The graph shows the cost of some taxi journeys

work out a formula for c in terms of n

Answers

Answer 1
Final answer:

To create the formula, identify the relationship between cost and number of journeys from the graph. Assume a simple linear function y = mx + b. Calculate the slope (rate of cost per journey) and y-intercept (initial or fixed cost) to find final equation: c = mn + b.

Explanation:

In order to work out a formula for c (cost) in terms of n (number of journeys), we need to understand the relationship between these two variables. From the graph, we can make the assumption that this relationship is linear, suggesting a simple algebraic formula of the form y = mx + b, where y is the dependent variable (cost), x is the independent variable (number of journeys), m is the slope of the line and b is the y-intercept.

To establish our formula, we need to calculate the slope and y-intercept. The slope is found by taking the change in y over the change in x (the 'rise' over 'run'). The y-intercept is the cost (c) when the number of journeys (n) is zero.

Once these quantities are determined from the graph, your formula could look like: c = mn + b, where m is the slope (change in cost per journey) and b is the cost for zero journeys (fixed cost).

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Related Questions

find the product and show your work 34,879 x 10 =

Answers

Answer:

34,879 × 10 = 348,790

Step-by-step explanation:

The answer is 348,790 because 34,879 multipled by 10 is 348,790 as shown in the picture above ^^

Answer:

348790

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 348790 [three forty-eight thousand, eight hundred seventy-nine].

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Estimate of sum 1.5 and 6.8

Answers

Answer: 8.3

Work:

Sum = Addition

So, 1.5+6.8=__

We know that 1+6= 7

And .5+.8= 1.3 (5+8=13 so 1.3)

And 1.3+7=8.3

Answer is 8.3

the second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.

Answers

Answer:

13 and 23

Step-by-step explanation:

create an equation to solve:

(2x-3) + x = 36

3x - 3 = 36 combine like terms

+3 +3 add 3 to both sides

3x = 39

3 3 divide both sides by 3

x = 13

13 is the first number

the 2nd number is 3 let than twice the first so we create and solve a new equation:

2x - 3 = ?

2(13) = ? substitute 13 from the

smaller number to solve

23 = the 2nd number

Jack birthday is in 6 weeks how many day is it until jacks birthday? Complete the explanation on how you could use a number line to solve. I would draw_equal jumps of _beginning at 0 on the number line. The jumps end at _

Answers

Answer:

42 days

Step-by-step explanation:

1 week equals 7 days

7 × 6 = 42

Which expression is equivalent to 28(15+9) ?
28 + 15 x 28 +9
28 x 15 +9
28 + 15 + 28 +9
28 x 15+28 x 9

Answers

The answer is the second option, 28x15+9

The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.

To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:

Step 1: Simplify inside the parentheses: 15 + 9 = 24.

Step 2: Multiply by 28: 28 x 24.

Now, let's break it down further:

Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.

28 + 15 x 28 +9: Incorrect, this misinterprets the operations.28 x 15 +9: Incorrect, this does not distribute multiplication correctly.28 + 15 + 28 +9: Incorrect, this is simply adding all terms.28 x 15 + 28 x 9: Correct, this distributes the multiplication as required.

Therefore, the equivalent expression is Option D.  28 x 15 + 28 x 9.

Complete question:

Which expression is equivalent to 28(15+9) ?

A. 28 + 15 x 28 +9

B. 28 x 15 +9

C. 28 + 15 + 28 +9

D. 28 x 15+28 x 9

If 2x+1=5, then r=2.
Identify the inverse of the conditional statement.

If x=2, then 2x+1=5.
If 2x+15, then x =2.
If 2x +1+5, then x#2.
If x#2, then 2x+1+5.

Answers

Answer:

if x=2 (r) then 2x+1=5

Step-by-step explanation:

Considering an "if and if only" type of function then the answer is A. if x=2 then 2x+1=5

Kim's age is twice that of her sister when you add Kim's age to her sisters age to get 24 how old is each sister

Answers

Kim is 16 and her sis is 8 because 8+8 equals 16 and 8+16 equals 24

The slope of the line below is -1/7. Write a point slope equation of the line using the coordinates of the labeled point

Answers

Answer:

D. y - 3 = -⅐(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs.

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Equation of line is  [tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

Formula for finding Equation of line?

