A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 15% vinegar. The chef wants to make 240 millimeters of a dressing that is 13% vinegar. How much of each brand should she use?

Answers

Answer 1

Answer:

48 mL 5% vinegar, 192 mL 15% vinegar

Step-by-step explanation:

If x is volume of 5% vinegar, and y is volume of 15% vinegar, then:

x + y = 240

0.05 x + 0.15 y = 0.13 (240)

Solve with substitution:

0.05 x + 0.15 (240 − x) = 0.13 (240)

0.05 x + 36 − 0.15 x = 31.2

0.10 x = 4.8

x = 48

y = 192


Related Questions

Which of these is a factor in this expression- 7z^4-5+10(y^3+2). Choices- A- 7z^4-5, B- 10(y^3+2) C = -5+10(y^3+2) D= (y^3+2)

Answers

Answer:

D. ([tex]y^{3}[/tex] + 2)

Step-by-step explanation:

A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;

7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20

Factorizing the expression gives;

7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)

Therefore, it would be observed that the factor in the expression is;

([tex]y^{3}[/tex] + 2)

my account isnt working can you please look at it s

Answers

For what? Is it a website or is it Brainly?

Answer:

What account are you talking about?

Step-by-step explanation:

The product of 21 and 5291 equals 111,111
Find two other whole numbers that have the
product 111,111.
b. Find two whole numbers that have the product
222,222.
Find two whole numbers that have the product
555,555.

Answers

Answer:

a

Step-by-step explanation:

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.

Suppose you want to scale the copy back to its original size. What scale factor should you use?

Answers

Answer:

1/7.

Step-by-step explanation:

You use the inverse of 7 which is 1/7.

In order to back to its original size, we need to take a scale factor of 1/7.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.

If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.

Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.

Hence "In order to back to its original size, we need to take a scale factor of 1/7".

To learn more about scale factors,

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sketch and label the figures described. Use dashes for hidden parts.

Answers

Answer:

this means that the figures given to you , sketch and label the ones described and use dashes for hidden one

Step-by-step explanation:

If an objects mass is 10kg what is it’s weight?

Answers

Answer:

Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.

Step-by-step explanation:

Use the box-and-whisker plot shown to answer the following question.
What is the interquartile range?
A. 4
B. 6
C. 9

Answers

Answer:

15-9=6 So the answer is B. 6

It’s B. Goodbye have a nice day

A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the maximum number of boxes that can be stacked in this space?

Answers

Answer:

Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer

The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.

But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,

Space left to keep the boxes = 36 inches - 9 inches

                                                 = 27 inches

Now, the number of boxes that can be put in the leftover space is,

Number of boxes = 27 inches / 6 inches

                             = 4.5

Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.

Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

Learn more about Division here:

https://brainly.com/question/369266

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460

Wrote this in word form and expanded form?

Answers

Answer:460 in word form: Four Hundred Sixty

460 in expanded form: 400+60

If the correlation coefficient has a negative value, then the coefficient of determination:_________.a. can take on either a negative or positive value.b. must be positive.c. will also have a negative value.d. will equal zero.

Answers

Answer:

Step-by-step explanation:

The sign of r depends on the sign of the estimated slope coefficient b1:

If b1 is negative, then r takes a negative sign.

If b1 is positive, then r takes a positive sign.

That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.

One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:

r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√

If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.

Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:

r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1

find the inverse
f(x)=3x-2

Answers

Answer:

Step-by-step explanation:

hello friend

the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

To find the inverse, interchange the variables and solve for y

[tex]f^{-1}[/tex](x) =  [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

Hope this helps

plz mark as brainliest!!!!!!

Wich compound inequality is graphed below?

Answers

Answer:

the third one: -15 <= 4x-3 < 5

Can someone please help me with this question? Thanks.

Answers

Answer:

f(x) = 3 + 5x

Step-by-step explanation:

For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.

This means that f(0) = 3.

And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.

Hence, we will create the function equation:

f(x) = 3 + 5x

Cheers.


A father earns a $2000 dividend from an oil investment and
distributes it equally amongst his children.

Answers

Answer:

To divide the money evenly, without him taking any, use the formula in which x is the amount of children.

2000/x

It's that simple!

2000 dollars divided by x children.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

You buy a container of cat litter for $12.25 in a bag of cat food for X dollars the total purchase is $19.08 which includes 6% sales tax right and solve equation to find the cost of the cat food

Answers

Answer:

List Price = $ 20.30

Discount Amount = $ 1.22

A number divided by eleven.

Answers

Answer:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

Simply the exponential expression 5^2​

Answers

Answer:

25

Step-by-step explanation:

The difference of four times a number and six is two. Find the number

Answers

Step-by-step explanation:

4(x-6)=2

4x-24=2

4x=2+24

4x=28

x=7

PLEASE HELP I WANNA Sleep BC it's midnight

Please answer both A and B

For Brainliest

Answers

Pick any of the two sides and set them equal to one another. So we'll have three different equations

4(x-1) = x+8

or

x+8 = 2x+4

or

4(x-1) = 2x+4

This works because in any equilateral triangle, the three sides are the same length.

