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


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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)

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Answers

Answer:

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

Step-by-step explanation:

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Answers

Answer:

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

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Step-by-step explanation:

(3,2)  (-2,3)

formula = [tex]y2-y1/ x2- x1[/tex]

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

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slope= - 1/5

Which graph represents a linear function?
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Answer:

First Graph Description

Step-by-step explanation:

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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.

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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!!

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Answers

Answer:

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Step-by-step explanation:

Giving the following information:

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Step-by-step explanation:

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equation 2......4x-y=3°

using elimination method x=8°

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Dino's Dinosaur rental has two packages for renting a dinosaur costume.
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Answer:

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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.

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

Answers

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

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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)

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For vector representing the path A to B:

Final - Initial coordinates

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

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= 37.54 units {1 unit = 100 m}

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

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Answer:

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Step-by-step explanation:

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

Answer:

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Answers

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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

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Answers

distributive property, since 3(2x) you distribute and get 6x

Does someone know this I really need help

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Answer:

65% so 975 people

Step-by-step explanation:

1500/100=15

15 times 65=975

hope this helps homie :P

2/3 ( 1/5x + 6y) + 2/5 ( 1/2x + 1/3y)

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Answer:

use phototmath I promise it will help u even if I dont give u the answer

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If you look it up, it will tell u the answer

Step-by-step explanation:

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Answer: C

Step-by-step explanation:

On edge


Identify a pair of perpendicular lines in the given figure.



Question 1 options:

p and t


q and t


s and t


p and q

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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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