 \\ y_2=-3 \end{gathered}\)\(\begin{gathered} m=\frac{-3-3}{-7-(-7)} \\ m=-\frac{6}{0} \\ m=\infty\text{ (undefined)} \end{gathered}\)The slope of the line passing through the points (-7, 3) and (-7, -3) is undefined.
The numbers in each of the following equalities are all expressed in the same base, r. Determine this radix r in each case for the following operations to be correct. (a) 14/2 = 5 (b) 54/4 = 13
Answers
The radix r in each case for the following operations to be correct are r = 0 and r = 1.85 (approx.)
Given,The numbers in each of the following equalities are all expressed in the same base, r.To find,The radix r in each case for the following operations to be correct.
Solution(a) 14/2 = 5We have, 14/2 = 5
Multiplying both sides by 2, we get:14 = 2 × 5 + 4
Again, multiplying both sides by 2, we get:28 = 2 × 2 × 5 + 2 × 4
Next, we can rewrite 14 as 1 × r + 4 (since the digits are expressed in base r).Thus, we get the following equation:28 = 2 × 2 × (1 × r + 4) + 2 × 4Expanding the right-hand side, we get:28 = 4r + 20 + 8
Simplifying the equation, we get:28 = 4r + 28Therefore,4r = 0or r = 0It should be noted that this value of r cannot be accepted since there is no base in which the digit 14 can be expressed as 1 × r + 4 (since r = 0).(b) 54/4 = 13
We have, 54/4 = 13
Multiplying both sides by 4, we get:54 = 4 × 13 + 2
Again, multiplying both sides by 4, we get:216 = 4 × 4 × 13 + 4 × 2Next, we can rewrite 54 as 5 × r + 4 (since the digits are expressed in base r).Thus, we get the following equation:
216 = 4 × 4 × (5 × r + 4) + 4 × 2
Expanding the right-hand side, we get:
216 = 80r + 68
Simplifying the equation, we get:80r = 148or r = 148/80r = 1.85 (approx.)Thus, the radix r in this case is 1.85 (approx.).
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Hey guys, I was wondering if anyone would know the answer to this problem, What's the perimeter of a shape that's sides are 2 1/18, 2 2/9, and 2 1/18 and 2 2/9? I also attached a file of a screenshot if that helps. I desperately need help. The Answer has to be in a mixed number.
Answers
Answer:
https://brainly.com/question/26947898?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation:
if its wrong then this
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Answer:8 5/9 meters
Step-by-step explanation:
If you get a common denominator and add, 2 4/18 + 2 1/18 + 2 1/18 + 2 4/18 you get 8 10/18 which is 8 5/9 when simiplified.
Can u guys help me please
Answers
you can solve it
-3x+4y=12
add 3x both sides
4y=3x+12
divide 4 by both sides
y=3/4x+4
Answer:
y=3/4x+3
Step-by-step explanation:
It takes a 5/8in piece of magnetic tape to make a desk magnet. How many desk magnets can be made with 12 1/2 piece of magnetic tape?
Answers
62 desk magnets can be made with 12 1/2 inches piece of magnetic tape.
It takes a 5/8 inch piece of magnetic tape to make a desk magnet.We need to find how many desk magnets can be made with 12 1/2 inches piece of magnetic tape?
First, we will convert 12 1/2 into an improper fraction: 12 1/2 = (25/2) inchesNow, we will divide the total length of magnetic tape by the length of tape required to make a desk magnet.
No. of desk magnets that can be made = Total length of magnetic tape ÷ Length of tape required to make a desk magnet
= (25/2) ÷ (5/8)
= (25/2) × (8/5)
= (5 × 25) ÷ 2
= 125/2
= 62.5
Therefore, 62 desk magnets can be made with 12 1/2 inches piece of magnetic tape.
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Complete the statements below. Choose the most appropriate answers from the
words in the box.
income
livelihood
recreation
food
cost-efficient
happiness
helps
expenses
responsible
1. It can be a good source of_____
2. It boost self-confidence, become_____ and thoughtful
3. It can be a source of food such as meat and_____
4. It_____the country's
problem in terms of unemployment.
5. It gives additional source of____
6.It cope up the country's problemin terms of___shortage
7.It helps to minimize the____
of a family
8.It will become a___of a family
9.It Brings___ to one's family
10.Animal raising became one of the most popular_____source of income nowdays
pasagot po pls need na po ito:+
Answers
Answer:
1 food
2 happines
3 live hood
4 help
5 income
The ratio of Cheko's books to Miko's books is 5 : 12. Miko has 48 books. How many books must Miko give to Cheko so that both will have the same number of books?
Answers
Answer:
Step-by-step explanation:
Cheko's books (C) to Miko's books (M) is 5 : 12
C/M = 5/12
C = (5/12)M
We know M=48, so:
C = (5/12)(48)
C = 5*(48/12)
C = 5*4
C = 20 [Cheko has 20 books]
We want M=C, so Miko must give Cheko x number of books so that C/M is (1/1) or 1.
C/M is currently 20/48
We want C/M = (20+x)/(48-x) = 1
(20+x)/(48-x) = 1
(20+x) = (48-x)
2x = 28
x = 14
Once Miko gives Cheko 14 books, they each have the same number: (48-14)/(20+14) = 34/34. Everyone's happy. [We don't know WHICH books Miko chose to give to Cheko. Rumor is all 14 were math books]
I looks better also whats 7% of 798 explain
Answers
Answer:
cappppppppppp
Step-by-step explanation:
jp wyd homie
let f be a function whose domain is all real numbers except 2 and whose derivative is f ′ ( x ) = x 4 x − 2 . on which intervals is the function f increasing?
Answers
If f is a function whose domain is all real numbers except 2 and whose derivative is f′(x) = x + 4/ x − 2, the intervals on which the function f is increasing are (-∞, -4) and (2, ∞)
To find the intervals on which the function f is increasing, follow these steps:
First the critical points of the function f must be found by taking the first derivative of function f and equating f'(x)=0. So, (x + 4) / (x - 2) = 0. This gives x = -4 and x = 2. Since the domain of the function is all real numbers except 2, so the critical point x = 2 does not belong to the domain of the function f.For x<-4, f'(x)>0 in this interval. For -4< x <2, f'(x)<0 in this interval. For x>2, f'(x)>0 in this interval. So, for the intervals (-∞, -4) and (2,∞), the function is increasing.Hence, the intervals on which the function f is increasing are (-∞, -4) and (2, ∞).
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