In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?.

Answers

Answer 1
First, let’s convert the ratio to a fraction. Because a ratio is the comparison of two parts and a fraction is a ratio of parts to whole, we can add the ratio together to get the total passing and failing grades.

7:5 ——> 7+5=12

Since 5 represents the number of failing grades, 5/12 grades are failing grades.

Now, we need to find the number of failing students given a total of 36 students. We can create a proportion and use “x” for the number of failing students.


5/12=x/36

Cross multiply to solve for x:

5•36=12•x

Simplify:

180=12x

Divide both sides by 12 to isolate x:

180/12=x

15=x

Apply the symmetric property:

x=15

This means that 15 students are failing the class. Let’s make sure these two fractions are indeed equivalent by plugging x=-5 back into the equation:

5/12=15/36

.416=.416

Because the quotients are equal, the fractions are proportional.

So, your answer is 15/36 students are failing

Related Questions

How do you find the discontinuity point of a function?

Answers

discontinuity point of a function is a point at which the function is not continuous. There are three types of discontinuities: removable, jump, and essential.

A removable discontinuity is a point at which the function is not defined, but the limit of the function as x approaches the discontinuity point from both sides is equal to a finite value.

A jump discontinuity is a point at which the function is defined, but the limit of the function as x approaches the discontinuity point from both sides is not equal.

An essential discontinuity is a point at which the function is not defined and the limit of the function as x approaches the discontinuity point from both sides is infinite or does not exist.

To find the discontinuity points of a function, you can:

Plot the function on a graph and look for any breaks or gaps in the graph.

Use the algebraic definition of continuity to determine whether the function is continuous at a given point.

Use the limit definition of continuity to determine whether the function is continuous at a given point.

Use a computer algebra system (CAS) to find the discontinuity points of a function.

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A point where the function is not defined and the limit of the function as x approaches the discontinuity point from both sides is infinite or does not exist is referred to as an important discontinuity.

A function's discontinuity points can be located by:

Plot the function on a graph and check the graph for any splits or gaps.

To ascertain whether the function is continuous at a specific point, use the algebraic notion of continuity.

What is the value of k if 1 2 is a root of the equation x2 kx 5 4 0?

Answers

The value of k in the quadratic equation is k = 2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + kx - 5/4 = 0   be equation (1)

Now , on simplifying the equation , we get

If 1/2 is the root of given equation, then it will satisfy it.

So , when x = 1/2

( 1/2 )² + k ( 1/2 ) - 5/4 = 0

( 1/4 ) + k/2 - 5/4 = 0

k/2 - 1 = 0

Adding 1 on both sides of the equation , we get

k/2 = 1

Multiply by 2 on both sides of the equation , we get

k = 2

Therefore , the value of k is 2

Hence , the value of k in the equation is 2

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How many terms are there in the expression x³ 4x² 7x − 2 *?

Answers

The provided phrase, x3+4x2+ 7x+ â' 2 has four terms.

What does the phrase mean?

Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.

What kind of phrase would that be?

A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.

The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.

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How do you translate coordinates?

Answers

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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What is the equation of the line in point slope form containing the point (2, -7) and the slope of 4?

Answers

The required equation of the line is y = 4x - 15

   

The slope-intercept form of a line:

The slope-intercept form of a line is given by

          y = mx + c

Where m = slope and c =  y-intercept

Given slope of line m = 4 and the point is (2, -7)

As we know

The slope-intercept form is, y = mx + c --- (1)  

From the given data, m = 4

Substitute m = 4 in (1)

=> y = 4x + c ---- (2)

Here (2) will pass through (2, -7)

(2) =>  - 7 = 4(2) + c  

=> - 7 = 8 + c

=> c = - 8 - 7

=> c = - 15  

=> (2) => y = 4x - 15

Therefore,

The required equation of the line is y = 4x - 15

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Evaluate the expression 2.5x−20 for x=15

Answers

Answer:

[tex]17.5[/tex]

Step-by-step explanation:

[tex]2.5x15-20[/tex]

[tex]37.5-20[/tex]

[tex]17.5[/tex]

Hope this helps you

Use the situation to answer the questions.
Latisha has a new job that pays her weekly. She has arranged for the same amount from
each paycheck to be deposited into her savings account. On week 9, her savings account
has a balance of $496, and on week 16, her savings account has a balance of $664.
6) What does the independent variable x represent in this problem?
7) What does the dependent variable y represent in this problem?

Answers

The independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.

What is the independent and dependent variable?

In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are variables. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent, by some law or rule, on the values of other variables.

We have,

On week 9, her savings account has a balance of $496,

on week 16, her savings account has a balance of $664.

The equation which represents the situation is:

consider x for the initial amount in the account and y for the weekly deposited amount into her savings account.

so,

x + 9y = $496,

x + 16y = $664.

