Arrange the following from least to greatest 0.08,0.1, 1.8, 0.049, 0.103

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

kobusy [5.1K]

So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.

the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.

$\bf \begin{array}{lccclll}
&\stackrel{mL}{amount}&\stackrel{\%}{concentration}&\stackrel{amount}{concentration}\\
&------&------&------\\
\textit{first brand}&x&0.09&0.09x\\
\textit{second brand}&y&0.14&0.14y\\
------&------&------&------\\
mixture&230&0.13&29.9
\end{array}$

so, whatever "x" and "y" are, we know that x + y = 230.

and we also know that their concentration amounts will also add up, 0.09x + 0.14y = 29.9.

$\bf \begin{cases}
x+y=230\implies \boxed{y}=230-x\\
0.09x+0.14y=29.9\\
----------\\
0.09x+0.14\left(\boxed{230-x} \right)=29.9
\end{cases}
\\\\\\
0.09x+32.2-0.14x=29.9\implies -0.05x=-2.3\implies x=\cfrac{-2.3}{-0.05}
\\\\\\
x=46$

how many milliliters will it be for the second brand? well, y = 230 - x.

3 0

3 years ago

Options are 70 75 85 or 100

lyudmila [28]

Check the picture below

3 0

2 years ago

15 point help asap marking brainlest!!!!!!!!!!!!!!

ziro4ka [17]

slope =(y2-y1)/(x2-x1)

m=(-1-5)/(1--1)

m=-6/2

m=-3

y-y1=m(x-x1) point slope form

y-5 = -3 (x--1)

y-5 = -3 (x+1)

distribute

y-5 = -3x -3

add 5 to each side

y = -3x+2

Choice D

4 0

3 years ago

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A large appliance such as a water heater is only running when it has clicked on and is actually heating water. The time your wat

mafiozo [28]

a) Total cost (per day) ≈ $1.40

b) Total cost (per year) ≈ $510

c) New annual cost = $327

d) The number of years that the water heater pays for itself is; approximately 4 years

<h3>How to calculate Energy Bill?</h3>

Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

Cost per unit = $0.11 per kilowatt-hour

Savings rate = 36%

Cost water heater = $1,100

a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

= 4,200 watts per hour × 3 hours

= 12,600 watt-hours

= 12.6 kilowatt-hours

The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

Total cost (per day) = 12.6 kilowatt-hours × $0.11 per kilowatt-hour

Total cost (per day) = $1.386

Total cost (per day) ≈ $1.40

b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

Total cost (per year) = $511

Total cost (per year) ≈ $510

c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

Thus;

New annual cost = $510 - $183 = $327

d) The number of years that the water heater pays for itself is;

1100/327 = 3.36 or approximately 4 years

Read more about Energy Costs at; brainly.com/question/14277272

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6 0

1 year ago

What is the slope of the line? <br>y = -2/7x<br><br>A. -2<br>B. -2/7<br>C. 0<br>D. 2/7

denis-greek [22]

The slope of the line is -2/7

3 0

2 years ago

Read 2 more answers