A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar. How much vinegar and how much Italian dressing should she use?

Answers

Answer 1

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:  We substitute the value of B into one of the two equations and solve for A.


Related Questions

What is the value of q?
s
O 4,5
O2/14
s
O 20/5
R
r
O 64/5
4
T
10

Answers

Answer:

the value is 36

Step-by-step explanation: so you add

The value of q is 36 in the equation  q+9=45

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is q+9=45

q plus nine equal to forty five

We have to find the value of q

Plus is the operator

q is the variable

Subtract 9 from both sides

q=45-9

q=36

Hence, the value of q is 36 in the equation  q+9=45

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Find the value of q in equation q+9=45

I NEED HELP FAST> THIS PROBLEM IS SO CONFUSING!! the ^ mean exponents
after simplifying, what will x be equivalent to? (a^4)^6=a^x

Answers

Answer:

x will be equivalent to 24

Step-by-step explanation:

apply the multiplication rule to the exponents in (a^4)^6

4 times 6= 24, so (a^4)^6 is equivalent to a^24

I need! can you help me?

Answers

Answer:

C maybe

Step-by-step explanation:

there are 12 dozen pencils in a gross. how many pencils are in 15 gross

Answers

Answer:

A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).

23. The mean weight of trucks traveling on a particular section of 1-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons. What is probability that a truck will weigh less than 14.3 tons

Answers

Answer:

0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.

This means that [tex]\mu = 15.8, \sigma = 4.2[/tex]

What is probability that a truck will weigh less than 14.3 tons?

This is the pvalue of Z when X = 14.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14.3 - 15.8}{4.2}[/tex]

[tex]Z = -0.36[/tex]

[tex]Z = -0.36[/tex] has a pvalue of 0.3594

0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons

What’s the equation of line n?

Answers

Answer:

y=3x - 1

Step-by-step explanation:

the y - intercept is -1

Good Luck!!

equation on
1) -6 = 9
2) 7a - 4 = = 3a + 4
3) 6y + 5 = 3y + 6
4) 5b + 2 = 3b + 10
please help​

Answers

Answer:

I know you are 100 percent Clear.

Given that v = (5,-4,4) and w = (9,-2,7) evaluate v • w.
A. 81
B. 19
C. (45,8,28)
D. (-40,-16,-8)

Answers

Answer:

81

Step-by-step explanation:

Evaluating v • w

Recall: Given vectors a and B in Cartesian plane, x, y and z

vector a = [ax ay az] and b = [bx by bz]

The dot product is :

a•b = axbx + ayby + azbz

Using the relation above,

v • w = (5*9) + (-4*-2) + (4*7)

v • w = 45 + 8 + 28

v • w = 81

Hence, v • w = 81

Plz help ASAP plz ASAP plz

Answers

Answer:

8

Step-by-step explanation:

where the 2 lines cross would be the point at which they are the same. It appears as if their point of intersection is at 8 rentals for $14

Between what two numbers would 9 be located on a number line?

A. 8 and 10
B. 7 and 8
C. 9 and 10
D. 10 and 11

Answers

[tex]it \: is \: simple \\ between \: 8 \: \: \: 10[/tex]

Answer:

A

Step-by-step explanation:

the between of two bumber of 9 is 8 & 10 8<9<10

Which is the y-intercept of the equations?
Equation A
Х 0
Y 1
1
4
2
9
3
16
Equation B
f(x) - -x+ 2
O A: -1, B: 2
O A: 2, B: 0
O A: 1, B: 2
O A: -1, B: -1
to coarch

Answers

Answer:

0, 1 would be y-intercept

Step-by-step explanation:

0, 1 is where the line crosses the x-axis

In ΔABC, a = 1.9 inches, b = 7.1 inches and c=7.4 inches. Find the measure of ∠B to the nearest degree.