Hence, the independent variable x represents the initial amount of her savings account, and the dependent variable y represents the deposited amount into her savings account.

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37. Rajiv gets pocket money from his farther everyday. Out of pocket money, he saves ₹ 2.75 on 1st day and on each
succeeding day he increases his saving by 25 paise
(i) On which day he saves 7.75?
(ii) Find the difference between the amount saved by Rajiv on 25th day and 14th day.
(iii) Find the sum of amount saved on first 10 days.

Answers

Step-by-step explanation:

first we come up with a formulae:
Amount of money saved = 2.25+0.25x,

where x is the number of days

Answer:

1. 7.75 = 2.25 + 0.25(x)

7.75 - 2.25/ 0.25 = x

x = 20

2. 2.25+0.25(25) - 2.25 +0.25(14)

= 9.75

3. 2.25 + 0.25(10)

= 4.75

I hope i explained it well...

( i ) 21st day he saves 7.75

(ii) the difference between the amount saved by Rajiv on the 25th day and the 14th day is 2.75 rupees.

(iii) the sum of the amount saved in the first 10 days is 5 rupees.

Solution: (i)  given: on each succeeding day he increases his saving by 25 paise.

                2.75 rupees he saves on the  first day

        so    = 2.75 +(0.25×20)

                = 2.75+5

                = 7.75 rupees

         (ii)   amount saved by Rajiv on the 25th day is:

                = 2.75+(0.25×24)

                = 2.75 + 6

                = 8.75

               amount saved by Rajiv on the  14th day is :

                =2.75+(0.25×13)

                =2.75+3.25

                =6

therefore the difference between Rajiv' saving on the  25th day and the  14th day   is :         =   8.75-6                                    

                     =     2.75

          (iii)   the sum of the  amount saved in the first 10 days is :

                =  2.75+(0.25 ×9)  

                =  2.75+2.25

               =   5          

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What are the 4 types of roots math?

Answers

The types of roots in math are known as real roots , imaginary roots or repeated roots.

roots > 0  imaginary

roots < 0  real

roots = 0  repeated

When the roots are bigger than zero, they are referred to as real roots. When the value of the obtained roots is less than zero, the obtained roots are referred to be not real or imaginary roots.

When the sum of the obtained roots equals zero, we conclude that the roots are repeated.

In order to find the roots of a equation we can plot them on a graph and the solve them or we can factorize the given equation. We can also use the formula to calculate graph using determinant method.

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a = 5, c = 30 what is b square

Answers

Answer:

25 it's easy as 123 ABC 123 abc

A number n is such that when divided by 3,7,11 or 13,the remainder is always one.Find the number n

Answers

Step-by-step explanation:

(3x7x11x13)+1=3004

n=3004

What is the median of 1 2 3 4?

Answers

The median number of 1 2 3 4 is 2.5

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The number given is 1 2 3 4

We have to determine the median of the above number.

If the number of words is even, we must add two middle terms and divide the result by two. The median is what we obtain as a mean.

Substitute the value in above equation we get,

=(2+3)/2

Adding the two number we get,

=5/2

Now dividing 5 by 2 we get,

2.5

Median=2.5

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Determine the x -intercepts of the quadratic y = x 2 + 2 x − 15 by factoring.

Answers

Answer:

x-intercepts: x=3, -5

Step-by-step explanation:

y = x^2 + 2x − 15

y = x^2 + 5x - 3x − 15  ==> 5*(-3)=-15 and 5+(-3) = 5-3=2

y = x^2 + 5x - 3x − 15

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

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

x-3=0  ==> x=3

x+5=0 ==> x=-5

x-intercepts: x=3, -5

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Write the equation of the line in fully simplified slope-intercept form.

Answers

The required equation of the line is y = 3x + 2 in slope-intercept form.

To write the equation of a line in slope-intercept form, we need to know the slope of the line and the y-intercept. The slope of a line is defined as the change in y divided by the change in x for two points on the line.

According to the given graph, the required solution would be as:

For the given points (2, 2) and (4, 8),

So, the slope is : m = 8 - 2 / 4 - 2 = 6 / 2 = 3.

With the slope and y-intercept, we can write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the point (2, 2), the y-coordinate is the y-intercept, so the y-intercept is 2.

So, the equation is y = 3x + 2

Therefore, the required equation of the line is y = 3x + 2 in slope-intercept form.

