a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?​

Answers

Answer 1

Answer:

273 mL of 5%117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.


Related Questions

How do I convert 10.8 mg to ml

Answers

You can’t convert mg to mL not compatible with each other

Answer:

10.8mg to ml

Step-by-step explanation:

If you want to convert mg to ml of water you use

1ml=1000mg,then convert the units

1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B

= 1ml=1000mg

B=10.8mg

=1ml*10.8mg

1000mg

=0.0108ml

Can someone please help me with #1,2,3,4 and 5 using a motion detector?

The motion detector measures how far away you are from the device over 5 seconds.

For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).​

Answers

Problem 5

Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.

The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.

For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.

The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.

For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.

After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.

To recap, we have this summary of motion (or lack thereof)

The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detector

Each section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.

============================================================

Problem 6

It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.

Answer:

The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the device

Once again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).

============================================================

Problem 7

There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.

S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.

Answer:

The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.

============================================================

Problem 8

This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.

The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.

Answer:

The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector

============================================================

Problem 9

We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.

The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.


Divide £945 in the ratio 2:5

Answers

The answer is 675. 2270. 657

simplify fully
2√3 x 3√8​

Answers

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

The AVID teachers are collecting boxes for charity. They have asked 60 teachers to donate 5 boxes. if 20% of the teachers donate 5 boxes each, how many boxes will AVID collect? please show work

Answers

Answer:

60 boxes

Step-by-step explanation:

1. First find 20% of 60 (multiply 60 by .2) to get 12.

2. So 12 teachers will donate 5 boxes each (12 x 5=60)

Answer: The answer would be 60 boxes.

Step-by-step explanation: If there are 60 teachers and only 20% of the teachers donate, then you could say that there is only 0.2 of the teachers who donated boxes. This gives you 0.2 times 60 which equals 12. If each teacher donates 5 boxes each and there are 12 teachers who donated, then there would be a total of 60 boxes donated.

Hope this helps.

Which is the graph of the linear inequality Ex-2y> -6?
10

Answers

Answer:

y<3 is a horizontal line, not included, but all the points below it

Step-by-step explanation:

[tex] - 2y > - 6[/tex]

[tex]y < 3[/tex]

How do you find the null hypothesis when you have the alternative hypothesis?

Answers

Answer:

If an alternative hypothesis is accepted the result of the study became significant

solve pls brainliest

Answers

Answer:

w=2.5

Step-by-step explanation:

divide 12.5 by 5: 12.5/5=2.5, so w=2.5

Answer:

2.5

Step-by-step explanation:

To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5

5
which ratio is greater than 5/8
12/24
3/4
15/24
4/12

Answers

Answer:(B)

Explanation: 3/4. Hope this helped :)

Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p

Answers

Answer:

Step-by-step explanation:

Wow, that’s interesting!

Is this a question?

A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft

Answers

Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.

The volume of a pool of length l, width w and height h is given by:

[tex]V = lwh[/tex]

Applying implicit differentiation, the rate of change of the volume is given by:

[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]

Neither the width nor the length changes, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0[/tex], and:

[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]

We are given that:

[tex]\frac{dV}{dt} = 0.3, l = 20, w = 40[/tex], hence:

[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]

[tex]0.8 = 20(40)\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{0.8}{800}[/tex]

[tex]\frac{dh}{dt} = 0.001 [/tex]

Water level is rising at rate of 0.001 ft/sec.

A similar problem is given at https://brainly.com/question/9543179

A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?

Answers

The answer is e ……..

Since there is no number greater or less than the above one, it doesn't contain any outlier.

The given data set is

17.2  22.1  18.5  17.2  18.6  14.8  21.7  24.1  13.3  16.2

17.5  19.0  23.9  14.8  13.5  15.8  13.1  16.1  21.9  23.9

19.3  15.4  16.7  19.5  16.2  16.9  17.1  20.2  19.7  18.7

17.6  15.9  15.2  17.1  15.0  15.8  16.3  22.8  22.2  21.7

20.7  12.0  19.9  19.4  13.4  19.8  17.7  18.8  21.6  11.9

What is variance?

