Solve the given equations. Place the name of each equation in order by the least number of solutions to the greatest number of solutions.

Solve The Given Equations. Place The Name Of Each Equation In Order By The Least Number Of Solutions

Answers

Answer 1

The order of the equations from least number of solutions to greatest number of solutions is: C, B , and A.

What is equation and expression?

In algebra, an expression is made up of several numbers, variables, and mathematical operations including addition, subtraction, multiplication, and division. One expression is, for instance, 3x + 2y - 5.

In algebra, an equation is a claim that two expressions are equal to one another. Often, it asks us to determine the value of a variable that would make the equation true.

Equation A:

4x + 12 = 2(2x + 3) + 6

4x + 12 = 4x + 12

This equation has infinitely many solutions, as 0 = 0 is always true.

Equation B:

5(x - 1) = 3(x + 7)

5x - 5 = 3x + 21

2x = 26

x = 13

This equation has one solution, which is x = 13.

Equation C:

2x - 4 = 2(x + 18)

2x - 4 = 2x + 36

-4 = 36

This equation has no solutions.

Hence, the order of the equations from least number of solutions to greatest number of solutions is: C, B , and A.

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Related Questions

HELP ASAP!!!
(Appropriate Measures MC)

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

The IQR of 10 is the most accurate to use, since the data is skewed.
The range of 10 is the most accurate to use, since the data is skewed.
The IQR of 45 is the most accurate to use to show that they need more money.
The range of 45 is the most accurate to use to show that they have plenty of money.

Answers

A measure of variability which the charity should use to accurately represent the data include the following: D. The range of 45 is the most accurate to use to show that they have plenty of money.

What is a box-and-whisker plot?

In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set, the five-number summary for the given data set include the following:

Minimum (Min) = 10.

First quartile (Q₁) = 13.75.

Median (Med) = 20.

Third quartile (Q₃) = 26.25.

Maximum (Max) = 55.

For the IQR, we have:

IQR = Third quartile (Q₃) - First quartile (Q₁)

IQR = 26.25 - 13.75

IQR = 12.50

For the range, we have;

Range = maximum - minimum

Range = 55 - 10

Range = 45.

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Can someone help me please

Answers

The resulting matrix will be in the form :

5 9 -4

0 -14 15

What is a matrix in mathematics ?

A matrix is described as  a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

To get a 1 in row 1, column 1, we perform the following elementary row operation:

R2 - 2R1 -> R2

This will subtract 2 times the first row from the second row and give us the result:

5 9 -4

0 -14 15

Matrices are useful for describing systems of linear or differential equations, as well as representing a linear application.

In conclusion,  in  a matrix function, the input and the output values are matrices.

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wing Lines Parallel
Solve for x to make A||B.
B
3x
A
X = = [?]
7x
Enter

Answers

If line A is parallel to line B then the value of x is 18.

Given that a line A is parallel to line B

We have to find the value of x

3x+7x=180

Combine the like terms

10x=180

Divide both sides by 10

value x=18

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Enter the endpoints as ordered pairs (x, y).
Provide your answer below:
The endpoints of the latus rectum are and
(y + 3)² = (x - 2)

Answers

The endpoints of the latus rectum of the parabola are (3, -2) and (3, -4)

Given data ,

Let the equation of the parabola be (y + 3)² = (x - 2)

Now , y² + 6y + 9 = x - 2

y² + 6y = x - 11

Now we can see that the vertex of the parabola is (2, -3), and the axis of symmetry is parallel to the y-axis. This means that the focus and directrix will also be parallel to the y-axis.

x = h - p

where (h, k) is the vertex and "p" is the distance between the vertex and the focus. In this case, (h, k) = (2, -3) and p = 1, so

x = 2 - 1

x = 1

Therefore, the equation of the directrix is x = 1

And , the axis of symmetry of the parabola is parallel to the y-axis, the latus rectum will be parallel to the directrix, and its endpoints will be equidistant from the focus and the directrix

The distance between the focus and the directrix is 1 unit, so the distance between the endpoints of the latus rectum will also be 1 unit

Therefore, the endpoints of the latus rectum will be at the points where the perpendiculars drawn from the focus to the directrix intersect the parabola

To find the points of intersection between this line and the parabola, we can substitute x = 3 into the equation of the parabola and solve for y

(y + 3)² = (x - 2)

(y + 3)² = (3 - 2)

(y + 3)² = 1

y + 3 = ±1

y = -2 or y = -4

Hence , the points of intersection between the perpendicular and the parabola are (3, -2) and (3, -4)

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Find the value of x.