Answers

Answer:

74°

Step-by-step explanation:

Given  ΔABC with:

a = 1.9 in, b = 7.1 in, c=7.4 in

To find

∠B

Solution

Use the law of cosines

cos B = (a² + c² - b²)/(2ac)cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)cos B = 0.283m∠B = accos (0.283)m∠B = 74° (rounded)

Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)? ​

Answers

Answer:

y>-2

Step-by-step explanation:

Answer on E2020

Answer:

The correct answer is D)  y>-2

Step-by-step explanation:

Edge 2021.

Hannah worked 26 of the math problem for the math competition. Van worked 35 of the math problem. How many math problem did they work together​

Answers

61

26 + 35 = 61
Not sure if this is what your looking for but hope it helps
0 Because they both were in a competition with each other

Hypothesis Testing is the use of statistics to determine the probability that a given claim is true. In Part II of this project, you will choose a data set, review claims and perform hypothesis testing and make a decision. You will then complete a write-up that includes the calculations. The government logs the number of documented births, deaths, marriages and divorces; however, it is possible to have undocumented cases. In part II of this project, you are going to test claims about total births, deaths, marriages and divorces. Deliverables Choose a Data Set. Go to https://www.cdc.gov/nchs/products/nvsr.htm (Links to an external site.) In the search bar type: Births, Marriages, Divorces, and Deaths screenshot of CDC website toolbar Pick a DataSet and download the PDF document and make note of the volume, number, and date. For example you could use the National Vital Statistics Reports, screenshot of National Vital Statistics Reports webpage Pick the same month/year combination for each data set. For example, choosing September of 2009. screenshot of example dataset Preliminary Calculations Create a summary table for 1. Live Births, 2. Deaths, 3. Marriages, and 4. Divorces highlighting the mean, median, sample standard deviation, minimum and maximum values for each the data sets. You will have FOUR tables using the list of values of each state, the District of Columbia and Puerto Rico (You will have 52 numbers for each data set). Summary Table for _________ Mean Median Standard Deviation Minimum Maximum Hypothesis Testing With the information that you gather from the summary tables, test the following (you can use excel when appropriate): Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance. Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance. Determine if there is sufficient evidence to conclude the average amount of marriages is greater or equal to 2500 in the United States and territories at the .05 level of significance. Determine if there is sufficient evidence to conclude the average amount of divorces is less than or equal to 4000 in the United States and territories at the 0.10 level of significance. For each of the tests above, in your report, be sure to— Clearly state a null and alternative hypothesis Give the value of the test statistic Report the P-Value Clearly state your conclusion (Reject the Null or Fail to Reject the Null) Explain what your conclusion means in context of the data. Lastly, propose and conduct your own test of hypothesis about the Birth, Death, Marriage and Divorce data that you have been analyzing. Make sure to follow the five steps above.

Answers

I don’t understand what your asking it’s to long and spaced together, could you type it in the comments just the question?

7 boys to 2 girls is equivalent to which ratio? 21 boys to 6 girls 14 boys to 5 girls 21 boys to 9 girls 42 boys to 12 girls​

Answers

7:2 = 21:6

This is because 7:6 is a simplified form of 21:6

Hope this helps; have a great day!

Please help I will give brainily and more, NEEDING SMART PEOPLE

On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.


1.) Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I on a coordinate plane. Use complete sentences to describe the strategy.

2.) Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.

3.) Use the distance formula and the coordinates of points G and I
to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.

Answers

Answer:Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

Find the perimeter of the rectangle for the given measurements.
Width = 1.5 feet
Length = 2.7 feet
Perimeter = _____ feet (round your answer to the nearest tenth)​

Answers

Answer:

8.4 feet

I would appreciate Brainliest, but no worries.

What point is 4 points from m

Answers

Answer:

A

Step-by-step explanation:

Have a nice day :)

Answer:

point A

Step-by-step explanation:

counting m 4 steps down to A

A point P moves such that it is three units from the point (3, 4). Obtain the
equation of the locus of P.

