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

Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price per game?

Answers

Answer:

$2 each

Step-by-step explanation:

$14.50-$4.50=$10.00

10.00/5 games =$2 each

Select all the correct answers.
Which statements are true about function g?

Answers

Answer:

i need the question

Step-by-step explanation:

geomtry plz help 10 points

Answers

Answer:

22.3<x<27.6

Step-by-step explanation:

X=greater than a number but less than another

22.3<27.6

Knowing that we can place 27.6 to the right of x and 22.3 to the left.

Hope this helps :)

Answer:

[tex]4.3<x<50.9[/tex]

Step-by-step explanation:

To find our Inequality sentence we have to add the largest number with the smaller much

[tex]27.6+23.3=50.9[/tex]

To find the second part of our inequality sentence we have to subtract the larger number from the smaller number

[tex]27.6-23.3=4.3[/tex]

Our inequality sentence is               [tex]4.3<x<50.9[/tex]

Brainliest please

Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!

Answers

Check the picture below.

Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3

Answers

Answer:

24 R1

Step-by-step explanation:

   

24R1 is the answer. H

WILL GIVE 100PTS

Find the slope of a line that passes through (-2, -3) and (1, 1).

A. 1 /3
B. 1
C. 2
D. 4/3​

Answers

Answer:

D

Step-by-step explanation:

Y2-Y1/x2-x-1

Answer:

D

Step-by-step explanation:

Formula for slope is (y2-y1)/(x2-x1).

(1-(-3))/(1-(-2)) = 4/3

Please look at the picture.

Answers

n-q = -2-1 =-3
q-n = 1- - 2 = 1+2 =3
n= -2

therefore, least to greatest
n-q
n
q-n

You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous

Answers

Based on the information given the percentage of the brown geese that are heterozygous is 48%.

Random sample = 250

Brown color = 210

Gray color = 250 - 210 = 40

First step is to calculate the proportion of a alleles in the population

Proportion (a alleles)=√40/250

Proportion (a alleles)= √0.16

Proportion (a alleles)= 0.4

Second step is to calculate the proportion of A alleles in the population

p(A) = 1 - 0.4

p(A)= 0.6

Third step is to calculate brown heterozygous percentage using this formula

Brown heterozygous percentage=2pq(Aa)

Let plug in the formula

Brown heterozygous percentage= 2 x 0.6 x 0.4

Brown heterozygous percentage= 0.48 ×100

Brown heterozygous percentage= 48%

Inconclusion  the percentage of the brown geese that are heterozygous is 48%.

Learn more here:https://brainly.com/question/2632209

PLEASE HELP LOOK AT THE PIC BELOW

Answers

Answer:

The simplest answer is

[tex] \frac{16}{21} [/tex]

The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.

[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]

[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]

[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]

[tex]\sf \longmapsto \frac{16}{21} [/tex]

Therefore the answer is :

[tex]\sf \frac{16}{21} [/tex]

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now

Answers

Answer:

5

Step-by-step explanation:

First subtract 6 from 16 to find how many cucumbers she has,

16 - 6 = 10

Now we know she has 10 cucumbers.

Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.

10 - 5 = 5

After subtracting the 5 cucumbers she gave away, we are left with 5

This means Maya has 5 cucumbers now

Find the following limit without using a graphing calculator or making a table.

Answers

Answer:

Step-by-step explanation:

Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 that are multiples of 9

Answers

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set

[tex]\{9,27,45,63,81\}[/tex]

Each member of the set is a term of the arithmetic progression

[tex]U_n=18n+9[/tex]

where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]

Putting these facts together, we get the result

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

Learn more about set-builder notation here: https://brainly.com/question/17238769

HELP PLEASE!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

the formula is y^2-y^1 over x^2-x^1

so the y coordinates here are 5 and -5

5--5=10

the x coordinates are -2 and 3

3--2=5

so we are left with 10/5

the answer is 2

hope this helped

No it’s -2 .

The equation is y2-y1/x2-x1 , which means that you would have to substitute in the points to get -5 - 5 / 3 - (-2) .

