585÷3 long división please

Answers

Answer 1

From the problem, we have :

\(585\div3\)

Divide the first digit which is 5 by 3 and take the whole number.

That will be :

5/3 = 1.667..

So it is 1.

Write 1 above the digit 5.

Multiply 1 by 3 and subtract from 5.

That will be :

1 x 3 = 3

5 - 3 = 2

Write 3 below the digit 5 and perform subtraction.

Bring down the next digit which is 8.

Divide 28 by 3 and take the whole number.

That will be :

28/3 = 9.33..

So it is 9

Write 9 above the digit 8.

Multiply 9 by 3 and write the result below 28.

That will be :

9 x 3 = 27

Divide 15 by 3.

That will be :

15/3 = 5

Write 5 above the digit 5.

Then perform subtraction, that will be :

28 - 27 = 1

Bring down the next digit which is 5.

Multipl 5 by 3. That will be :

5 x 3 = 15

Write 15 below 15 and perform subtraction.

15 - 15 = 0

Since the result is 0, there is no remainder.

ANSWER :

The quotient is 195

5853 Long Divisin Please

Related Questions

solve P=2M+2M for G

G=?

Answers

G=P-2M/2

Step-by-step explanation:

P=2G+2M

p - 2M = 2G

G=P - 2M/2

Jiafei is filling her cvm jar 50%. How much cvm is in the jar if the capacity is 1 liter?

Answers

Answer: 0.5 liter

Step-by-step explanation:I don’t know if this is right please don’t give me a bad review if not I think it is 0.5 liter

the correct answer is half of one liter of cvm

What are the coordinates of your new IMAGE A’B’C’?

A’=____
B’=____
C’=____

Answers

Answer:

Sensor Calibration

Convert between coordinate systems of every sensor, image, vehicle and global coordinate axis system. So data from a sensor can be mapped globally.

Calibration of a camera helps to convert a pixel in an image to

Computer Vision

Step-by-step explanation:

Find the area of the isosceles triangle.

20 cm
20 cm
32 cm

Answers

Answer:

20 cm

Step-by-step explanation:

just a guess since there isn't a pic

Write the equation in standard form of the line that passes through (3, 1) and has a y-intercept of (0, -2).​
SHOW YOUR WORK

Answers

Answer:

-x + y = - 2

Step-by-step explanation:

Standard Form of the Line

The equation of a line can be written in standard form:

Ax + By = C

To find the values of A, B, and C, we must use the point-slope form:

y - k = m(x - h)

Where m is the slope and (h,k) is one point where the line passes through.

Let's calculate the slope by using the given points (3,1) and (0,-2):

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

\(\displaystyle m=\frac{-2-1}{0-3}=1\)

Now find the equation by using the point (0,-2):

y + 2 = 1(x - 0)

y = x - 2

Subtracting x:

- x + y = - 2

which expressions are equivalent to 3^4/9/3^2/9? select all that apply

which expressions are equivalent to 3^4/9/3^2/9? select all that apply

Answers

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Evaluate the expression when m=25 and n=2

Answers

Answer:

what the expression, lmk in comments and then i will help you :)

Step-by-step explanation:

A travel company had a contest, and Bree won a trip to seven countries. The rules are that Bree mist visit the countries in the order told to her by the travel company, but she can decide to skip visiting any of the countries except the first one. So, Bree can visit a total of 1,2,3,4,5,6 or 7 countries. In how many ways can Bree organize her trip?


QUICK I NEED HELP AS SOON AS POSSIBLE

Answers

Answer:

  64

Step-by-step explanation:

You want to know the number of ways Bree can choose to visit any or all of the remaining 6 countries on a trip to (possibly) seven countries when the order is specified.

Choices

Bree's itinerary will be of the form ...

country 1country 2 – or notcountry 3 – or notcountry 4 – or not ...country 7 – or not

At each point in Bree's trip, she can make a choice to visit the country, or not. That is, there are 2 possibilities of outcome for each of 6 choices.

The total number of possibilities is ...

  1 × 2 × 2 × 2 × 2 × 2 × 2 = 64

Bree can organize her trip in any of 64 different ways.