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

(a) Sample Mean = The Sum of the given terms/Number of terms

So, sample mean as µ=17.954

Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]

=9.97

Standard deviation s=√9.97

=3.16

b) The standard error can be denoted by:

s/√n-1 = 3.16/√49

=0.45

c) For the given data,

The value of the least sample number =12.0

The value of the greatest number in sample=24.1

So, Q1=15.83

Median =17.75

Q3=19.88

d) The IQ range would be as follows:

Q3-Q1=19.88-17.75

=4.05

The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

To learn more about the standard variation visit:

https://brainly.com/question/8889532.

#SPJ2

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer: 12

Step-by-step explanation:

Answer:

it would be 9

Step-by-step explanation:

All but nine died means "everything except nine goats died"

All 12 goats died.

A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe

Answers

My friends the answer is 3.

  24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60

  4 divided by 12 is 3

       

4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. linear function; linear term: x; constant term: −12

B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

D. linear function; linear term: 6x2; constant term: −12

Answers

9514 1404 393

Answer:

  C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12

Step-by-step explanation:

A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.

The "linear" term is the one that has degree 1.

The "constant" term has no variable.

In the quadratic function ...

  f(x) = 6x^2 +x -12

the quadratic term is 6x^2

the linear term is x

the constant is -12

Answer:  The answer is either letter B or letter C

C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Step-by-step explanation:

Find the degree of the function to determine if linear.  f ( x ) =  6 x 2 + x − 12  is not a linear function

Nothing further can be done with this topic. Please check the expression entered or try another topic.  f ( x ) =  6 x 2 + x − 12

A store sells six cupcakes for $7. How much do 18 cupcakes cost?

Answers

Answer:

21 cupcakes

Step-by-step explanation:

6 = $7

18 = 6 x 3

18 = 7 x 3

18 = $21

Answer:

21

Step-by-step explanation:

We can use proportions to solve

6 cupcakes        18 cupcakes

------------------- = -----------------

7 dollars               x dollars

Using cross products

6x = 7* 18

6x =126

Divide by 6

6x/6 =126/6

x =21

What expression is equivalent to 5(x+7)

Answers

Answer:

5x + 35

Step-by-step explanation:

A survey concluded that 5 out of every 6 teachers
drink at least one cup of coffee in the morning
before school. If Lubbock Middle School has 78
teachers, approximately how many teachers
would you predict drink at least one cup of coffee?

Answers

Answer:

5+6= 11

78-11= 67

That is the final answer

Please help quick!!!
Answeer two questions

Answers

Answer:

x = 4[tex]2^2*3*7[/tex]

Step-by-step explanation:

First, we add 16 and 28 [tex]16+28=44[/tex]

Now we have to solve for x

We know we have to do parenthesis first so [tex](4+7)=11[/tex]

[tex]44=x(11)[/tex]

Then we divided both sides by 11

[tex]\frac{44}{11} =\frac{11x}{11}[/tex]

[tex]x=4[/tex]

To find the Prime Factorisation of 84 we have to divide 84 by the smallest prime number which is 2

So [tex]\frac{84}{2} = 42[/tex]

Since 42 is an even number we can still divide it by 2

So [tex]\frac{42}{2} = 21[/tex]

Now we can divide 21 by the 2nd smallest prime number which is 3

So [tex]\frac{21}{3} = 7[/tex]

So the prime factors of 84 would be [tex]2*2*3*7[/tex] or [tex]2^2*3*7[/tex]

You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?

Answers

Answer:

9.75*1.2= 11.7min (time spent reading in science)

24.5*0.8=19.6min (time spent reading play)

19.6+11.7= 31.3min (total time spent reading)

4.
Faiza had 1/2 litres of juice in a jug. She drank of it in the 1/4
morning. Her sister added 3/8 ſlitres more in the jug. How much juice
is in the jug now?

