please let me egt teh answer rq

D- f = 5 + 3d f≤ 65 system of equation and inequality models the distance traveled by the person.

Inequality in math is when one number or value is not equal to another. It can be expressed using symbols such as ">," "<," "≥," and "≤," which are used to indicate whether a value is greater than, less than, or equal to another. Inequalities are used to express mathematical relationships, such as the balance of a budget. Inequality can also be used to represent the difference between two values, or the amount of change that has occurred.

This system of equation and inequality models the distance traveled by the person in the given scenario. The equation f = 5 + 3d represents the total cost of the cab fare, where 5 is the base fare and 3 is the cost per mile. The equation f≤65 represents the constraint that the total cost of the cab fare must be less than or equal to 65 dollars. Therefore, the person can travel a maximum distance of d = (65 - 5) / 3 = 20 miles for their given budget of 65 dollars.

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The probability of students chosen at random does not study chemistry is  [tex]\frac{20}{41}[/tex].

What is probability?

The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

Total number of student = 6+7+2+5+4+8+6+3 = 41

Now number of chemistry students = 8+3+4+6 = 21

Then Non chemistry students = 41-21 = 20

So required probability = Non chemistry student/ Total number of students

=> probability = [tex]\frac{20}{41}[/tex]

Hence the probability of students chosen at random does not study chemistry is  [tex]\frac{20}{41}[/tex].

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a. 48 boys sometimes wear glasses.

b. 103 students wear glasses some of the time.

c. 305 students never wear glasses

d. There are more number of boys in the school.

e. The percentage of girls who never wear glasses is 61.28%.

f.  The percentage of boys is 51.45%.

g. The percentage of students who always wear glasses is 15.7%.

The values above are obtained by observing the frequency table.

The number of times a specific data value occurs is the frequency of that data. We use f to symbolize the frequency of a data value.

A frequency table is a table that lists items and displays how frequently each item happens.

a. The total students are 484.

Out of this, 76 students always wear glasses and 305 students never wear glasses.

Thus, the number of students who sometimes wear glasses are:

484-305-76= 103 students

Out of these 103, 55 are girls, so the number of boys are;

103-55= 48

Thus, 48 boys sometimes wear glasses.

b. The number of students who wear glasses some of the time are:

48+55= 103 students

c. The number of students who never wear glasses are:

161+144= 305 students

d. The total number of boys in the school are:

40+48+161= 249 boys

The total number of girls in the school are:

36+55+144= 235 girls

Thus, there are more number of boys in the school.

e. There are total 235 girls in the school. Out of this, 144 girls never wear glasses.

So, the percentage is 144/235*100 = 61.28%

f. There are total 484 students in the school. Out of this, 249 students are boys.

So, the percentage is 249/484*100= 51.45%

g. There are total 484 students in the school. Out of this, 76 students always wear glasses.

So, the percentage is 76/484*100= 15.7%

Hence, the frequency table is completed and the values are obtained.

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Answer: y=3 - 1/2x

Step-by-step explanation:

The line is sloping down, so the slope is negative. The y-int is 3, and it goes down one, right 2

Answer: y = -1/-2x + 3  or y = 1/2x +3

Step-by-step explanation:

you first find the y intercept of the equation y = mx+b

to do this you go to 0 and find count up or down until it crosses the y axis(3).

from there you find your slope count up or down and left and right

slope formula is m=rise over run (-1/-2).

then you plug in your numbers to slope intercept form.

The solution of the inequality is x ≥ 0 or x ≤ -20

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4

|(1/5)x + 2| + 4 ≥ 6

Due to the absolute sign | |, the inequality can be written as:

(1/5)x + 2 + 4 ≥ 6  or -[(1/5)x + 2] + 4 ≥ 6

For (1/5)x + 2 + 4 ≥ 6:

(1/5)x + 2 + 4 ≥ 6

(1/5)x + 6 ≥ 6

(1/5)x ≥ 6 - 6

(1/5)x ≥ 0

x ≥ 0

For -[(1/5)x + 2] + 4 ≥ 6:

-[(1/5)x + 2] + 4 ≥ 6

-(1/5)x - 2 + 4 ≥ 6

-(1/5)x + 2 ≥ 6

-(1/5)x  ≥ 6 - 2

-(1/5)x  ≥ 4

-x  ≥ 4 × 5

-x  ≥ 20

x ≤ -20

Thus, the solution is x ≥ 0 or x ≤ -20

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The graph that shows the number of light bulbs, y, changes as the number of light panels, x, changes is given below.

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given that, In an office, each light panel holds two light bulbs.