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

where [tex](x_{1},y_{1})[/tex] are coordinates and m is slope.  

How to solve?

Given:- Coordinate  (3,3) and slope [tex]\frac{-1}{7}[/tex]

Equation of line:

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

given  : [tex]x_{1} = 3 , y_{1} = 3 , m = -\frac{1}{7}[/tex]

substituting values, Equation of line is:

y - 3 = [tex]-\frac{1}{7}[/tex] ( x - 3)

[tex]y = - \frac{x}{7} + \frac{3}{7} + 3[/tex]

[tex]y = -\frac{x}{7} + \frac{24}{7}[/tex]

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The polygon below is an irregular pentagon.

Answers

Answer:

○ D) Need more information

Step-by-step explanation:

We do not have have enough angle measures to know how to solve this, although each interior angle in a pentagon is 108°.

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13) zy + 4y; use y=5, and z=2

Answers

Answer:

30

Step-by-step explanation:

Substitute the given values for y and z into the expression

zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30

Answer:30

Step-by-step explanation:2x5+4x5=30

consider the graph below. Which of the following coordinates belong in the box?

Answers

I think it’s b my guess

Answer:

Option b) (-26,-5)

Step-by-step explanation:

We are given the following information in the question.

The x-coordinate changes from -21 to-16. Thus its value increases 5 units.

The y -coordinate changes from -9 to -13. Thus, it decreases by a value of 4 units.

So to obtain the coordinates in the box:

x-coordinate

We decrease 5 units from -21 that is -21 - 5 = -26

y- coordinate

We add 4 units to -9 that is -9 + 4 = -5

So, the coordinates in the box is given as:

Option b) (-26,-5)

What fraction represents 0.1875 ft?

Answers

Answer:

There is not much that can be done to figure out how to write 0.1875 as a fraction, except to literally use what the decimal portion of your number, the .1875 , means. Since there are 5 digits in 1875 , the very last digit is the "100000th" decimal place. So we can just say that .1875 is the same as 1875/100000.

Step-by-step explanation:

Answer:

fraction decimal

3/16   0.1875

hope this helps :3 & sorry if its wrong

Hong traveled 37.9 miles each day for the past 6 days. How many miles did he travel in all?

Answers

Answer:

227.4 miles

Step-by-step explanation:

If Hong travelled 37.9 each day, then in 6 days :

37.9 × 6 = 227.4 miles

Answer:

227.4 miles  hope this helps :3

Find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope intercept form. (3,4) and y= -4/9x-3

Answers

Answer:

Step-by-step explanation:

To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9.  The slope of the new line is thus 9/4.

Now we have this data to work with:  m = 9/4, y = 4 and x = 3.  Subbing this info into y = mx + b, to obtain the value of b, we get:

4 = (9/4)(3) + b, or

4 = 3/4 + b.  Thus, b = 3  1/4, or b = 13/4.

The desired equation is

y = (9/4)x + 13/4.

Mary wants to make cookies. To make cookies she needs half a cup of flour per batch of cookies. If Mari has 5 cups of flour how many batches can Mari make?

Answers

10!

There's two halves in a whole. So we could do 5 x 2 to get our answer. Hope this helps!

1. Write 306,000,004,210 in words.​

Answers

Three-hundred-six-billion four-thousand two-hundred ten

Answer:

three hundred and six billion, four thousand, two hundred and ten

How do I solve the rest of this problem?

Answers

Answer:

Step-by-step explanation:

continuing from the 3rd line....

10x - 1 = 10x + 8     (subtract 10x from both sides)

10x - 10x - 1 = 10x -10x + 8

-1 = + 8   (this last line is not part of the solution but i'm showing it here so you can see what is going on, obviously -1 cannot be 8)

Since   -1  ≠ 8, the equation has no (i.e zero) solutions

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent
the price of the shirt and y represent the price of the pants. Write an equation
that can be used to find the price of the shirts and pants.
Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.
Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the price of the pants and shirts.