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help asap please :)

which of the following expressions is equal to -x^2-36?
A: (-x+6i)(x-6i)
B: (x+6i)(x-6i)
C: (-x-6i)(x+6i)
D: (-x-6i)(x-6i)

Answers

[tex] - x {}^{2} - 36 \\ - (x {}^{2} + 36) \\ - (x {}^{2} - (6i) {}^{2} ) \\ - (x - 6i)(x + 6i) \\ ( - x + 6i)(x + 6i) \: \: or \: \: (x - 6i)( - x - 6i)[/tex]

Answer: D

Answer:

D: (-x-6i)(x-6i)

Step-by-step explanation:

(-x-6i) (x-6i)

-x^2 +6ix -6ix -36

-x^2 -36

So, D is the correct

Which of the following is an irrational number?
√70
√16
√1
√81

Answers

Answer:

70 it's a irrational number

Answer:

√70

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a simple fraction and has an infinite, non-repeating decimal representation. Examples of irrational numbers include √2, π, and e.

Of the numbers you listed, √70 is an irrational number. The other numbers are not irrational because they can be expressed as simple fractions: √16 = 4, √1 = 1, and √81 = 9.

A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?

ANSWER: cluster sampling

Answers

The answer is random sampling in my thinking.

please mark me brainliest<3

How will you know if a function increases and decreases?

Answers

A function increases if the output value of function increases on increasing the input value and the function decreses if the output value of function decreases on increasing the input value

As we know a function is nothing but a relation between input values and output values where each input has exactly one output.

Consider a function y = f(x)

For a given function if the value of y increases on increasing the value of x, then the function is an increasing function

If the y-value decreases on increasing the value of x, then the function is a decreasing function.

Another method is that if we need to determine whether a function f(x) is increasing or decreasing at point 'a'.

If a function is differentiable on an open interval, we calculate the derivative of function f(x)

If the derivative f′(x) > 0 on an open interval, then function f(x) is increasing on that interval.

If the derivative f′(x) < 0 on an open interval, then function f(x) is decreasing on that interval.

Therefore, if the output value of function increases on increasing the input value then the function is an increasing function and if the output value of function decreases on increasing the input value then the function is an decreasing function.

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What is the multiplicity of 0?

Answers

The multiplicity of 0 is the number of times that 0 appears as a root of a polynomial equation.

In other words, it is the number of times that 0 is a solution to the equation. For example, the equation x^2 - 4x + 4 has two solutions, 0 and 4. The multiplicity of 0 is therefore 2, since 0 is a repeated solution.

If a polynomial equation has only one 0 as a solution, the multiplicity of 0 is 1. In some cases, a polynomial equation may have no 0s as a solution, in which case the multiplicity of 0 is 0.

In general, the multiplicity of a number is the number of times it appears as a solution to a polynomial equation. For example, the equation x^2 - 2x + 8 has two solutions, 2 and 4. The multiplicity of 2 is 1, since 2 appears only once as a solution, while the multiplicity of 4 is 2, since 4 appears twice as a solution.

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Determine the frequency of each class in the table shown. Number of Candles in a Glass Jar Class Frequency 1003 1062 1063 1122 1123 1182 1183 1242 1243 1302 1303 1362

Answers

The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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GEOMETRY HELP PLEASE!

Answers

1.) If it is not a polygon, it is not a square.

2.) If figure is polygon, it is a square.

3.) If figure is not square, it is not a polygon


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when milo went to register for classes at the last minute, the only classes left to take were seven math courses, five computer science courses, three statistics courses, and four science courses. he shut his eyes and picked one at random. find the probability that milo selected either a science course or a math course. express your answer as a reduced fraction. (the probability that milo will ever graduate using this strategy is an interesting question, too.)

Answers

The probability that Milo selected either a science course or a math course is 7/19 (or 0.3684210526).

Using this strategy, Milo has a 36.84% chance of selecting either a science or math course. This strategy is highly risky and unreliable, as there is no guarantee that Milo will select a course he is interested in or capable of taking. Additionally, Milo has a 63.16% chance of selecting a course he may not be interested in or able to take. There is no assurance that Milo will succeed with this strategy, and it could put him at a disadvantage in his academic career. As such, it is not recommended that Milo use this strategy to register for classes.

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1. The product of 6, and a number increased by 2, is -24. What is the number?

Answers

Answer:

Step-by-step explanation: 6* (N + 6) = -24

                                              6*n + 6*6=-24

                                               6n+36=-24

                                                   -36   -24

                                                   6n=-60

                                                    n=-10

                                         

When a prism and a pyramid have the same height and the same base the volume of the prism is greater than the pyramid?

Answers

Yes, the given statement is true the volume of the prism is greater than the volume of the pyramid when they have same base and same height.