Number of light bulbs, y, for 1 light panel, x = 2

When x = 1, y = 2

Since the function is linear,

When x = 2, y = 2 × 2 = 4

When x = 3, y = 2 × 3 = 6

This will goes on.

Points on the graph are (1, 2), (2, 4), (3, 6), ......

Hence the graph which represents the situation is given below.

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a)  We will cut the wire [tex]$=60-4\left(\frac{60}{4+\pi}\right)$[/tex] =26.3940

b) For the maximum area, we can not cut the wire anywhere.

Length of wire =Perimeter of circle +Perimeter of square

[tex]$$\begin{aligned}& 2 \pi r+4 x=60 \\& r= \frac{60-4 x}{2 \pi}=\frac{30-2 x}{\pi}\end{aligned}$$[/tex]

Let the side of squares x and r is the radius of the circle.

[tex]$$\begin{aligned}\text { Area } & =\pi r^2+x^2 \\& =\pi\left[\frac{30-2 x}{\pi}\right]^2+x^2 \\A(x) & =\frac{1}{\pi}[30-2 x]^2+x^2 \\A^{\prime}(x) & =\frac{2}{\pi}(30-2 x)(-2)+2 x \\A^{\prime}(x) & =0 \Rightarrow \frac{2}{\pi}(30-2 x)(-2)+2 x=0 \\& x=\frac{60}{4+\pi} \approx 8.40\end{aligned}$$[/tex]

A'(5) = -15.464, A'(9)=2.72

Since [tex]$A^{\prime}(x)$[/tex] the change negtive to positive at [tex]$x=\frac{60}{4+\pi}$[/tex], so its minima.

[tex]r=\frac{30-2\left(\frac{60}{4+\pi}\right)}{\pi}=\frac{30}{4+\pi}[/tex]

a) for the minimum area the side of the square should be [tex]$\frac{60}{4+\pi}$[/tex] which is  approximately equal to 8.40.

We will need to cut the wire 4 times the side of the square

So we will cut the wire [tex]$=60-4\left(\frac{60}{4+\pi}\right)$[/tex] =26.3940

b) for the maximum area the problem is defined into [tex]0 \leqslant x \leqslant 15[/tex]

So, when x=0 the square shrinks to 0 and the whole 60 wire is made into a circle.

When x=15 making the parameter of the. square 60 and the whole circle shrink to 0

So for the maximum area, we can not cut the wire anywhere.

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Models with gaps, openings, and edges that have only one face merging with them are examples of non-manifold geometry.

Non-manifold geometry is a type of geometry in which some points have neighborhoods that are not topologically equivalent to a ball. This means that some points have neighborhoods that are not locally homeomorphic to a small disk. This can happen when there are gaps, openings, or edges that have only one face merging with them. In these cases, the model is not "watertight" and it is considered non-manifold geometry.

On the other hand, manifold geometry is a type of geometry in which every point has a neighborhood that is topologically equivalent to a ball. This means that every point has a neighborhood that is locally homeomorphic to a small disk. In other words, every point has a neighborhood that is topologically equivalent to a small disk. This is the case in most "smooth" or "watertight" 3D models, where every edge is shared by exactly two faces.

Non-manifold geometry can occur in many 3D modeling scenarios, such as when creating a model with a hole, an edge that is not shared by any faces or when merging two or more models with different topologies.

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Answer: 17

Step-by-step explanation:

Start with (-2 = 5 ) if I’m correct that should be 3

Add 3x 5x and 6x which is 14 then add 3 which is 17x

The sum is B. 11c -14

How to determine this

By using the rule of BODMAS

Where B = Bracket off

O =  Order

D = Division

M = Multiplication

A = Addition

S = Subtraction

By following this given,

(9c - 8) + (2c - 6)

Using the first order,

By removing the Bracket

9c - 8 + 2c - 6

So, by order addition

9c + 2c - 8 - 6

11c - 8 - 6

And then, Subtraction

= 11c - 14

Therefore, the sum = 11c - 14

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The triangle's angles would be 15 degrees smaller than they originally were

If each angle of a triangle is reduced by 15 degrees, the triangle's angles would be 15 degrees smaller than they originally were. For example, if a triangle had angles of 60, 90, and 30 degrees, they would become 45, 75, and 15 degrees after being reduced by 15 degrees.

Triangles can be divided into various categories based on the size of their angles and the breadth of their sides. One of the most typical shapes, the triangle is utilised in building due to its stability and stiffness. Applying the concepts in a variety of real-world issues is made possible by understanding these properties.

Triangles are divided into the following sorts according to their side lengths:

Equilateral Triangle: When all three sides of a triangle are the same length, the triangle is said to be equilateral.

