1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
8

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

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:

A + B = 160

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

A + 0.12B = 0.23 * 160

A + 0.12B = 36.8

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:

-A -B = -160

-A -B = -160

               +

A + 0.12B = 36.8

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

-0.88B = -123.2

B = \frac{-123.2}{-0.88}

B = 140\ milliliters

We substitute the value of B into one of the two equations and solve for A.

A + 140 = 160

A = 20\ milliliters

You might be interested in
In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final
Mandarinka [93]
15 x .30 = 4.50 discount     15-4.50= 10.50
10.50 x .40 = 4.20

Final cost of shirt  10.50-4.20 =  $6.30
5 0
3 years ago
WHICH IS A TRUE STATEMENT BASED ON THE DOT PLOTS BELOW 10 POINTS
Nata [24]

Answer:

C. Set B has the greater range.

Step-by-step explanation:

We can start out with listing out each set of data in a way that makes it easier to work with.

Set A:

20,20,30,30,40,40,40,40,40,50,50,60,60,60

Set B:

10,10,20,20,20,30,30,30,30,40,50,50,60

We can start by trying to eliminate answer options; starting with D.

To get the mean of a set of data, we need to add all numbers in the data set and then divide by the number of dots on the plot.

For Set B: 10+10+20+20+20+20+30+30+30+30+40+50+50+60=420 then divide by number of dots (14) 420/14=30 The mean of Set B is equal to 30.

Solve the mean for Set A to compare. The mean is 41. D is not true so we can eliminate this answer choice.

We can look at the median of both sets so that we can eliminate answer choice B. The median is the middle most point in the set of data.

Set A median: 40

Set B median: 30

We can eliminate B because it does not have the greater median.

On to option C: range.

To find the range of each data set, we subtract the smallest number from the biggest number.

Set A: 60-20=40

Set B: 60-10= 50

Set B does in fact have a greater range than Set A. Answer choice C is the correct option.

6 0
3 years ago
10 increased by the quotient of a number and 6 is 15
Makovka662 [10]
<h2>Verbal Phrase to Mathematical Phrase</h2><h3>Answer:</h3>

10 +\frac{n}{6} = 15\\

<h3>Step-by-step explanation:</h3>

Let that number be n.

The quotient of a number and 6 is \frac{n}{6}\\.

"Increased" is just another term for "plus (+)" so 10 increased by The quotient of a number and 6 is 10 + \frac{n}{6}\\

And it tells us that it is 15 so it must be 10 +\frac{n}{6} = 15\\

3 0
2 years ago
HHEEEEEEELPPPPP, I'LL MARK THE BRAINLIEST
navik [9.2K]

Answer: 6 square 4

Step-by-step explanation:

i hope this helps

7 0
3 years ago
Read 2 more answers
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Iteru [2.4K]
L’ (4.5,0) J’(-4.5, -4.5) K’(-4.5,4.5) i think
5 0
2 years ago
Read 2 more answers
Other questions:
  • If the scale factor of a scale drawing is greater than one, is the scale drawing larger than the actual object?
    7·1 answer
  • The upper limit for the function f(x) = x3 - 3x 2 - 2x + 15 is
    13·1 answer
  • Write an algebraic expression that is the quotient of a variable term and a constant.
    11·1 answer
  • ASAP Please! Which of the following are right triangle congruence theorems?
    14·2 answers
  • While working for Life magazine, Archie is assigned to the Galapagos Islands to photograph a rare, giant white turtle. The turtl
    12·1 answer
  • There are several characteristics of a parallelogram that can prove a quadrilateral is a parallelogram. Which characteristic wou
    9·2 answers
  • What is the solution set for the quadratic inequality x2 – 5 ≤ 0?
    12·1 answer
  • A pair of parallel lines cut by transversal‘s what is the measure of angle X
    6·1 answer
  • How many solutions -(3 - 6b) = 6b + 5<br><br><br><br><br>​
    12·1 answer
  • Felicity has two $10 and a $5 bill. She spends
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!