Jim wants to make 2.7 quarts of a 60% alcohol solution by mixing together a 80% alcohol solution and a 20% alcohol solution. How much of each solution must Jim use?

Answers

Answer 1

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz


Related Questions

Please help, this was due yesterday. Ill give brainliest :) the red numbers (in order from top to bottom, left to right) are 112, 116, 234, 166, 400.

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In ΔNOP, the measure of ∠P=90°, NP = 60, ON = 61, and PO = 11. What ratio represents the cosine of ∠N?

Answers

Answer:

60/61

Step-by-step explanation:

What is the value of the expression All of 2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2?

1.3 × 107
2.0 × 107
1.3 × 1011
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Answer:

I think the answer is D

Step-by-step explanation:

Answer:

The answer is A

I think

Step-by-step explanation:

Write the slope-intercept form of the line that passes through the given point with the slope m. Through (3, 5) , m = -3/8

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Answer:

I think this is my best solution for your question

Write the simplest polynomial function for each set of zeros

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PLEASE HELP

Answers

Answer:

x^3-12x^2+39x-28

Step-by-step explanation:

(x-4)(x-7)(x-1)

(x^2-4x-7x+28)(x-1)

(x^2-11x+28)(x-1)

x^3-11x^2+28x-x^2+11x-28

x^3-11x^2-x^2+28x+11x-28

x^3-12x^2+39x-28

Dino's Dinosaur rental has two packages for renting a dinosaur costume.
Package #1: $50 initially to reserve the costume and $10 per hour to use the costume
Package #2: $35 initially to reserve the costume and $15 per hour to use the costume

Answers

Answer:

90$ all together

Step-by-step explanation:

A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, the surveyor determined that school A is at (7, 12), and school B is at (–21, –13). The scale of the map is 1 unit = 100 meters.

Which vector represents the path from school A to school B, and what is the actual distance between them?


a) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 37.54 meters
b) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 3,754 meters
c) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 37.54 meters
d) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 3,754 meters

Answers

Answer:

C: <-28,-25>, etc.

Step-by-step explanation:

The vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.

What is Coordinate Geometry?

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.

As per the given data:

Coordinates of school A =  (7, 12)

Coordinates of school B = (-21, -13)

Scale of the map is 1 unit = 100 m

For vector representing the path A to B:

Final - Initial coordinates

= (-21 - 7, -13 - 12)

= (-28, -25)

Distance between A and B:

Distance formula = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

= [tex]\sqrt{(-21 - 7)^2 + (-13 - 12)^2}[/tex]

= 37.54 units {1 unit = 100 m}

= 3754 meters

Hence, the vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.

To learn more about Coordinate Geometry, click:

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Liz travels at a constant velocity of 65 miles per hour toward Tucson. Tucson is 275 miles away. How long will it take her to get there?

Answers

Answer:

4.23076923077

Step-by-step explanation:

if you need a remainer    please comment hope this helps also if you do put this in if you need a shorder anwser put 4.2307  

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Answers

Answer:

x=0.16

Step-by-step explanation:

Find the value of x so that the ratios 8:20 and 6:x are equivalent
x=

please help asap will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6:15 x = 15

Step-by-step explanation:

Simplify the ratio 8:20 by 4.

Get 2:5

SImplify 6:x by 3

GEt 2:x

To get them to be the same multiply 3 times 5. 5 from the ratio and 3 from what you divide.

Anwser 2.5=2.5

X=15

The value of x for the equivalent ratios 8/20 = 6/x is 15.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

8:20 is equivalent to 6:x

This means,

8/20 = 6/x

Solve for x.

8/20 = 6/x

x = (6 x 20)/8

x = 3 x 5

x = 15

Thus,

The value of x is 15.

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Answers

Answer:

Slope= [tex]rise/run[/tex]

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Step-by-step explanation:

(3,2)  (-2,3)

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                  [tex]3-2 / -2 -3[/tex]

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slope= - 1/5

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Answers

Answer:

65% so 975 people

Step-by-step explanation:

1500/100=15

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hope this helps homie :P

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Answers

Answer:

Olivia's puppy, it weighed 5 pounds.

Step-by-step explanation:

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Answers

Answer:

x=8°

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Step-by-step explanation:

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therefore 5x-y=11°

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equation 2......4x-y=3°

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Step-by-step explanation:

The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she
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Answers

Answer:

a). Nadia made a total of $825 last week in commission sales

b). The total amount Nadia in commission in 2011=$42,900

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Answers

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Answers

Answer:

Step-by-step explanation:

x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)

now, for m of WYL

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angle WOL = 180 - 132

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angle YOW = 132

Now, apply angle sum property for triangle YOW

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132 + 42 + WYO (or WYL) = 180

WYO (or WYL) = 6°

ask me in the comments if you have any doubts in this

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Answers

Answer:

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Step-by-step explanation:

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p and t


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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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beginning
b
transition
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middle
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Answers

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Which equation is a linear function?

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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On edge

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Answers

Answer:

Population 2010= 276

Step-by-step explanation:

Giving the following information:

Population 2000= 200

It increased by 20% from 2000 to 2005.

It then increased by 15% from 2005 to 2010.

First, we need to calculate the population in 2005:

Population 2005= 200*1.2

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Now, for 2010:

Population 2010= 240*1.15

Population 2010= 276

What did the pig say when the farmer pulled it by the tail

Answers

Answer:

Without me you will surely die. Too much of me and like a pig you may lie. What am I?

Step-by-step explanation:

Oink Oink That ain't my tail im a male

Which graph represents a linear function?
A coordinate plane is shown with a line passing through the y-axis at 7.5 and the x-axis at 12
A coordinate plane is shown with a line that starts to the left of the y-axis, passing through -1 comma 10, then curving right to pass through the y-axis 7, then curving down to pass through the x-axis at 2
A coordinate plane is shown with a parabola opening downward in an upside-down U shape. The base of the parabola sits at the origin and continues downward on both sides of the y-axis
A coordinate plane is shown. A wavy line begins along the x-axis and moves in intervals downward and back up, dipping down to y equals negative 1 and up to y equals 1.

Answers

Answer:

First Graph Description

Step-by-step explanation:

A linear function shows as a straight line.

The first graph description describes a straight line.

The second, third, and fourth graph description says that either the line is curved, or that it is a parabola. A parabola is not linear.

A coordinate plane is shown with a line that starts to the left of the y-axis, passing through -1 comma 10, then curving right to pass through the y-axis 7, then curving down to pass through the x-axis at 2

A coordinate plane is shown with a parabola opening downward in an upside-down U shape. The base of the parabola sits at the origin and continues downward on both sides of the y-axis

A coordinate plane is shown. A wavy line begins along the x-axis and moves in intervals downward and back up, dipping down to y equals negative 1 and up to y equals 1.

Hope this helps.

First graph description

Love your profile picture!!

Adalia ate lunch and wanted to leave her ​ waitress a 15% tip. Her meal cost $8.95. ​ How much money will the entire meal, ​ including the tip, cost? ​

Answers

Answer:

Total cost = $10.2925

Approximately $10.30

Step-by-step explanation:

Cost of meal = $8.95

Tip = 15% of $8.95

= 0.15 × 8.95

= $1.3425

How much money will the entire meal, ​ including the tip, cost?

Total cost of the meal = Cost of meal + amount of tip

= $8.95 + $1.3425

= 10.2925

Total cost = $10.2925

Approximately $10.30

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