Isosceles triangle: An isosceles triangle is one in which each of its sides are equal or congruent.

Scalene triangle: A scalene triangle is a triangle in which none of the sides are equal.

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On solving the provided question, we can say that by unitary method  hire for R350 / day, the first 200kmare for free; cost to go to Cape Town if the distance is 1200 kilometers = 1200*350 = 420000

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

by unitary method

hire for R350 / day, the first 200kmare for free

the maintenance for the

day (costs R 225 R3,20 is charged

for every km travelled

cost to go to Cape Town if the distance is 1200 kilometers

= 1200*350 = 420000

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~7.62.

Using the Pythagorean Theorem, a^2 + b^2 = c^2, we find the legs of the triangle. Going down, we have 7 units. Going to the right, we have three units.

7^2 + 3^2 = 49 + 9 = 58

Now, we have to square root 58 since we squared the summation of 7^2 and 3^2.

(sqrt 58) ~ 7.62

Answer:

y=-6/1x-8

Step-by-step explanation:

Kevin bought dinner four times.

As per the data given in the above question are as bellow,

The details provided are as bellow,

Kevin is compensated for $3 hours.

Kevin is paid $1 per week.

Rides the bus $6 times and at the end of the week has nothing,

How many meals did he purchase?

The sum of Kevin's hourly wage and weekly stipend is equal to

3 * 14 + 21 = $63.

He takes the bus six times, thus the cost of the bus journey is six times =$2.50

=$15.

Kevin still has

=$63 - $15

= $48 in his pocket.

But if he has no money left at the end of the week, the number of times he purchased meals is equal to

=48/12

= $4.

Kevin bought supper as a result four times every week.

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A box-and-whisker plot is a graphical representation of a data set that uses quartiles and quartile boundaries to identify and display the distribution of the data.

|   |

|---|

|   |   __7___   __14__   __23__   __29__   __34__

|   |  |     | |     | |     | |     | |     |

|   |  |  24 | |  30 | |     | |     | |     |

|   |  |_____| |_____| |_____| |_____| |_____|

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A horizontal shift is a transformation in which a graph is shifted either left or right along the x-axis. A positive shift indicates a movement to the right and a negative shift indicates a movement to the left.

A horizontal shift is a transformation of a graph in which the graph is shifted either left or right along the x-axis. This is in contrast to a vertical shift, which shifts the graph up or down along the y-axis. A positive horizontal shift indicates that the graph has been shifted to the right. This means that the x-coordinates of any point on the graph will be increased by the same amount. On the other hand, a negative horizontal shift indicates that the graph has been shifted to the left. This means that the x-coordinates of any point on the graph will be decreased by the same amount. Horizontal shifts can also be referred to as translations or x-translations. This transformation can be used to move a graph in order to better compare its shape to another graph. It can also be used to more clearly show a pattern in the data, or to adjust the range of values that are shown on the graph.

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The value of k if x-1 is the factor of 4x³ + 3x² + 4x + k is k = -11

We know that the Factors theorem states that if a polynomial p(x) have a factor x-a, then p(a)=0.

Here, given that (x - 1) is a faxtor of 4x³ + 3x² + 4x + k

Let us assume that a polynomial P(x) = 4x³ + 3x² + 4x + k

Since x - 1 is a fctaor of P(x), by factor theorem, P(1) must be equal to zero.

Consider,

P(x) = 4x³ + 3x² + 4x + k

For x = 1,

P(1) = 4(1)³ + 3(1)² + 4(1) + k

0 = 4 + 3 + 4 + k                     .........(by Factor Theorem, P(1) = 0)

11 + k = 0

11 + k - 11 = 0 - 11

k = -11

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The length of the bottom of the ladder from the bottom of the building is 17.3 feet.

You place a 28 foot ladder against the top of a 22 foot building. The length of the bottom of the ladder from the bottom of the building can be calculated as follows:

The situation forms a right triangle.

The distance can be found using Pythagoras's theorem,

Hence,

c² = a² + b²

where

Therefore,

28² - 22² = b²

784 - 484

b² = 300

square root both sides

b = √300

b = 17.3205080757

Therefore,

b = 17.3 ft

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Answer:

17.3 feet

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

a. The amount of money that he lost will be $136.

b. The amount of money that he earned will be $32.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Miguel is working at the area fair. On Friday, he works at the snack bar. On Saturday, he works at the inflatable dart corner. At the inflatable dart corner, players are charged $1 for the opportunity to toss 3 darts. Prizes worth $4 each are granted to players who pop somewhere around 2 inflatables. Last year, 4 out of 12 players popped 2 inflatables and 1 out of 12 players popped 3 inflatables.