So then it would be -10/5 which equals -2

HELP WILL GIVE BRAINLIEST

Answers

0 i think. Im not sure tho hope this helps

(5,65) (7,71) slope

Answers

Answer:

3

Step-by-step explanation:

The slope formula is m=y2-y1/x2-x1

y2 is 71

y1 is 65

x2 is 7

x1 is 5

71-65 is 6

7-5 is 2

So the slope looks like this:

6/2

Simplify:

Which is 3

Hope this helps!

8 times the sum of 2 and a number that is 32

Answers

Answer:

Step-by-step explanation:

d) 8(n+2) = 32

Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.

Answers

7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7

x² + y² - 4 x + 6 y - 5 = 0

( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0

The equation in the standard form is:

( x - 2 )² + ( y + 3 )² = 18

The center is at the point ( 2, - 3 ).

Its radius is: √18 = 3√2 units.

Answer:

A. (x - 2)^2 + (y + 3)^2 = 18.

B. (2, -3)

C. 3(2^(1/2))

Step-by-step explanation:

The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.

Micah earns 2 points for every 3 questions he answers correctly on a test. If he answered 24 questions correctly, how many points did he earn?

Answers

Answer:

16 points.

Step-by-step explanation:

24*2/3 = 16.

Hope this helped!

*Sorry if I'm wrong, though I think I'm correct.*

Enjoy the rest of your day.

Answer:16

Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.

If a line l is perpendicular to a segment AB at point E and AE = EB how many points on line l are the same distance from point A as from point B

Answers

Answer:

101

Step-by-step explanation:

I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.

Answers

Answer:

344

Step-by-step explanation:

Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same

product of x and 4 is decreased by one-quarter

Answers

Answer:

x

Step-by-step explanation:

x times 4 = 4x

4x in 4 quarters: x x x x

One quarter^^ = x

What is the value of x in this triangle?




56.51°


.58°


28.89°


33.49°

Answers

Answer:

  x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

  Sin = Opposite/Hypotenuse

  siin(x) = 32/58

The angle measure is found using the inverse function:

  x = arcsin(32/58) ≈ 33.49°

Answer:

i got 32 is it 32 cause i put 33 cause it was closer

Step-by-step explanation:

plz help i don’t get it help help help

Answers

Answer:

The answer is c

Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.​

Answers

Answer:

f(2) = 5

Step-by-step explanation:

Definitions:

Input values = x-coordinates.

The input values are also known as the domain, which is the set of all real numbers. With the domain of a function, you could substitute any real number into a given function for x and produce a valid output.

Output values = y-coordinates

The range is the set of all real numbers that depend on the input values plugged into the function. Thus, the range represents the output (y-values) that corresponds to the input values used into the function. Function Notation:In the function notation f(x), f  is the function name, and x is your input variable.  Output values are also called functional values.  You could use any letter to represent a function name, such as g(x), w(x), etc.,.Explanations:

This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2.  If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.

Therefore, f(2) = 5.  

Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.

Answer:

  f(2) = 5

Step-by-step explanation:

The 2 in f(2) means you're looking for the value of the function when x=2.

Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...

  f(2) = 5

OMG HELP RN

On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.

Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h

Answers

Answer:

C would be the answer

Hope this helps!

solve the following question​

Answers

Answer:
81
Explanation:
[(2^2) (3^4) (12^3)]/[(2^5) (6^3)]
Whenever you have a number that can be separated into parts you can and give the same exponent:
[(2^2) (3^4) (2^3x2^3x3^3)]/[(2^5)(2^3x3^3)]
Whenever you multiply two terms with the same base, you can add the exponents:
=[(2^8)(3^7)]/[(2^8)(3^3)]
Take both 2^8’s out
=(3^7)/(3^3)
Whenever you have two exponents with the same base divided you just subtract the exponents:
=3^4
=81
The answer is 81

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

60% of students at a local high school participate in club activities. Rewrite this percent as a fraction

Answers

Answer:

The correct answer is 3/5

Step-by-step explanation:

I know its correct :)

Solve the equation.
-9x + 1 = -x + 17

Answers

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.

Answers

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅
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