Max conducted a survey of 60 students in which he asked about their favorite school subject. 24 students said math, 12 students said science, 18 students said English.
and 6 students said social studies. Max wants to make a circle graph of these data. What angle measure should he use for the English section
!!!

Answer: One-third of a gallon divided by 3 gallons equals one-ninth.

Step-by-step explanation:  1/3 / 3/1  = 1/3 x 1/3 = 1/9

Answer:

y = 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x - 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , then

y = 2x + c ← is the partial equation

to find c substitute (2, 7 ) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 2x + 3 ← equation of perpendicular line

The percentage he has chopped is 25%

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

Total number of tomatoes = 60

Total number of chopped tomatoes = 15

The percentage he has chopped is then calculated as

Percentage = Total number of chopped tomatoes/Total number of tomatoes * 100%

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

Percentage = 15/60 * 100%

Evaluate

Percentage = 25%

Hence, the percentage is 25%

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Since AB || CD and m∠2 = 35° in Quadrilateral ABCD, the measure of angle 5 (m∠5) is equal to 35°.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Additionally, these angles are generally referred to as alternate interior angles. In this scenario, we can logically deduce the following information and parameters from Quadrilateral ABCD:

Therefore, we can logically deduce and conclude that m∠5 in Quadrilateral ABCD is equal to 35 degrees in accordance with the Alternate Interior Angles Theorem.

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Step-by-step explanation:

To model this situation, we can set up two equations: one for the bird and one for the leaf.

For the bird, we can let t be the time in seconds and h be the height of the bird in feet. We know that the bird flies up at a rate of 4 feet per second, so we can write the equation:

h = 4t

This equation represents the height of the bird at any given time t.

For the leaf, we can also let t be the time in seconds and h be the height of the leaf in feet. We know that the leaf drops from a height of 21 feet and floats to the ground at a rate of 3 feet per second, so we can write the equation:

h = 21 - 3t

This equation represents the height of the leaf at any given time t.

Together, these two equations form a system of equations that can be used to model the situation.

The monthly payment for the $300,000 mortgage, of 15 years, with a 4.4% interest rate and 20% down payment is given as follows:

$1,823.79.

The monthly payment formula is given by the equation presented as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which the parameters are given as follows:

The down payment is of 20%, hence the amount subject to interest is given as follows:

P = 0.8 x 300,000 = 240,000.

The remaining parameters have the values given as follows:

r = 0.044, n = 15 x 12 = 180.

Hence:

r/12 = 0.044/12 = 0.003667.

Then the monthly payment is obtained as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 240000\frac{0.003667(1.003667)^{180}}{(1.003667)^{180} - 1}[/tex]

A = $1,823.79.

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Senior Math Online Content Active ical Models with Applications - MA4072 A Click to read the online material. when an element is removed from the RHS or LHS.

Think about a single-variable equation 2 x+5=4 x+3

If a variable is not dropped from either the LHS or the RHS, we obtain a different solution.

Put the variable on one side and the constant on the other.

[tex]$$\begin{aligned}& \rightarrow 4 x-2 x=5-3 \\& 2 x=2\end{aligned}$$[/tex]

on both sides, divide by two.

x=1

We will now only have constants, which may or may not be equal, if we remove the variables from both sides.

Now, suppose LHS if we drop inequality from one side.

4 x+3=5

4 x=5-3

[tex]$$\begin{aligned}& 4 \mathrm{x}=2 \\& x=\frac{2}{4} \\& =\frac{1}{2}\end{aligned}$$[/tex]

We eliminate inequity from the opposite side, or RHS.

[tex]$$\begin{aligned}& 5+2 x=3 \\& 2 x=3-5 \\& 2 x=-2\end{aligned}$$[/tex]

By dividing by 2, x equals -1 on both sides. As a result, we have three different solutions when no variable is dropped from any side; and when a variable is dropped from either the LHS or the RHS.

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The polynomial in the standard form is 4m³ - 9m² - m + 25. Then the polynomial is a cubic polynomial.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

⇒ 25 - 9m² - m + 4m³

Convert the polynomial into its standard form. Then we have

⇒ 25 - 9m² - m + 4m³

⇒ 4m³ - 9m² - m + 25

The degree of the polynomial is 3. Then the polynomial is a cubic polynomial.

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The quotient of the two decimal numbers 42.4 and 7.28 as required to be evaluated in the task content is; 5.82.

It follows from the task content that the quotient of the two decimal numbers given; 42.4 and 7.28 is required to be determined.

On this note, since the given division operation is;

42.4 ÷ 7.28

which may alternatively be written as; 42.4 / 7.28

By the use of a calculator; the quotient is therefore equal to;

= 5.824175824

However, when rounded to the nearest hundredth; we have;

= 5.82.