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You borrow $200 from a friend. You repay the loan in 2 weeks and agree to pay $8 for interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent

Answers

It is given that Borrowed money= is $200, Interest= is $8, and Time =2 weeks.

We need to find the annual percentage rate.

\(2\text{ we}eks=14\text{ days}\)\(1\text{ year=365 days}\)\(\text{Time =}\frac{14}{365}\text{ days}\)

Recall the formula for the simple interest formula

\(Simple\text{ interest}=P\times\frac{r}{100}\times t\)

Substitute P=$200, simple interest=$8, and t=14/365, we get

\(8=200\times\frac{r}{100}\times\frac{14}{365}\)

\(8=0.767\times r\)

\(\frac{8}{0.767}=r\)

\(r=10.43\text{ \%}\)

Hence the annual interest is 10.4 %.

you ask 55 of your classmates if they have any siblings. complete the two way frequently table to shows the results of the survey.construct the two way frequently table.

you ask 55 of your classmates if they have any siblings. complete the two way frequently table to shows

Answers

The total number of students is 55.

That means the total at the bottom of the "Total" column is 55. This means if you have a total of 25 boys, the "Boys" column should have, 15 and 10 (which totals 25).

The row for girls has 25 in row 2, this means Row 2 for boys and girls should have 25 and 10, and that means the second row under "Total" is 35.

Also, row 1 for "Girls" should be 5, since the total in row 1 is 20 and boys in row 1 is 15. Therefore, total for "Girls" should be 5 and 25, which is 30.

Therefore, the missing numbers are;

GIRLS

5

25

30

BOYS

15

10

25

TOTAL

20

35

55

Is it possible to have 5 Jacks in a standard deck of cards?

Answers

Answer:

no

Step-by-step explanation:

each standard deck of cards have 4 of each.

write a linear equation in slope-intercept form. slope=1/2 and y-intercept= -6

Answers

Answer:

y=1/2x-6

Step-by-step explanation:

Slope intercept form is y=mx+b so plug it into the equation and it is y=1/2x-6.

Answer:

y=1/2-6

Solution:Since we're given the line's slope and y-intercept, we can easily determine its equation.Remember, slope-intercept looks like so: y=mx+bIn this formula, the letter "m" stands for the slope, and "b" stands for the y-intercept.Therefore, the line's equation is:y=1/2-6

Hope it helps.

Do comment if you have any query.

There are 143 boys in the senior class. 21 wrestle. 27 play football. 104 do not do either. What is the probability that a senior boy does both football and wrestling? boys play both.​

Answers

Therefore, the probability that a senior boy does both wrestling and football is approximately 0.063 or 6.3%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. The probability of an event can be determined by calculating the ratio of the number of favorable outcomes to the total number of possible outcomes.

Here,

Let A be the event that a senior boy wrestles, and B be the event that a senior boy plays football. Then, we want to find P(A and B), the probability that a senior boy does both wrestling and football. We know that there are 143 senior boys in total, 104 of whom do not do either wrestling or football. Therefore, the number of boys who do at least one of the two sports is:

N(A or B) = N(A) + N(B) - N(A and B)

= 21 + 27 - N(A and B) (since we don't know N(A and B))

= 48 - N(A and B)

We also know that N(A or B) = 143 - 104 = 39.

Therefore, we can solve for N(A and B):

N(A and B) = 48 - N(A or B)

= 48 - 39

= 9

So there are 9 senior boys who do both wrestling and football.

Finally, we can find the probability that a senior boy does both sports by dividing N(A and B) by the total number of senior boys:

P(A and B) = N(A and B) / N(total)

= 9 / 143

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Please show work and thank you

Please show work and thank you

Answers

Answer:

  x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

  1 : 1 : √2

__

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

  x = (√2)×3√2 = 3×2

  x = 6

The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?

