All categories

3 years ago

a container holds 0.7 liters of oil and vinegar. 3/4 of the mixture is vinegar. how many liters of vinegar are in the container.

Mathematics

2 answers:

Vlad1618 [11]3 years ago

7 0

There are 0.525 liters of vinegar

Artist 52 [7]3 years ago

6 0

If 3/4 of the mixture is vinegar , then volume of vinegar is 0.525 liters.

<h3>Further explanation</h3>

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

<u>Given:</u>

<em>A container holds 0.7 liters of oil and vinegar</em>

$\texttt{Container Volume} = 0.7 ~ \texttt{liters}$

<em />

<em>3/4 of the mixture is vinegar</em>

$\texttt{Volume of Vinegar} = \frac{3}{4} \times \texttt{Container Volume}$

$\texttt{Volume of Vinegar} = \frac{3}{4} \times 0.7 ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \frac{3 \times 0.7}{4} ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \frac{2.1}{4} ~ \texttt{liters}$

$\texttt{Volume of Vinegar} = \boxed {0.525 ~ \texttt{liters}}$

<h2>Conclusion :</h2>

If 3/4 of the mixture is vinegar , then volume of vinegar is 0.525 liters.

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576
Student's Shirt : brainly.com/question/909783

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces

You might be interested in

Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S.

Pavel [41]

Answer:

a) 0.251

b) 0.483

c) 0.0994

Step-by-step explanation:

We are given the following information:

We treat adult adults trusting national newspapers to present the news fairly and accurately as a success.

P(Adult trust) = 60% = 0.6

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

a) exactly five

$P(x = 15) = \binom{9}{5}(0.6)^{5}(1-0.6)^{9-5} = 0.2508 \approx 0.251$

b) at least six

We have to evaluate

$P(x \geq 6) = P(x = 6) + P(x = 7) + P(x=8) + P(x=9) \\= \binom{9}{6}(0.6)^6(1-0.6)^3 + \binom{9}{7}(0.6)^7(1-0.6)^2 + \binom{9}{8}(0.6)^8(1-0.6)^1 +\binom{9}{9}(0.6)^9(1-0.6)^0\\= 0.482609 \approx 0.483$

c) less than four

We have to evaluate

$P(x < 4) = P(x = 0) + P(x = 1) + P(x=2) + P(x=3) \\= \binom{9}{0}(0.6)^0(1-0.6)^9 + \binom{9}{1}(0.6)^1(1-0.6)^8 + \binom{9}{2}(0.6)^2(1-0.6)^7 +\binom{9}{3}(0.6)^3(1-0.6)^6\\= 0.099352 \approx 0.0994$

3 0

3 years ago

The total output from a production system in one day is 900 units and the total labor necessary to produce the 900 units is 900

umka2103 [35]

Answer:

1.000

Step-by-step explanation:

Given that,

Total output from a production system in one day = 900 units

Total labor necessary to produce the 900 units = 900 hours

Productivity refers to the measure of efficiency of the inputs or labors for accomplishing a particular task. Productivity ratio is calculated by dividing the total output of a particular product to the total inputs employed in the production of that product.

Productivity ratio:

= Total output ÷ Total input

= 900 units ÷ 900 hours

= 1.000

6 0

3 years ago

What is the answer to 82.75 = -37

Tom [10]

<h3>Answer: Well the question is kind of confusing but here's how I see it</h3>

82.75

_______

45.7 <----- The answer