--------------------------

If you're curious about the value of x, then we could do the following steps.

x+8 = 2x+4

2x+4 = x+8

2x-x = 8-4

x = 4

If x = 4, then

4(x-1) = 4(4-1) = 12x+8 = 4+8 = 122x+4 = 2*4+4 = 12

Each side is 12 units long

Answer:

5-x=40+29 (x=69)

Step-by-step explanation:

The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how much did the water level drop from 1930 to 2010?

Answers

Answer:

33ft below sea level

Step-by-step explanation:

423-390=33ft

A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?

Answers

Answer:

7

Step-by-step explanation:

The area for a parallelogram is given by the following formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

We already know the area is 28 and the height is 4. So, substitute:

[tex]28=4b[/tex]

Divide both sides by 4:

[tex]b=7[/tex]

So, the base length is 7.

Our answer is 7 :)

Hey there! I'm happy to help!

The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.

28/4=7

Therefore, our base is 7 feet.

Have a wonderful day! :D

A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?

Answers

Answer: 108336

Step-by-step explanation:

given data:

cards on deck = 52

Since  2 queens are supposed to be in the  5 card hand. Therefore, 2 queens are choosen since we have a total of  4.

Since  2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.

(42∗483)+(43∗482)+(44∗481).

= (6 * 17296) + (4 * 1128 ) + (1 * 48)

= 103776 + 4512 + 48

=108336

Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?

Answers

Answer:

 the midpoint of the class with the greatest frequency 1500

Step-by-step explanation:

The illustration of the dataset given can be well represented in a table format as shown below.

Class                      Frequency                     Relative Frequency

$600 - $800                   3                              [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]

$800 - $1000                  7                              [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]

$1000 - $1200                11                              [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]

$1200 - $1400                22                             [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]

$1400 - $1600                40                            [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]

$1600 - $1800                 24                            [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]

$1800 - $2000                 9                            [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]

$2000 - $2200                4                             [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]

Total                               120                                           1

Therefore, the midpoint of the class with the greatest frequency is between  $1400 - $1600  since the frequency 40 happens to be the greatest frequency

The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]

The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]

= 1500

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.1 for a two-tailed test.a. ±1.645b. ±2.052c. ±1.4805d. ±2.33

Answers

Answer:

The critical z value used to test a null hypothesis is ±1.645.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

And we have to find the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test.

Firstly, as we know that to find the critical z value we need only the level of significance to be known.

Here, the level of significance is given = [tex]\alpha[/tex] = 0.10

But for the two-tailed test, the level of significance to be considered is given by = [tex]\frac{\alpha }{2}[/tex] = [tex]\frac{0.10}{2}[/tex] = 0.05 or 5%.

Now, in the z table; we can see that the critical z value at a 5% level of significance (for the two-tailed test) is given as 1.645.

Hence, the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test is ±1.645.

According to the z-distribution, the critical value is given by:

a. ±1.645

The critical value for a two-tailed test with a significance level of [tex]\alpha[/tex] is |z| such that -z has a p-value of [tex]\frac{\alpha}{2}[/tex].

In this problem, [tex]\alpha = 0.1[/tex], then [tex]\frac{\alpha}{2} = 0.05[/tex].

Looking at the z-table, z has a p-value of 0.05 for z = -1.645, hence the critical value is ±1.645

A similar problem is given at https://brainly.com/question/18306091

Given the relation D={(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function? (A)-3 (B)-6 (C) 8 (D) 6

Answers

Answer:

  (B)  -6

Step-by-step explanation:

If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.

Simplify 4(x + 40) +2(x -3) plsss help

Answers

Answer:

6x + 154

Step-by-step explanation:

4(x + 40) +2(x -3) =

4x + 160 + 2x - 6 =

6x + 154

Answer:

2(3x + 77)

Step-by-step explanation:

4(x+40)+2(x-3)

4x+160+2x-6

6x+154

=2(3x+77)

30 Points! will mark brainliest. answer asap Two angles form a linear pair. The measure of one angle is 23 the measure of the other angle. Find the measure of each angle. Smallest angle: Largest angle:

Answers

Answer:

157 degrees

Step-by-step explanation:

the two angles should add up to 180 degrees, so 180 - 23 = 157

answer

smallest 72 and the largest 108

Which polynomials can be factored using the binomial theorem? Check all that apply. x2 + 20x + 400 x2 + 40x + 400 x3 – 3x2 + 9x – 27 x3 – 9x2 – 27x – 27 256x4 – 64x3 + 16x2 – 4x + 1 256x4 – 256x3 + 96x2 – 16x + 1

Answers

Answer:

(x2 - 5x + 7) • (x - 4)

Step-by-step explanation:

Answer:

SECOND AND LAST ONE

x2 + 40x + 400

256x4 – 256x3 + 96x2 – 16x + 1

Step-by-step explanation:

The compositions f(g(x)) and g(f(x)) of functions fand g are shown on the graphWhich statements describe the compositions? Check all that apply

Answers

Answer:

a,c,d,f      had the same problem just now

Step-by-step explanation:

Answer:

The answers are A, C, D, E !

Step-by-step explanation:

Solve the equation: q – 17 = 23

Answers

Answer:

Hey there!

q-17=23

+17=+17

q=40

Let me know if this helps :)

Answer: q = 40

Explanation:

q - 17 = 23
q = 23 + 17
q = 40
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