If the ratio of winners to players is the same this year and 204 people play the​ game. Then the amount of money is given as,

⇒ $1 x 204 - $4 x (1/12 + 4/12) x 204

⇒ $204 - $340

⇒ - $136

A negative sign represents the amount lost.

If Miguel requires players to pop 3 balloons to win a prize and 43 players still​ win. Then the amount of money is given as,

⇒ $1 x 204 - $4 x 43

⇒ $204 - $172

⇒ $32

A positive sign represents the amount earned.

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Answer: C

Step-by-step explanation:

By expanding and combining like terms, you get 4x^4+6x^3+9x^2-4x+3, which is C. (Too complex, I don't want to type all the work I did on paper onto this)

999 feet divided by two equals 499.5 feet. As a result, the length and width are each 249.75 feet.

Give at least one potential measurement of a rectangle's length and breadth if its perimeter is 999 feet. For example, 999 feet divided by two equals 499.5 feet. As a result, the length and width are each 249.75 feet. P = 4X, where X represents the unknown sides and P represents the square's perimeter, is the formula for calculating the perimeter of a square. X would then be the subject of the formula to determine the width of a square. X=P/4 would therefore be our new formula.

The area of a rectangle formula, w=A/l, is used to first determine the width of a rectangle, which is then used to get the length of a rectangle. Substituting width for length and simplifying length "l" values in the calculation for a rectangle's perimeter,

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According to the given information in the question the solution of the inequality is x ≤ 4.

The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().

Here the given inequality is ,

=> x+3≤ 7

=> x+3-3≤7-3

=> x ≤ 4

Hence the solution of the inequality is x ≤ 4.

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The best graphical representation of the data is given below.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The attached table named 'x and y values' shows the points scored by a basketball team during the first 13 games of the season.

To determine the best graphical representation of the data:

We have to find the line of the best fit.

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit.

And the graph of the equation is given in the attached image named 'regression 2'.

Therefore, the explanation is given above.

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Answer:

45

Step-by-step explanation:

5✖y=225

225÷5 =45

B=45

Answer:

45

Step-by-step explanation:

5y=225

÷5. ÷5

y=45

divide 225 by 5 to get y , hope i helped xx

Answer: 77

Step-by-step explanation:

alright average just means the sum of all the items in a set divided by the number of items in a set.

So, if you have an average of 70 for 6 tests, your scores added up shall be 70x6 = 420.

Now, to solve this we need to first at 60+78+65+68+72 which is equal to 343. Subtracting 343 from 420 we have 420-343 = 77. So, for her last test the student needs to get a 77.

The inverse of -2 is 1/2. This is because the inverse of any number is the number multiplied by its reciprocal, which in this case is 1/2.

The inverse of a number is its reciprocal. The inverse of a number is the number multiplied by its reciprocal.

For example, the inverse of 4 is 1/4, and the inverse of -3 is -1/3. The inverse of a number is also known as its multiplicative inverse.

Additionally, it is useful in understanding inverse functions, which are functions that when applied to a number, give the inverse of that number.

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The number 23 means 2 tens and 3 ones.

The place value of 23 refers to the position of each digit in the number and its corresponding value.

In the number 23, the digit 2 is in the tens place and has a place value of 2 x 10^1 or 20. The digit 3 is in the one's place and has a place value of 3 x 10^0 or 3.

So, the number 23 means 2 tens and 3 ones.

It's important to note that the place value system is a way of representing numbers using digits and it's based on powers of 10. The ones place is 10^0, the tens place is 10^1, the hundreds place is 10^2, and so on.

Therefore, The number 23 means 2 tens and 3 ones.

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The amount decreased by P35.50, so the new price of an LPG tank is P674.50.

Original Price of LPG Tank = P710

Decrease = 5%

Amount Decreased = 5% of P710 = 0.05 x 710 = P35.50

New Price of LPG Tank = P710 - P35.50 = P674.50

The price of an LPG tank has decreased 5% from its original price of P710. This means that the amount decreased is 5% of the original price, which is

0.05 x 710 = P35.50.

The new price of an LPG tank is

P710 - P35.50 = P674.50.

This is because when the amount decreased is subtracted from the original price, the new price is obtained. Therefore, the price of an LPG tank has decreased by P35.50, and the new price of the tank is P674.50. This decrease in price is beneficial to consumers, as they can now purchase the tank at a lower price.

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The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.

The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.

Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.

By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.

The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random  number between 5 and 11 from the range of 1 to 15.

Number of events = 7

Total events = 15

Probability =  7/15

Probability = 0.46

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