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

[tex]3x+2y=300[/tex]

This is the equation of the line in standard form

Convert to slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y

[tex]3x+2y=300[/tex]

subtract 3x both sides

[tex]3x+2y-3x=-3x+300[/tex]

[tex]2y=-3x+300[/tex]

Divide by 2 both sides

[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

[tex]Ax+By=C[/tex]

The x-intercept is C/A

we have

[tex]3x+2y=300[/tex]

so

[tex]300/3=100[/tex]

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

[tex]y=-1.5x+150[/tex]

For y=0

[tex]0=-1.5x+150[/tex]

solve for x

[tex]1.5x=150[/tex]

[tex]x=\$100[/tex]

The x-intercept is the point (100,0)

Answer:

you should give the person who first answered this brainliest

Step-by-step explanation:

y=3x-5 complete missing value in the solution to the equation (1,_) i cant find the second point

Answers

[tex]\bf y = 3x - 5\qquad \qquad \boxed{(\stackrel{x}{1}~~,~~\stackrel{y}{?})}\qquad \qquad y = 3(\stackrel{x}{1})-5\implies y = -2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (1,-2)~\hfill[/tex]

Solve the equation for y. yp+yn=x

Answers

This is tricky because it has a lot of variables, but we just have to treat this problem normally.

[tex]yp+yn=x[/tex]

separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)

[tex]y(p+n)=x[/tex]

divide p + n on both sides

[tex]y = \frac{x}{p+n}[/tex]

Answer:

[tex]y = \frac{x}{p+n}[/tex]

To solve the equation yp + yn = x for y, factor out y to get y(p + n) = x, then divide both sides by (p + n) to isolate y, resulting in y = x / (p + n).

To solve the equation yp + yn = x for y, you need to factor y out of the left side of the equation.

This gives you y(p + n) = x.

To isolate y, you then divide both sides of the equation by (p + n), assuming p + n
eq 0, to get y = x / (p + n).

What is the slope of a line parallel to the line x = 5?

Answers

Answer:

Undefined

Step-by-step explanation:

The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!

I am thinking of a number.Multply my number 5 and add 13

Answers

Hey!

-----------------------------------------------

[tex]\boxed{ \bf 5n~+~13}[/tex]

-----------------------------------------------

Solution:

Number = n

Multiply a number and five: 5n

Add thirteen: + 13

End Result: 5n + 3

-----------------------------------------------

Hope This Helped! Good Luck!

i need the answer on number 8

Answers

Answer:

van: 18

bus: 59

Step-by-step explanation:

x: students per van

y: students per bus

Highschool A:

x + 6y = 372 / *(-2)

Highschool B:

4x + 12y = 780

-2x - 12y = - 744

2x = 36

x = 18

Replace x in 1 equation

18 + 6y = 372

y = 59

7. Triangle RPQ is similar to triangle WPV. Find the missing length PW.

Answers

Answer:

PW = 11

Step-by-step explanation:

Given that the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{RQ}{WV}[/tex] = [tex]\frac{RP}{PW}[/tex] ← substitute values

[tex]\frac{12}{6}[/tex] = [tex]\frac{22}{PW}[/tex] ( cross- multiply )

12PW = 132 ( divide both sides by 12 )

PW = 11

If your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day. Then, your target is to consume what percent of the calories you are consuming?

Answers

Your answer should be approximately 78%

Answer:

32%

Step-by-step explanation:

We have been given that your target number of calories is 1700 per day to lose weight, but you are consuming 2500 calories per day.

First of all, we will find number of calories you should eat to lose weight by subtracting 1700 calories from 2500 calories.

[tex]2500-1700=800[/tex]

Now, we will find 800 is what percent of 2500.

[tex]\frac{800}{2500}\times 100=0.32\times100=32\%[/tex]

Therefore, your target should be consume 32% of the calories, you are consuming.

Jessica and Riley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping
paper or holiday wrapping paper. Jessica solf 5 rolls of plain and 13 rolls of holiday wrapping paper for a total
$272. Ryan solf 11 rolls of plain and 16 rolls of holiday wrapping paper for a total $359. What is the cost of one
roll of plain wrapping paper and one roll of holiday wrapping paper?

Answers

Answer:

Cost of one roll of plain wrapping: [tex]\$5[/tex]

Cost of one roll of holiday wrapping paper:  [tex]\$19[/tex]

Step-by-step explanation:

Let be "p" the cost in dollars of one roll of plain wrapping paper and "h" the cost in dollars of one roll of holiday wrapping paper.