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Using the addition method to solve the given system of equations, It can't be solved because these are the set of parallel lines.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

There are three ways to solve systems of linear equations :

take first equation multiply it by 2 and subtract second equation from it,

We can't solve for any values,

This is because our equations are parallel in nature.

They never intersect each other.

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Answer:

x = -5

Step-by-step explanation:

6(x+2) = (5x+7)

6x + 12 = 5x + 7

x = -5

The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.

A 25% off coupon is a discount price.

The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:

For a $60 meal:

Cost of meal = $60 - 25% * $60

Cost of meal = $60 - $15

Cost of meal = $45

For a $100 meal:

Cost of meal = $100 - 25% * $100

Cost of meal = $100 - $25

Cost of meal = $75

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Complete question:

Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.

Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)

A) If the original cost of the car was $90000 and it now costs 34% more, the price has increased by 0.34*90000 = $30600. Therefore, the price today is 90000+30600 = $120600.

B) During the sale, the price of the bicycle dropped from $160 to $125, a difference of 160-125 = $35. This represents a decrease in price of 35/160 = 21.875%. Therefore, the percentage decrease in price is approximately 22%.

Refer to the image uploaded, all the steps included

m+n = 8. The probability that Kathy will be happy is 3/8. This can be seen by counting the total number of possible arrangements of red and green cards that would make her happy (6). There are a total of 8 arrangements, so the probability is 3/8.

There are 6 possible arrangements of red and green cards that would make Kathy happy:

RRRRR, GGGGG, RRGGG, GGRRR, GRRRG, and RGGGR.

There are a total of 10 cards and 5 of them are laid out in a row, so the total number of arrangements is

10C5 = 10!/5!(10-5)!

= 10*9*8*7*6/5*4*3*2*1

= 10*9*8/5*4*3

= 8*9

= 72.

The probability that Kathy will be happy is the number of arrangements that make her happy (6) divided by the total number of arrangements (72). Therefore, the probability is

6/72

= 3/8.

Therefore, m+n = 8.

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Step-by-step explanation:

-13 x 4 = -52

-52 x 0.5 = -25

-2 x 0.5 = -1

-1 + -25 = -26

Answer:

9:37

Step-by-step explanation:

right!

Answer:

8:19

Step-by-step explanation:

The percentage of the marks scored by Ravi is 72%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Ravi scored 18 marks out of 25 in a maths unit test. The percentage of the marks will be calculated as,

Percentage = ( Marks obtained / total marks ) x 100

Percentage = ( 18 / 25 ) x 100

Percentage = 0.72 x 100

Percentage = 72%

Hence, the percentage will be 72%.

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The values of x and y in polygon D is 95 and 85, and the value of x and y in polygon E is 85 and 95

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The polygon D having measure of an angle is 70°, 100°, 105°,

The polygon E has angles 100°, 95°, 70°

Calculate the value of x in the polygon D as shown below,

70 + 100 + 105 + y = 360

y = 360 - 275

y = 85

Hence, x = 180 - y (linear pair)

x = 180 - 85

x = 95

Calculate the value of x in the polygon E as shown below,

100 + 95 + 70 + y = 360

y = 360 - 265

y = 95

x = 180 - 95

x = 85

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The ratio of total points scored to games played for each player are  Kiara 7:1,  Cecilia = 6:1, and Kayleigh= 7:1. (b) The ratios of Kiara and Kayleigh are proportional

You should know that two ratios are proportional to each other if they are equal.  also, you should be aware that ratios show the number of times a number appears in another number when divided.

The parameters that will guide us to get these ratios are

Players             Number of games     Total points             Ratios

Kiara                               25                      175                         1:7

cecilia                             20                       120                       1:6

Kayleigh                          15                        105                       1:7

Therefore from the table shown above, the ratios of Kiara and Kayleigh are proportional with 1:7 respective.

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Step-by-step explanation:

p and q are parallel.

let's first only look at a and it's intersections with p and q.

based on the rules of intersecting lines (the angles of intersecting lines are the same in both sides of any of the lines, they are only left-right mirrored) and then parallel lines at that (the intersecting angles of a line with parallel lines are the same with every parallel line, otherwise they are not parallel).

angle 2 = angle 5 = angle 10 = angle 13

therefore,

8x + 14 = 10x - 10

14 = 2x - 10

24 = 2x

x = 24/2 = 12

angle 2 = 8×11 + 14 = 88 + 14 = 102°

because of the same rules of intersecting lines and parallel lines. it is also clear that

angle 4 = angle 7 = angle 12 = angle 15

therefore,

13y + 19 = 15y + 5

19 = 2y + 5

14 = 2y

y = 14/2 = 7

angle 4 = 13y + 19 = 13×7 + 19 = 91 + 19 = 110°

if a and b would be parallel too, then the principle of the same angles would be true not only top-down (as for the pervious 2 problems) but also left-right.

and then angle 2 would be equal to angle 4.

but they are not.

although the difference is small, it means a and b will intersect somewhere.

and they are therefore not parallel.