Answers

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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The Department of Highway Improvements, responsible for repairing a 25-mile stretch of interstate highway, wants to design a surface that will be structurally efficient. One important consideration is the volume of heavy freight traffic on the interstate. State weigh stations report that the average number of heavy-duty trailers traveling on a 25-mile segment of the interstate is 72 per hour. However, the section of highway to be repaired is located in an urban area and the department engineers believe that the volume of heavy freight traffic for this particular section is greater than the average reported for the entire interstate.
To validate this theory, the department monitors the highway for 50 1-hour periods randomly selected throughout the month. Suppose the sample mean and standard deviation of the heavy freight traffic for the 50 sampled hours are:
Sample mean = 74.1 standard deviation = 13.3
a) Do the data support the department's theory? Use α = 0.10 to come to a conclusion based on a large sample test.

Answers

Answer:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Step-by-step explanation:

Information provided

\(\bar X=74.1\) represent the sample mean

\(s=13.1\) represent the sample standard deviation

\(n=50\) sample size  

\(\mu_o =72\) represent the value that we want to test

\(\alpha=0.1\) represent the significance level

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 72\)  

Alternative hypothesis:\(\mu > 72\)  

The statistic is given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing the info we got:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Please answer B only 25 points
Ty

Please answer B only 25 pointsTy

Answers

1) P = 10, Q = 3
2) P= 9, Q = 2
3) P = 8 Q = 1

Erika drives from school to soccer practice 1.3 miles away. It takes her 7 minutes.
a.
b.
C.
d.
What fraction represents her constant speed, C?
What fraction represents her constant speed, C, if it takes her x minutes to drive exactly 1 mile?
Write a proportion using the fractions from parts (a) and (b) to determine how much time it takes her to drive
exactly 1 mile. Round your answer to the tenths place.
Write a two-variable equation to represent how many miles Erika can drive over any time interval.

Answers

a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

How to determine the value

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Total distance = 1. 3milesTime taken = 7 minutes

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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If y = 3x+5 when x= -10 what is the value of y

Answers

Answer:

\(y = 3x + 5 \\ y = ( 3 \times - 10 )+ 5 \\ y = - 30 + 5 \\ y = - 25\)

Answer:

\(y=-25\)

Step-by-step explanation:

Substitute x = -10 into the equation:

\(y=3(-10) + 5\)

Multiply:

\(y=-30+5\)

Add:

\(y=-25\)

Identify the expressions that correctly model the distance between a point located at (-2,3) and the point (x,y). Select all the apply

Identify the expressions that correctly model the distance between a point located at (-2,3) and the

Answers

The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

What is distance between two points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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There are 300 bricks used to build a wall that is 18 feet high how many bricks will be used to build a wall that is 90 feet high

Answers

The number of bricks that can be used to build 90 feet high wall is 1500 bricks.

How to find the number of bricks that will be used to build 90 feet high wall?

There are 300 bricks used to build a wall that is 18 feet high.  The number of bricks that will be  used to build a wall that is 90 feet high wall is as follows:

Hence,

18 feet height = 300 bricks

90 feet height  = ?

cross multiply

number of bricks to build 90 feet high wall = 90 × 300 / 18

number of bricks to build 90 feet high wall = 27000 / 18

number of bricks to build 90 feet high wall = 1500 bricks

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I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!
A. The typical value and the spread are both greater in set B. B. The typical value and the spread are both greater in set A. C. The typical value is greater in set B. The spread is greater in set A. D. The typical value is greater in set A The spread is greater in set B.​

I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!! A. The typical value and the spread are both greater in set

Answers

Answer:

D. The typical value is greater in set A. The spread is greater in set B.​

Step-by-step explanation:

     The typical value is greater in set A.

[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.

     The spread is greater in set B.​

[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.

Answers

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

Answers

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Enter
A bottle contains 4 1/2 cups of juice. One serving of the juice
is 2/3 cup. How many servings are in the bottle?

Answers

The answer is 6. Skshehnebehehdbd

Answer:

6.75 servings.

