A chemist has 20 gallons of solution with 12% saline. How much pure saline (100% saline) needs to be added to the 20 gallons to create a mixture with 15% saline content? Round your answer to the nearest tenth (if you answer this please let me know how you got the answer, thank you!)

Answer:

it's the second one! 11√3 - 7√6

Answer:

B.

Step-by-step explanation: You have to simplify the radical expressions [tex]\sqrt{48}[/tex] simplified is [tex]4\sqrt{3}[/tex] and [tex]\sqrt{58}[/tex] simplified is [tex]3\sqrt{6}[/tex].

Next, collect the like terms [tex]7\sqrt{3} + 4\sqrt{3} = 11\sqrt{3}[/tex] then [tex]4\sqrt{6}- 7\sqrt{6} = 7\sqrt{6}[/tex]

Then you'll put it all together which will give you an answer of  [tex]11\sqrt{3} - 7\sqrt{6}[/tex]

Answer:

5/7

Step-by-step explanation:

hope this helps

Answer:

All the student are members of the planetarium's frequent visitor program.

Step-by-step explanation:

Let x represent the number of student who are members of the planetarium's frequent visitor program.

And let y represent the who are not a member.

Then two equations can be formed using the provided data:

x + y = 19...(i)

11x + 13y = 209...(ii)

Multiply (i) by 13 and solve for x as follows:

13x + 13y = 247

-11x  - 13y = -209

2x = 38

x = 19

Substitute x = 19 in (i) and solve for y as follows:

x + y = 19

19 + y = 19

y = 0

Thus, all the student are members of the planetarium's frequent visitor program.

Answer:

1wesegserghfyheyeryeryeryreyeryryryyryryeryryeryeryreyeyeryerfwetetu trash

Answer: 16.6m

Step-by-step explanation:

Area - Length x Width

365.2/22

16.6m

Answer:

[tex]x = \frac{-15}{2}[/tex]

Step-by-step explanation:

to answer these types of questions, we want to isolate the variable to one side of the equation

[tex]4x + 9 = 2x - 6\\4x - 2x = -6 - 9\\2x = -15\\x = \frac{-15}{2}[/tex]

Answer:

x = -7.5 :)

Step-by-step explanation:

4x + 9 = 2x - 6

-2x         -2x

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

  2x + 9 =  -6

        -9      -9

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

     2x = -15

     ---     ----

     2       2

x = -7.5  

The correct function is  H, f(x) = x-2

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

Given is a graph,

Slope is rise over run, so it’s 1 up and 1 to the right.

It means that the slope is 1.

We know that, the general form of the linear equation y = mx+b where slope is m.

Here, So m is 1.

So we have y=x+b.

To find b plug in the point (0,-2) x=0 and y=-2

Thus, we get, b=-2

Therefore, the linear equation is y=x-2

Hence, the correct function is  H, f(x) = x-2

For more references on functions, click;

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Answer:

The area covered by the wiper blade is 35 square inches

Step-by-step explanation:

Here, we want to calculate the area covered by the blade of the wiper

Mathematically, this is simply the area of the sector formed by the wiper on the screen

This can be calculated as follows;

theta/360 * pi * r^2

From the question theta = 50 degrees

r = the length of the wiper = 9 inches

So the area is;

50/360 * 22/7 * 9^2 = 35.35714285714286

This is closest to 35 square inches

Answer:

1900

Step-by-step explanation:

100-16=84

12400×16/100=1984

1984-84=1900

=1900

Answer:

Y= x^2 + 5x - 22

Step-by-step explanation:

Slope intercept form= y=Mx+b

Answer:

Both angles: one = 25 degrees, the other equals 60 degrees

Step-by-step explanation:

Do 95 + 5x + 12x = 180.

x = the angle.

95 + 17x = 180.

minus 95

17x = 85

divide by 17.

x= 5

then do 5(5) and 5(12) to get your two angles.

Answer:

25 and 60

Step-by-step explanation:

One angle of a triangle measured 95

the other two angles are in a ratio of 5:12, what are the measures of those two angles?