Answers

The right answer is y=-3

Answer:

Equation of a line at a distance of 2 units from xaxis is k = 2  So the locus is y = 2

I NEED HELP PLZ ( WILL GIVE BRAINLYIST) ( NO LINKS)

Answers

9514 1404 393

Answer:

  66 cm²

Step-by-step explanation:

The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.

The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.

The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.

The dimensions of the rectangle are shown a the bottom and the left sides of the figure.

  triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²

  rectangle area = LW = (12 cm)(5 cm) = 60 cm²

Total polygon area = 6 cm² + 60 cm² = 66 cm²

7. Lines that intersect forming a square corner is called
a. Parallel lines b. Intersecting lines c. Perpendicular lines

Answers

Answer:

c. Perpendicular lines

Step-by-step explanation:

A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls.Set up the hypotheses in order to determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%.

Answers

Answer:

We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %

Step-by-step explanation:

A pew research finds  that  23 %  ( μ ) of Americans use only cell phone

Sample Information

sample size   n  = 200

x₁  =  51     then   p₁  = 51/200   p₁  =  0,255

and  q₁  =  1  - p ₁    q₁  =  1  - 0,255    q₁  =  0,745

Sample big enough for the approximation of the binomial distribution to the normal distribution

p₁*n  = 0,255 * 200 = 51  > 5   and   q₁*n    = 0,745* 200 =  149 > 5

Test hypothesis

Null hypothesis                       H₀              p₁  = μ = 0,23

Alternative hypothesis           Hₐ              p₁  ≠  0,23

Is a two tail test. We choose CI = 95 %  then significance level is                    α = 0,05 %

α = 0,05 as is a two tail test   α/2  = 0,025

from z-table  z(c) = 1,96

To calculate  z(s) = ( x  -  μ ) /√p₁*q₁/n  

  z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200

z(s)  =  0,025 / 0,0308

z(s)  = 0,81

Comparing z(s)   and  z(c)

z(s) < z(c)      0,81 < 1,96

Then  z(s) is in the acceptance region: we accept H₀

-2 is the ________ of 2

Answers

Answer: -2 is the numerical opposite of the number 2. Any numbers opposite is it's negative form. (except for 0 due to there being no opposite for something that is not negative or positive.)

write the log equation as an exponential equation

Answers

Answer:

[tex](z+5)^{(3x+4)} = 9[/tex]

Step-by-step explanation:

Tip: When [tex]log_{a} b = c[/tex], [tex]a^{c} =b[/tex] is also true.

[tex]log_{z+5} (9) = 3x+4[/tex]   | Original equation

[tex](z+5)^{(3x+4)} = 9[/tex]      | Use tip

Answer:

z+5 3(x+4

This is your answer.

What is the approximate area, in square units, of the circle shown below?

Answers

9514 1404 393

Answer:

  50.3 square units

Step-by-step explanation:

The circle has a diameter of 8 units, so a radius of 4 units. The area formula is ...

  A = πr²

  A ≈ 3.14159(4²) ≈ 50.265

The area of the circle is about 50.3 square units.

What is the solution to 3/4 * a > - 18

Answers

Answer:

 a > -24

Step-by-step explanation:

3/4*a-(-18)>0

           3

Simplify   —

           4

  3        

 (— • a) -  -18  > 0

  4        

3a + 72  =   3 • (a + 24)

3 • (a + 24)

 ————————————  > 0

      4      

 a > -24

         

Is 0.6 greater than 0.85?? ( 4th grade work)

Answers

Answer:

No its not

Step-by-step explanation:

Answer:

No, 0.85 is greater.

Step-by-step explanation:

Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.

If light travels at a speed of 300,000,000 meters per second. Find the distance travelled by light
in:
1 second

Answers

Answer:

299792 km in one second

Step-by-step explanation:

I think it's helps you

Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6

Answers

Answer:

answer is +4...

Step-by-step explanation:

when x=6, the expression becomes

2(6)^2+ 4-5

2(36)+(-1)

72-1=71

therefore 71+4 gives 75

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