Step-by-step explanation:

Do beavers benefit beetles? Researchers laid out 23 circular plots, each 4 meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so that beetles prefer them. If so, more stumps should produce more beetle larvae. The table contains the data 2 213 3 4 3125 10 30 12 24 36 40 43112756 18 40 2 1 2 2 11 4 12 1 25 8 2114166 5491314 50 13 Stumps Beetle larvae 4 Stumps Beetle larvae To access the complete data set, click the link for your preferred software format Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Analyze these data to see if they support the "beavers benefit beetles" idea. Follow the four-step process in reporting your work STATE: Choose the statement that best describes the goal of the research. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce a decrease in the response variable, the number of beetle larvae. The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce a decrease in the response variable, the number of tree stumps. Beetle larvae are the explanatory variable, and we expect an increase in beetle larvae to induce an increase in the response variable, the number of tree stumps. PLAN: Make a scatterplot of the data and examine the pattern. Choose the statement that best describes your findings: There is a weak negative linear relationship The relationship doesn't seem to be linear There is a positive linear relationship. There is a strong negative linear relationship SOLVE: Calculate the correlation for the data. Also calculate the slope and intercept of the regression line. Drag the correct answers to the appropriate bins Correlation Slope Intercept Answer Bank 1.286 11.89 0.839 1.661 0.916 3.452 -0.916 -1.286 CONCLUDE: Calculate the fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps. Enter your answer as a decimal rounded to three decimal places Which of the choices correctly describes whether the association supports the idea that beavers benefit beetles? Yes, the weak negative association supports the idea that beavers benefit beetles. Yes, the strong positive association supports the idea that beavers benefit beetles No, the strong negative association does not support the idea that beavers benefit beetles There is not enough information to tell No, the strong positive association does not support the idea that beavers benefit beetles.

Answers

.No, the strong negative association does not support the idea that beavers benefit beetles.

The solution is as follows:

The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.

There is a weak negative linear relationship.

Correlation is : -0.916; Slope: -1.286; Intercept: 3.452

The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.

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PLSSSS HELP ME ASAP I DONT UNDERSTAND THIS

Jon filled up the tank of his semitruck with 240 gallons of fuel and set out to deliver a shipment of vegetables. His truck uses an average of 0.15 gallons of fuel for each mile he drives. You can use a function to approximate the amount of fuel in Jon's tank after he drives x miles.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)^x.

PLSSSS HELP ME ASAP I DONT UNDERSTAND THISJon filled up the tank of his semitruck with 240 gallons of

Answers

Answer:

Step-by-step explanation:

Step 1: Understanding the Problem

The problem involves finding an equation to approximate the amount of fuel in Jon's semitruck after he drives x miles. Jon started with 240 gallons of fuel and his truck uses 0.15 gallons of fuel for each mile he drives.

Step 2: Writing the Equation

We know that the amount of fuel in Jon's tank decreases as he drives. So, we can write the equation as:

f(x) = 240 - 0.15x

This equation says that the amount of fuel in Jon's tank after he drives x miles is equal to 240 gallons (the amount of fuel he started with), minus 0.15 gallons for each mile he drives.

Step 3: Interpreting the Equation

The function f(x) = 240 - 0.15x is a linear equation, which means that it is a straight line on a graph. The value 240 is the y-intercept, which means that when x = 0, the y-value of the function is 240 (the amount of fuel in Jon's tank when he starts driving). The value -0.15 is the slope of the line, which tells us how much the y-value decreases for each unit increase in x (in this case, how much the fuel decreases for each mile Jon drives).

Step 4: Conclusion

So, the equation f(x) = 240 - 0.15x can be used to approximate the amount of fuel in Jon's semitruck after he drives x miles. The equation is linear and can be written in the form f(x) = mx + b, where m = -0.15 (the slope of the line) and b = 240 (the y-intercept).

Find CD if KD=x+1 And KC=2x-1

Find CD if KD=x+1 And KC=2x-1

Answers

Answer:

B) 2

Step-by-step explanation:

Is BK bisecting CD?

x + 1 = 2x -1  Subtract x from both sides

1 = x -1  Add 1 to both sides

2 = x

Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100​

Answers

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Historically, the course covering material and energy balances at many universities is challenging. Many students, however, are resilient. The historical data for Professor Testor's classes indicate that about 70% of the students (new students plus students who are retaking the course) pass the class. Of the students who do not pass, 75% register to take the class again the following semester. Round your answers to the following questions to the nearest integer. If 125 new students (students that have never taken the class before) register for the class each semester, what is the total number of students taking the class

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Answer:

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67

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