A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 380 milliliters of a dressing that is 7% vinegar. How much of each brand should she use?

Answers

Answer 1

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Step-by-step explanation:We want the total mixture to be 310mL so: F + S = 310

 

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

 

Now, we can solve the system of equations using substitution.

 

F + S = 310

.06F + .11S = .08(310)

 

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

 

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

 


Related Questions

What is the slope for these cordinates


(-8,11) , (17,4)

Answers

Answer:

[tex]\displaystyle m = \frac{-7}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{-7}{25}[/tex]

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex]

[tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]

The slope is -7/25.

John solved the inequality 3x – 5 ≥ 28 and determined that x could equal 12. Is John correct? Explain why or why not.

Answers

Answer:

John is correct

Step-by-step explanation:

Let's solve the inequality:

[tex]3x-5\geq28[/tex]

[tex]3x\geq33[/tex]

[tex]x\geq11[/tex]

As we can see, the value of x can be either 11 or anything greater than 11. Since 12 is included in that solution set, John is correct.

wait

Step-by-step explanation:

ignore what I just said I was on crack bro

PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT

Answers

Answer:

14,20

Step-by-step explanation:

It would be 14 and 20

The table below shows a proportional relationship.
X
-4
-2
0
2
4
у
-14
-7
7
14
What is the constant ratio k, Y ?
2

Answers

Answer: I think it is -7 and +7

Which set of values are equivalent.

Answers

[tex] \frac{3}{10} ,30\%,0.3 \\ [/tex]

pls pls plz plz pls help

Answers

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?

Answers

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

https://brainly.com/question/24875240

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Complete the two column proof

Answers

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

mathematics 8
.................................................plz helpp

Answers

Answer:

[tex]y\geq 18x+19y[/tex]

[tex]x+y\leq 13[/tex]

Step-by-step explanation:

Hope this helped! :)

5 meals cost 20 how much would 15 meals be

Answers

Answer:

15 meals would be $60

Step-by-step explanation:

15 ÷ 5 = 3

1. 5 = 20

2. 5 = 20

3. 5 = 20

15 = 60

Hope this helps! :)

What is the area of this figure?

Answers

Answer:

The area of this figure is 24mm.

Step-by-step explanation:

4mm*3mm=12mm

1mm*6mm=6mm

3mm*4mm=12mm/2mm=6mm

6mm+6mm+12mm=24mm

Evaluate223×225Give your answer as a mixed number in its simplest form.

Answers

The answer is 50, 175

What is the slope of a line that contains the point
(3,7) and has a y-intercept of 1?

Answers

The slope is 2
Hope this helps!

find the value of A


help please

Answers

Answer:

a= 6

Step-by-step explanation:

(7a-4)= 38

7×6= 42

42-4= 38

ARAT TIETE (Simplify): V125 - V45+ V5​

Answers

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

Which statement is an example of the transitive property of congruence?
A. If A EFG = AHJK, then AHJK = A MNP.
B. AEFG = AEFG
C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.
D. If A EFG - AHJK, then AHJK - A EFG.

Answers

Answer:

my answer was d. 90 percent sure .

Step-by-step explanation:

The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

Meaning of the transitive property of congruence

This transistive property holds congruent figure. it is states that: If Figure A is equal to figure B and Figure B is equal to Figure C, then Figure A will be equated to Figure C.

For example: AB = CD; CD = EF, then AB = EF

if angle A is equivalent to angle B and angle B is equivalent to angle C; then angle A will be equivalent to angle C

in conclusion, The statement which is an example of the transitive property of congruence is C. If A EFG : AHJK, and AHJK = AMNP, then A EFG = AMNP.

Learn more about transitive property of congruence : https://brainly.com/question/7042091

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a letter is chosen at random from the word 'mathematics'. Fin the probability that letter T is not chosen.​

Answers

Answer:

2/11 is the answer of your question

9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​

Answers

10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​ · 9. 25 students each paid $6.50 to go to the museum ...

A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 centimeters.
What is the volume of the tube?

A
400pi cubic centimeters

B
800pi cubic centimeters
C
1, 600pi cubic centimeters

D
6, 400pi cubic centimeters

Answers

Answer:

Option C

Step-by-step explanation:

Radius = D/2

=> 8/2 => 4 cm

Volume = πr²h

=> π × (4)² × 100

=> 16π × 100

=> 1600π cm³

Ahem please some help please
[tex]4 \div 0.5[/tex]

Answers

So 4 divided by 0.5 equals 8
8 is the Anserw cuz you need to put 0.5 divided by 4

Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.

Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.

Answers

puzzle 1 and puzzle 3

solve pls brainliest

Answers

Answer:

Down below

Step-by-step explanation:

No

no,

yes

,I am not sure,

yes

integers are whole numbers

I am not sure of one of them sorry.

Which property is shown?
2.1= 2
identity property of multiplication
distributive property
commutative property of addition
associative property of multiplication

Answers

Answer:it’s distributive property

Step-by-step explanation:

Mark earns $165 every 12 hours. At this
rate, how much does he earn in 9 hours?

Answers

Answer:

123.75

Step-by-step explanation:

165/12= 13.75

$13.75 and hour

13.75x9=123.75

Answer:

$123.75

Step-by-step explanation:

165 / 12 = 13.75

13.75 x 9 = 123.75

Erin and Jamie are collecting shells while the tide is out Erin has 27 shells and she has 9 more shells than Jamie write an equation for this situation and find how many shells Jamie has collected

Answers

Answer:

27-9= 18

Step-by-step explanation:

Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.

If −9x+10y=−10 is a true equation, what would be the value of −5(−9x+10y)?

Answers

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

List the angles of A KLM with vertices
K(-2,-2), L(2, 6), M(7, -2) in order
from smallest to largest.

Answers

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<K

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=​

Answers

Answer:

6÷4(7+8) = 22,5

8-6(4+9)= 26

4÷8(9+3)= 6

Step-by-step explanation:

6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,5

8-6(4+9)= 8-6(13)= 2 × 13= 26

4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6

x= [ ? ]°
104°
1170
1249
100°

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

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

Sum of angles of a pentagon is ~ 540°

Therefore,

[tex] \sf104 + 117 + 100 + 124 + x = 540 [/tex]

[tex] \sf445 + x = 540[/tex]

[tex] \sf x = 540 - 445[/tex]

[tex] \sf x = 95 \degree[/tex]

Value of x = 95°

What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4 ​ ?

Answers

Answer:

y=-1/4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/4(x-(-8))

y-3=-1/4(x+8)

y=-1/4x-8/4+3

y=-1/4x-2+3

y=-1/4x+1

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