Answers

Step-by-step explanation:

1/4*0.5lit=0.125lit

0.125+(3/8*1000)=0.125+0.375=0.5lit

Statistics question 8

A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.

Answers

Answer:

This will not produce an unbiased sample

Step-by-step explanation:

Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones

Solve for m.

35m>−30


a. m>−50

b. m<−50

c. m>−18

d. m<−18

Answers

Answer:

A.

m>-50

i asked for all the quizzes answers on my questions and i will tell you!

Step-by-step explanation:

k12

Answer:

m<-50

Step-by-step explanation:

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.


y=59(0.59)^x

what is the % increase

Answers

Answer:

Step-by-step explanation:

y=59(0.59

As the number under the exponent is less than 1, this is a decay function.

Value of y will be decreased by (1.00 - 0.59)100 =  41% for each unit increase in x.

(PHOTO) Please help need this done by tomorrow thank you​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

[tex]3x + 2 = x + 28[/tex]

now let's deduct x from both sides ~

[tex]3x + 2 - x = x + 28 - x[/tex]

[tex]2x + 2 = 28[/tex]

therefore, the missing term in the box is ~ 2

[tex] \boxed{2}x + 2 = 28[/tex]

Answer:

? = 2

Step-by-step explanation:

To get the x to the other side, subtract x on both sides, then combine like terms.

[tex]3x+2=x+28\\3x+2-x=x+28-x\\2x+2=28[/tex]

what is the value of x?
(3x-1)º​

Answers

(3x-1)))))]))))))))])))))))))))))])))))))))))))))))))))))

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.

Answers

Testing the hypothesis using the z-distribution, it is found that the statement is False.

At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.

Looking at the z-table, z = -1.5 has a p-value of 0.0668.

Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.

A similar problem is given at https://brainly.com/question/16695704

Write the equation of the circle centered at (10, – 4) that passes through (14, 12).

Answers

Answer:

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer:

9

Step-by-step explanation:

All but 9

Answer:

12

Step-by-step explanation:

I used a calculator I hhhhhhj

Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?

Answers

Answer:

Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Step-by-step explanation:

Other Questions
Write an expression to represent the perimeter of the figure below. !!NEED ASAP!!The London Eye is Europe'slargest Ferris wheel with adiameter of 120 meters. It takes30 minutes for the wheel to makeone full rotation. If the wheel isrunning continuously, how far willa passenger travel in 40 minutes?Round your answer tothe nearest tenth. Which group of people was one o fthe first to spread hte idea of worshipping only one god?. PLZ HELPP I NEED THIS ASAP ROUND TK THE NEAREST TENTH HELP ASAP GIVING BRAINLEST c.How can you explain natural selection in evolution of insects from the time they evolved till our days now? Which of the following is not a major motivation behind the rise of American Imperialism?Group of answer choicesLearn about other culturesCompete with countries like Great Britain and France militarilyA Belief in Cultural SuperiorityStrengthen the Economy someone please help me When deriving the Quadratic Formula, we start with the general equation for a quadratic: TB MC Qu. 11-59 (Static) A limitation of the internal rate of return... A limitation of the internal rate of return method is that it: write a summary about what happened in chapter 6 in mayflower treasure hunt 8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.b. Find the cost of a small box of oranges and the cost of a large box of oranges Since the features and functions of complex products like CRM or ERP are not easy to identify, ________ is a major task when implementing enterprise systems. Which study is a researcher who wants to draw correct cause-and-effect conclusions about the sense of smell likely to conduct?. Together, the landforms at B, C, and E on the map above are known as the __________.A.African Great LakesB.SahelC.SaharaD.Lake DistrictPlease select the best answer from the choices providedABCD I need to know what is in the process box, it goes with the formula y=mx+b How to determine left scapula from right scapula. A 5.35 M sugar solution is diluted from 240.0 mL to 862.5 mL. What is the concentration of the dilute solution Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5. discrete packets of kinetic energy in light are called What are you most thankful for? Please give 2-3 examples. At least 3 sentence for full credit.