Answers

The value of x in the circle is 4.2

Calculating the value of x in the circle

From the question, we have the following parameters that can be used in our computation:

The circle

Using the intersecting chords equation, we have

(5x - 8) * 4 = (x + 1) * 10

When solved for x, we have

x = 4.2

Hence. the value of x is 4.2

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Find m/_U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Answers

The measure of angle U = 41.83 degree.

In the given right angle triangle

VW = 6

UV = 9

Since sinΘ  = (opposite side)/(hypotenuse)

Therefore,

sin U = VW/UV

        = 6/9

        = 0.667

Take inverse of sin both sides

     ∠U =  arcsin(0.667)

            = 41.83

Hence  ∠U = 41.83 degree

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100 Points! Algebra question. Please show as much work as possible. Photo attached. Thank you!

Answers

The value of the constant term k in the exponential model of the bacteria population is k ≈ 0.0972

What is an exponential function?

An exponential function is one in which the input variable is part of the exponent of the expression for the function.

The function for the population of the bacteria indicates;

[tex]P(t) = \frac{22,000 }{1 + 1.2\cdot e^{(-k\cdot t)}}[/tex]

The population of the bacteria after t = 1 hour is P(1) = 10,532

Therefore;

[tex]P(1) = \frac{22,000 }{1 + 1.2\cdot e^{(-k\times 1)}} = 10,532[/tex]

[tex]1 + 1.2\cdot e^{(-k\times 1)} = \frac{22,000}{10,532}[/tex]

[tex]1.2\cdot e^{(-k\times 1)} = \frac{22,000}{10,532} - 1[/tex]

[tex]e^{(-k\times 1)} = \frac{\frac{22,000}{10,532} - 1}{1.2}[/tex]

Taking the natural logarithm of both sides, we get;

[tex]\ln (e^{(-k\times 1)}) = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})[/tex]

[tex]\ln (e^{(-k)}) = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})[/tex]

[tex]\ln (e^{(-k)}) = -k = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})[/tex] ≈ -0.0972 (rounded to 4 decimal places)

-k ≈ -0.0972

k ≈ 0.0972

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Justin mowed 45% of her garden in 18 minutes.how many minutes will it take him to mow all of his garden at this rate? Explain

Answers

If Justin mowed 45% of her garden in 18 minutes, then we can set up a proportion to find how long it would take him to mow 100% of the garden:

45/100 = 18/x

where "x" is the unknown number of minutes it would take to mow 100% of the garden.

To solve for "x," we can use cross-multiplication:

45x = 100 * 18

Simplifying the right-hand side:

45x = 1800

Dividing both sides by 45:

x = 40

Therefore, it would take Justin 40 minutes to mow all of his garden at the same rate of 45% in 18 minutes.

To explain this, we used the fact that the amount of work done (mowing a certain percentage of the garden) is directly proportional to the time it takes to do that work. This means that if Justin mowed 45% of the garden in 18 minutes, he would take proportionally longer to mow the entire garden. The proportion we set up allows us to find the unknown amount of time it would take to mow the entire garden. Solving the proportion, we found that it would take Justin 40 minutes to mow all of his garden at the same rate he mowed the 45%.

use synthetic division
PLEASE HELP!!

Answers

The quotient using a synthetic method of division is 8x² + 15x + 7/8 and the remainder is 71/64

How to evaluate the quotient using a synthetic method

The quotient expression is given as

(8x³ + 14x² - 2x + 1) divided by x - 1/8

Using a synthetic method of quotient, we have the following set up

1/8 |   8    14   -2   1

    |__________

Bring down the first coefficient, which is 8:

1/8 |   8    14   -2   1

    |__________

       8

Multiply 8 by 1/8 to get 1, and write it below the next coefficient and repeat the process

1/8 |   8    14   -2      1

    |_____1_15/8__7/64_

       8      15     7/8      71/64

So, the quotient is 8x² + 15x + 7/8 and the remainder is 71/64

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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:

A. x² + (y - 3)² = 36.

D. x² + (y + 8)² = 36.

What is the equation of a circle?