So 95 + 5x + 12x = 180

(Combine like terms)

95 + 17x = 180

(Subtract 95 from both sides)

17x = 85

(Divide 17 from both sides)

x = 5

Now plug 5 into 5 and 12

5x = 25

12x = 60

60 + 25 + 95 = 180 :)

Lia Edwards

Answer:

he should use the 5/8 inch wide plank

Step-by-step explanation:

9/16 = 4.5/8 which is smaller than 5/8

The answer will be prime

Answer:

x=31/14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−4x+1=−9x−16+9x+16

−4x+1=−9x+−16+9x+16

−4x+1=(−9x+9x)+(−16+16)(Combine Like Terms)

−4x+1=0

−4x+1=0

Step 2: Subtract 1 from both sides.

−4x+1−1=0−1

−4x=−1

Step 3: Divide both sides by -4.

−4x−4=−1/-4

x=1/4

Answer:

13cm

Step-by-step explanation:

The formula for diagonal is [ d = √h²+l² ] where h = height and l = length.

Solve with what we are given.

d = √5²+12²

d = √25+144

d = √169

d = 13

Best of Luck!

Answer:

Are there answer choices? But when looking at it one side should just be a little bit more than double the length of one side.

Step-by-step explanation:

This is because 20 is less than half of 50

Answer:

The answer is [tex]-\frac{1}{15}[/tex]

Step-by-step explanation:

I used my calculator and inputted everything.

Answer:

2(c+5)=3

Step-by-step explanation:

It is 2 times the quantity c+5, and it all equals 3

The equation of Two times the sum of a number and 5 equals 3 will be; 2(c+5)=3

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

WE have been given the statement as;  Two times the sum of a number and 5 equals 3.

We are asked to find the equation of the given statement.

Here 2 times the quantity c+5, and it all equals 3

Therefore, the equation will be;

2(c+5) = 3

Learn more about solving equations here:

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Answer:

E Hope this helps!

Step-by-step explanation:

Happy Halloween!

Answer:

#1. yellow

#2. black

#3. blue

Hope that helps!!! Please give me the brainliest!! ;( )

Answer:

Step-by-step explanation:

Given the equation of the weight of an empty shipping box expressed as:

100t + 300 = w

We are to select all possible solutions for (t,w) to the equation 100t + 300 =w. From the equation the input variable is t which serves as the DOMAIN while the output variable is w which serves as the RANGE. To get the possible of t, we will need to find the values of t that will make the function to exist. Since the number of t shirts are always positive, this means that the value of t exists on all positive real numbers. Hence the Domain is expressed as:

Domain: [0, ∞)

Since the weight w must also be positive, the lowest value of w we can get it at when t = 0. Substitute into the equation:

100t + 300 =w

100(0) + 300 = w

300 = w

w = 300

Hence the minimum output (weight) that we can have is 300, the Range of the expression will be expressed as:

Range: [300, ∞)

Answer:

288: least common multiple

Step-by-step explanation:

Answer:

The LCM of 96 and 72 is 1,656

Step-by-step explanation:

Answer:

The approximate volume of dirt in the hill = 70372 ft³

Step-by-step explanation:

From the given information:

Laura uses a model of a truncated cone to estimate the volume of the dirt.

This implies that the volume of the dirt in the large hill took the shape of a truncated cone.

Her estimate then includes:

a base diameter = 80 feet ; then the base raidus (R) = 80 feet/2 = 40 feet

a top diameter  = 40 feet ; then the top radius (r) =  40 feet/2 = 20 feet

a helght = 24 feet.

Using the formula for the volume of a truncated cone :

[tex]V =\dfrac{1}{3} \times \pi \times h \times ( r^2 +r \times R+ R^2)[/tex]

[tex]V =\dfrac{1}{3} \times \pi \times 24 \times ( 20^2 +20 \times 40+ 40^2)[/tex]

[tex]V =25.133 \times ( 400 +20 \times 40+ 1600)[/tex]

V = 70371.675 ft³

V ≅ 70372 ft³

Answer:

70,336

Step-by-step explanation:

Answer:

B. perpendicular to a line at a point on the line

Step-by-step explanation:

that's how you would construct a perpendicular line to the point that is on the line

Answer:

O angle A, angle B, angle C

Answer:

Domain: X coordinates

Range: Y coordinates

Step-by-step explanation:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values). Range: all y-values that are used (dependent values).

Answer:

the answer is c

Step-by-step explanation:

i just finished the quiz

He did not eliminate the same variables in steps 1 and 2