As given in the question,

Formula required to calculate the volume of the pyramid and volume of the prism is given by :

Volume of a pyramid = (1/3) × (base area )× ( height )

Volume of a prism = (Base area) × (height)

When the base and height of the pyramid is same as that of the base and height of the prism then

Volume of the pyramid =  ( 1/3) × ( Base area  × height )

⇒Volume of the pyramid =  ( 1/3) × ( Volume of the prism )

⇒Volume of the prism = 3 × ( Volume of the pyramid )

⇒Volume of the prism >  Volume of the pyramid

Therefore, the volume of the prism is greater than the volume of pyramid is a true statement.

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What is an example of surface area?

Answers

Answer:

The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together.

Step-by-step explanation:

what is the probability that an arrangement of a, b, c, e, f, g begins and ends with a vowel?

Answers

The probability that an arrangement of a, b, c, e, f, g begins and ends with a vowel is 1/ 5, that is 0.2.

Therefore, the answer is 0.2.

In an arrangement of a, b, c, e, f, g, the total number of alphabets is 6 and number of vowels is 2.

The probability that an arrangement of a, b, c, e, f, g begins with a vowel is

P1 = 2/ 6

P1 = 1/ 3

The probability that an arrangement of a, b, c, e, f, g ends with a vowel given it begin with a vowel( In this case the total number of alphabets left is 5 and number of vowels left is 1)  is

P = 1/ 5

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Determine the period.
X is 10
Y is 1

Answers

Answer:

9

Step-by-step explanation:

The top of the slope starts at 1, and it repeats at 9

What is the equivalent of 2 by 7?

Answers

Answer:

in ratio 4:14

Step-by-step explanation:

What is the relationship between a function and its
inverse?

Answers

A function is a group of components or inputs that have a relationship and produce an outcome. A function's inverse is the function's opposite. When a function's inverse is applied, its domain changes to its range, and conversely.

What is a function?

The core of calculus in math is the concept of functions. The unique types of connections are the ones with functions. Mathematical functions are represented as a rule that, for each input x, produces a distinct result.

As per the question, the relationship between a function and its inverse will be:

1. A group of elements or inputs that are related to one another and produce an output is referred to as a function.

2. A function's reverse is called a function's inverse.

3. When a function is inverse, the domain becomes the range, and vice versa.

4. The graphs of the two concepts—function and inverse—will resemble one another in reverse.

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What is the y-intercept of 2x y =- 3?

Answers

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

What is the y-intercept of the given equation?

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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An advantage of organization in the u.s. that compete globally is PLEASE HELP!For what values of x are the following expressions equal to each other:the trinomials 3x^2 - 4x +3 and x^2+x+1 7th grade math does anyone got any idea of what this could be Can someone please help I dont understand how to do this thank you PLEASE HURRY!! I HAVE TO FINISH BY 2:00 AND IT IS 1:26Why was the relationship between the United States and the Soviet Union difficult after WWII? Each nation sought support from Germany. Both nations competed with each other economically. Both nations refused to sign a peace treaty. Each nation distrusted and feared the other How did slavery develop and change in Africa The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left? What is the volume of a square pyramid with a base area of 36 and a height of 9 cm?o 36 cmo 108 cmo 18 cmo 324 cm 9/3Streak8 20th3970If you save $800 in the bank with an interest rate of 4%, how much money will youhave at the end of 5 years? define the term pure substance HELP ME PLEASE!The graph below shows a line graphed through the points Which of the following websites is reliable? 1.Paragraphs always state a main idea with supporting details.O A TrueO B. False2.Arabic numbers are used in outlines.O A. TrueO B. False3.you should never put the date on your notes.O A. TrueO B. False4.Notetaking is done only when you read something.O A. TrueO B. False5.The subheadings are the supporting ideas in an outline.O A. TrueO B. False6. Under no circumstances should you use abbreviations when taking notes.O A. TrueO B. False7. The abbreviation for the Central intelligence agency is CIA.O A. TrueO B. False8. Comparing and contrasting is one way to graphically represent your notes.O A. TrueO B. False9. Permanship ship does not matter when you are taking notes.O A. TrueO B. False10. Margins are often used to__________O A. Color in.O B. Add bits of information.O C.Doodle.O D take notes. THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU what are some of the limitations of using first person perspective multiple choice question pls help! which gas would diffuse rapidly at the same temperature and pressure UF6 or CL2 HELP ASAP!!!!!!!!!!!!!!!!!!!! BRAINLIEST AND 100 PTS!Article 4 of the Texas Constitution states: "The Governor shall ... account to theLegislature for all public moneys received and paid out by him, from any fundssubject to his order, with vouchers; and shall accompany his message with astatement of the same."Which principle does this statement illustrate?checks and balancesfederalismindividual rightspopular sovereigntyTHANK YOU :))))))))))))))))))) Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice. Part A: Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer. ( Part B: How many hours each day does Amber spend coaching each sport? Show your work. ( Will Mark Brainliest. Only answer if your 100% sure. This is very important). what do you think are the roles that media play in our society?