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

Note: A center that lies on the y-axis simply means the value of h on the x-axis is equal to 0.

Based on the information provided above, we have the following parameters:

Radius, r = diameter/2 = 12/2 = 6 units.

Center, (h, k) = (0, 3).

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 3)² = 6²

x² + (y - 3)² = 36.

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Which statement concerning the equation x² - 1 = x is true?

1. Its discriminant is 0, so it has no solution.

2. Its discriminant is 5, so it has two real solutions.

3. Its discriminant is 0, so it has one real solution.

4. Its discriminant is -3, so it has two complex solutions.

Answers

The statement "Its discriminant is 5, so it has two real solutions" is not true for the equation x² - 1 = x.

The discriminant of a quadratic equation of the form ax² + bx + c = 0 is given by the expression b² - 4ac. In this case, the equation can be rewritten as x² - x - 1 = 0, so a = 1, b = -1, and c = -1. Therefore, the discriminant is (-1)² - 4(1)(-1) = 5.

Since the discriminant is positive, the equation has two real solutions. However, this statement does not apply to the given equation because it is not in standard quadratic form.

To solve the equation x² - 1 = x, we can rearrange it as x² - x - 1 = 0 and then use the quadratic formula to find its solutions. The quadratic formula is x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values a = 1, b = -1, and c = -1, we get x = (1 ± sqrt(5)) / 2. Therefore, the equation has two real solutions, which are x = (1 + sqrt(5)) / 2 and x = (1 - sqrt(5)) / 2.

Answer:

The equation x² - 1 = x can be rewritten as x² - x - 1 = 0. We can use the quadratic formula to find the solutions:

x = (-b ± sqrt(b² - 4ac)) / 2a

In this case, a = 1, b = -1, and c = -1. So:

x = (1 ± sqrt(1 - 4(1)(-1))) / 2(1)

x = (1 ± sqrt(5)) / 2

Therefore, the equation has two real solutions, and the discriminant is positive. The answer is 2. Its discriminant is 5, so it has two real solutions.

Question is done below. Just multiple sqrts inside of each other.

Answers

The solution to the prompt of multiple square roots is 5.

How to solve for the sum of the multiple square roots

To obtain the sum of the multiple square roots, we need to first find the square of 30, sum it up in four places and find the square root of the last figure we obtained.

So this gives

√30 =5.47

5.47 + 5.47 + 5.47 + 5.47

= 21.88

=4.67 approximately 5

So. option 5 is the solution.

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the cost of a luna bar is 2 dollars at harmons. what is the cost of 30 luna bars

Answers

Answer:

60

Step-by-step explanation:

2$ times 30 luna bars at harmons is $60

john want to buy a new bike that costs 337and he already has save 103 estimates to find about how much more john needs to save to buy the bike

Answers

To find the estimated amount John needs to save to buy the bike, we can subtract the amount he already has saved from the cost of the bike:

Estimated amount = Cost of bike - Amount already saved

Estimated amount = $337 - $103

Estimated amount = $234

Therefore, John needs to save an estimated $234 more to buy the bike.

Answer:

John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.

Step-by-step explanation:

To find out how much more John needs to save to buy the bike, we can subtract the amount he has already saved from the cost of the bike:

337 - 103 = 234

Therefore, John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.

The height y(in feet) of a ball thrown by a child isy=−114x2+2x+3

where x is the horizontal distance in feet from the point at which the ball is thrown.

(a) How high is the ball when it leaves the child's hand? (Hint: Find y
when x=0)
Your answer is y=____

(b) What is the maximum height of the ball? _____


(c) How far from the child does the ball strike the ground?_____

Answers

(a) When the ball is thrown, x = 0. Therefore, we can find the height of the ball when it leaves the child's hand by substituting x = 0 into the equation:

y = -114(0)^2 + 2(0) + 3
y = 3

So the ball is 3 feet high when it leaves the child's hand.

(b) The maximum height of the ball occurs at the vertex of the parabola. We can find the x-coordinate of the vertex using the formula:

x = -b/2a

where a = -114 and b = 2. Substituting these values, we get:

x = -2/(2*(-114)) = 0.0088

We can find the maximum height by substituting this value of x into the equation:

y = -114(0.0088)^2 + 2(0.0088) + 3
y ≈ 3.036

So the maximum height of the ball is approximately 3.036 feet.