The pairs of events that are disjoint and cannot occur at the same time are:

Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time.

For example, the results of a single coin flip, which can result in either heads or tails but not both is a disjoint event since both head and tail cannot appear.

Considering the events given:

Event A: Spin an odd number

Event B: Spin a number greater than 5

Event C: Spin a 4

Event D: Spin a multiple of 2

Event A and Event C are disjoint because one cannot spin an odd number and a 4 since it is an even number.

Event A and Event D are disjoint because one cannot spin an odd number and a multople of 2 since it will an even number.

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The probability to know of it is a fair game depends on how the spinner is designed.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events.

It depends on how the spinner is designed and the probability of landing on each number. If the spinner is fair and each number is equally likely to be spun, then the probability of winning is 1/2, or 50%.

This means that over the long run, you would be expected to win half of the games you play. If you and your friend agree that these are the rules of the game and you both understand the probability of winning, then the game could be considered fair.

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The volume of the top section of the figure is 16 cm³.

Given is the solid cuboidal figure as shown in the image.

The volume of the top cuboidal figure will be -

V = L x B x H

V = 2 x 2 x 4

V = 4 x 4

V = 16 cm³

Therefore, the volume of the top section of the figure is 16 cm³.

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Jim's and Susan's lawn care businesses charge different rates for a 10-hour shift; the difference is $40.

The groupings of numbers include ones, tens, scores, tens, millions, and so forth. Ones, tens, or hundreds are the three subgroups that make up each group. When printing or reading a huge number, start with both the largest group on the left and work your way right.

work done = force × distance. W = F s. When the amount of work (W) is expressed in joules.

It will be Susan's Charge for ten hours.

= 168 + 72 $

= 240 $

while Jim Charges was for 10 hours

= 120 + 80 $

= 200$

The rates Susan and Jim charge during 10 hours of labor in their respective lawn care businesses are as follows:

= 240 - 200 $

= 40$

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The total money remaining to be collected is given by -

R(x) = 8x² - 7x + 12.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is that the three friends collected some amount of money to buy the earphones. It is asked to find the amount of money still remaining to be collected.

The total cost of earphones are -

T(x) = 9x² - 3x + 4

The total money collected by the friends is -

C(x) = x² + x - 12 + 3x + 4

C(x) = x² + 4x - 8

Money still need to be collected -

R(x) = T(x) - C(x)

R(x) = 9x² - 3x + 4 - (x² + 4x - 8)

R(x) = 9x² - x² - 3x - 4x + 4 + 8

R(x) = 8x² - 7x + 12

Therefore, the total money remaining to be collected is given by -

R(x) = 8x² - 7x + 12.

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The fee is 50$

Step-by-step explanation: The way I got this is by checking the differences between each month and finding out that each one is 30 and then I subtracted it from 80 and got 50$

The data that is shown in a frequency table can be displayed in:

There are several types of graphs that can be used to display data from frequency tables, including bar graphs, line graphs, and histograms. Bar graphs are a type of graph that use bars to represent different categories or groups of data, with the height of the bars representing the frequency of each category.

Line graphs are a type of graph that use a series of connected points to show trends or changes in data over time, with the height of the points representing the frequency of the data.

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The solutions of the linear equation is

x      y

-8    9

-6    8

-4    7

-2    6

0     5

2      4

4      3

6      2

8      1

10     0

the graph is a straight-line graph

The solutions of the linear equation is the found by substituting an x value and solve for y

the given equation 1/2x + y = 5, rearranging the equation gives

y = 5 - 1/2 x

For x = -8,  y = 5 - 1/2 * -8 = 9

For x = -6,  y = 5 - 1/2 * -6 = 8

For x = -4,  y = 5 - 1/2 * -4 = 7

For x = -2,  y = 5 - 1/2 * -2 = 6

For x = 0,  y = 5 - 1/2 * 0 = 5

For x = 2,  y = 5 - 1/2 * 2 = 4

For x = 4,  y = 5 - 1/2 * 4 = 3

For x = 6,  y = 5 - 1/2 * 6 = 2

For x = 8,  y = 5 - 1/2 * 8 = 1

For x = 10,  y = 5 - 1/2 * 10 = 0

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