Based on the information given, we can set up this system of equations:

[tex]\left \{ {{5p+13h=272} \atop {11p+16h=359}} \right.[/tex]

In order to solve it, we can use the Substitution method. The steps are:

1. Solve for "p" from the first equation:

[tex]5p+13h=272\\\\5p=272-13h\\\\p=\frac{272-13h}{5}[/tex]

2. Substitute the above into the second equation and solve for "h":

[tex]11(\frac{272-13h}{5})+16h=359\\\\598.4-28.6h+16h=359\\\\-12.6h=359-598.4\\\\h=\frac{-239.4}{-12.6}\\\\h=19[/tex]

3. Substitute the value of "h" into [tex]p=\frac{272-13h}{5}[/tex]:

[tex]p=\frac{272-13(19)}{5}\\\\p=5[/tex]

Which expression is equal to [tex]2\sqrt{-27}[/tex] ?




−6i3√

63i−−√

6i3√

−63√

Answers

Answer:

6i3√ or 6i√3

Step-by-step explanation:

it takes away the - it is a trick question

Using root properties and complex numbers, it is found that the equivalent expression is:

[tex]6i\sqrt{3}[/tex]

----------------------------------

The most widely used definition in complex numbers is:

[tex]i^2 = -1 \rightarrow \sqrt{-1} = i[/tex]

The expression is:

[tex]2\sqrt{-27} = 2\sqrt{3 \times -9} = 2\sqrt{3 \times 9 \times -1}[/tex]

Applying the property:

[tex]2\sqrt{3 \times 9 \times -1} = 2\sqrt{3}\sqrt{9}\sqrt{-1} = 6i\sqrt{3}[/tex]

[tex]6i\sqrt{3}[/tex] is the equivalent expression.

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2(48)+2(8w)+2(6w)=208 please explain

Answers

Answer:

w=4

Step-by-step explanation:

2(48)+2(8w)+2(6w)=208

1) Start by Distributing the value outside of the parenthesis:

96+16w+12w=208

2) Combine alike terms:

96+28w=208

3) Subtract 96 from both sides:

28w=112

4)Divide both sides by 28 to isolate w:

w=4

Let me know if you do not understand :)

700+a=3944-b=c-80=3000​

Answers

Answer:

A = 3244

B = 864

C = 3080

Step-by-step explanation:

 700 + a = 3944

 -700          -700

a = 3244

 3944 - b = c - 80 = 3000

c - 80 = 3000

  +80       +80

c = 3080

3944 - b = c ---> 3944 - b = 3080

                          -3944        -3944

                               -b = -864 --->  [tex]\frac{-b}{-1} = \frac{-864}{-1}[/tex]

The solution to the system of equations is:

a= 2380,

b= 864

c= 3080

The given equations are:

1. [tex]\(700 + a = 3944 - b\)[/tex]

2. [tex]\(3944 - b = c - 80\)[/tex]

3. [tex]\(c - 80 = 3000\)[/tex]

From equation 3, we can solve for [tex]\(c\)[/tex]:

[tex]\[c - 80 = 3000\][/tex]

Adding 80 to both sides:

[tex]\[c = 3080\][/tex]

Now, substituting this value of [tex]\(c\)[/tex] into equation 2:

[tex]\[3944 - b = 3080\][/tex]

Solving for [tex]\(b\)[/tex] :

[tex]\[b = 3944 - 3080\]\\b = 864\][/tex]

Finally, substituting the values of [tex]\(b\)[/tex] and [tex]\(c\)[/tex]  into equation 1:

[tex]\[700 + a = 3944 - 864\]\\700 + a = 3080\][/tex]

Solving for [tex]\(a\)[/tex]:

[tex]\[a = 3080 - 700\]\\a = 2380\][/tex]

So the solutions for the variables are [tex]\(a = 2380\), \(b = 864\), and \(c = 3080\)[/tex].

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How many times larger is 400 than 4

Answers

Answer:

It's 100x bigger.

Step-by-step explanation:

I divided 400 by 4 and got 100.

To check the work, you multiply 100 by 4.

The number 400 is 100 times greater than 4 when we divide the number 400 by 4.

What is a fraction?

The fraction is defined as the division of the whole part into an equal number of parts. The fraction is defined as the representation of one number with respect to the other number. or one number is how many times the other number.

Given numbers are 400 and 4. To calculate the times divide the number 400 by 4. The division will be done as below:-

Divison = 400 / 4

Division = 100

Therefore, the number 400 is 100 times greater than 4.

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