(c) To find how far from the child the ball strikes the ground, we need to find the value of x when y = 0. We can solve the equation for x:

-114x^2 + 2x + 3 = 0

Using the quadratic formula, we get:

x = (-2 ± sqrt(2^2 - 4*(-114)*3))/(2*(-114))
x = (-2 ± sqrt(9252))/(-228)

We can ignore the negative root since the ball is moving in the positive x-direction. Simplifying the expression for the positive root, we get:

x = (-2 + sqrt(9252))/(-228) ≈ 0.232

So the ball strikes the ground approximately 0.232 feet away from the child.

20x^2-7x-6=0 by factoring

Answers

Answer:

x = -2/5

x = 3/4

Step-by-step explanation:

Factoring:

20x²-7x-6=0

20x²+8x - 15x - 6 = 0

4x * (5x + 2) - 3 * (5x + 2) = 0

(5x + 2) * (4x - 3) = 0


Cases:

5x + 2 = 0

4x - 3 = 0

x = -2/5

x = 3/4

Answer:

20x^2 -x(15-8)-6=0 here 6×20=120an by subtracting 15-8 we got seven where the 15×8 is also 120

Step-by-step explanation:

now,

20x^2 -15x+8x -6 =0 (here -×-is equal to +thus we write +8)

5x(4x-3) +2(4x-3)=0

(5x+2) (4x-3)=0

Either 5x=-2

X=-2/5

Or

4x=3

X=3/4

It’s due tomorrow I really need help

Answers

Answer:

B.

Step-by-step explanation:

As the steps imply,

Step 1 is to first convert the 3.5% (0.035) and then multiply it by 16 to find out by how many grams the amount should decrease (0.035 * 16 = 0.56).  Step 2 is to subtract this amount from 16 to find the amount remaining after one hour (16 - 0.56 = 15.44).  Step 3 is to convert 4.25% to a decimal (0.0425) and multiply it by the amount remaining at the end of one hour to find out by how many grams this amount should decrease after two hours (0.0425 * 15.44 = 0.6562)Step 4 finally is to subtract this amount from 15.44 to find the amount remaining after two hours (15.44 - 0.6562 = 14.7838)

a) Close the following accounts. 9

K. Emmanuel

$

2020

$

640

360

2020

800

Feb. 10 Bank Cash

25

200

Feb. 1 15

Sales Sales

J. Amaze

$

$

2020

2020

260 1090

1350

Mar. 12

Returns inwards

Mar4

Sales

18

Bank

Z. Ventour

2020

$

2020

$

May 13

Cash

518

May 10

Purchases

518

FSampath

2020

$

2020

July 14 22

Returns outwards

Bank

$

220

July 3

Purchases Purchases

8

25

Bank

800

1500

830

350

Answers

Answer:

I dont know the answer I dont know  what it is I just needed points bye

Step-by-step explanation:

Please see the attached

Answers

the answer is feet ......

18. The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?

Answers

Answer:

64.14

Step-by-step explanation:

Reading the passage I see that you have to multiply then divide

The surface area of the larger solid is,  171.7 mm²

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The volumes of two similar solids are 857.5 mm³ and 540 mm³.

And, The surface area of the smaller solid is 108 mm².l

Now, Let us assume that;

The surface area of the larger solid is, x

Hence, We get;

857.5 / x = 540 / 108

Solve for x as;

857.5 x 108 = 540 x

92,718 = 540x

x = 171.7 mm²

Thus, The surface area of the larger solid is,  171.7 mm²

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Jim bought a pair of shoes for $50 and laces for $1. If the sales tax is 7%, how much tax must he pay?
(a) $3.57
(c) $0.36
(b) $350
(d) $35.70​

Answers

Jim must pay tax  $3.57.

The correct answer is (a) $3.57.

To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.

The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.

To calculate the sales tax, we multiply the total cost by the tax rate:

Sales tax = 7% of $51

[tex]= 0.07 \times $51[/tex]

= $3.57.

Therefore, Jim must pay $3.57 in sales tax.

The correct answer is (a) $3.57.

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Write the equation of a line parallel to 2y = x – 3 and that passes through point (-4,3) in slope intercept form.

Answers

Answer:

The equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.

Step-by-step explanation:

To find the equation of a line that is parallel to 2y = x – 3, we need to determine the slope of the given line.

2y = x - 3 can be written in slope-intercept form y = (1/2)x - 3/2.

The slope of this line is 1/2.

Since we want a line parallel to this line, the slope of the new line will also be 1/2.

Next, we can use the point-slope form of a line to write the equation of the new line.

Point-slope form: y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values, we get:

y - 3 = (1/2)(x - (-4))

Simplifying, we get:

y - 3 = (1/2)x + 2

Adding 3 to both sides, we get the final equation in slope-intercept form:

y = (1/2)x + 5

Therefore, the equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.

if my circular garden requires 2 cups of water per 10 square feet, how many cups of water do i need when the radius is 3 feet​

Answers

6 cups of water, since the area is 3.14r^2 which is 28.26 feet. And then 2 cups per each 10 feet so 4 and then if we round for the remaining 8.26 feet, 6 cups total.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Using the sine ratio, the value of x in the right triangle shown is calculated to the nearest tenth as: 2.6  units.

How to Find the Value of x Using the Sine Ratio?

The sine ratio is part of the trigonometry ratios that can be applied to solve a right triangle, and it is written as:

sin ∅ = length of the opposite side / length of the hypotenuse of the right triangle

We are given the following information from the image above:

Reference angle (∅) = 75 degrees

length of the opposite side = x

length of the hypotenuse = 9

Plug in the values:

sin 75 = x/9

9 * sin 75 = x

x = 8.7 [to the nearest tenth]

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which fraction is greater than the fraction by the model if the fraction is 3/8

Answers

The calculated value of the fraction that is greater than the fraction by the model is 1/2

Which fraction is greater than the fraction by the model

From the question, we have the following parameters that can be used in our computation:

Model fraction = 3/8

A fraction that is greater than the fraction by the model is represented as

Fraction > Model fraction

Substitute the known values in the above equation, so, we have the following representation

Fraction > 3/8

Add 1 to the numerator

So, we have

Fraction = 4/8

Simplify

Fraction = 1/2

Hence, the fraction that is greater than the fraction by the model is 1/2

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HELP ME PLEASEEEE The matrix below represents a system of equations.

Which matrix represents the solution to this system of equations?

Answers

The matrix  that represents the solution to this system of equations is

1   0  0     2

0   1   0    -4

0   0   1      3

Therefore option B is correct.

What is a matrix in mathematics?

A matrix is described as a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

We solve a matrix by Arranging  the elements of equations in matrices and find the coefficient matrix, variable matrix, and constant matrix.

We then go ahead to write the equations in AX = B form.

we then take the inverse of A by finding the adjoint and determinant of A. Multiply the inverse of A to matrix B, thereby finding the value of variable matrix X.

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Please help !!!!!!!!!

Answers

What is the question?

In a coordinate plane, what is the distance between the points (6,−10)
and (6,−7)
?

Answers

The distance between the points (6,−10) and (6,−7) is 3 units

What is the distance between the points (6,−10) and (6,−7)?

From the question, we have the following parameters that can be used in our computation:

Points (6,−10) and (6,−7)

Because the points have the same x coordinate, the distance between the points (6,−10) and (6,−7) is the difference between the y coordinates

Using the above as a guide, we have the following:

Distance = -7 - -10

Evaluate

Distance = 3

Hence, the distance between the points (6,−10) and (6,−7) is 3 units

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36 is 15% of what number

Answers

240 is the answer. Can I get brainliest?

A solution has a total mass of 400 g. If the solvent has a mass of 236 g of the total mass, what is the strength of the drug?

Answers

In a case whereby A solution has a total mass of 400 g. If the solvent has a mass of 236 g of the total mass, the strength of the drug  can be expressed as 41%.

How can the strength of the drug be calculated?

From the question, the total mass =400 g

The solvent mass = 236 g

Then the mass of the drug = 400-236

= 164

Then the mass percentage of the drug can be calculated as 164/400 * 100

= 41%

Therefore, the strenght of the drug can be expressed as  41%

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