the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.

The Graph Shows The Cost Of Some Taxi Journeys. Work Out A Formula For C In Terms Of N.

Answers

Answer 1

Given:

The graph of cost of taxi with respect to number of miles.

To find:

The formula for C in terms of n.

Solution:

In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).

From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]

[tex]y-3=\dfrac{3}{5}(x)[/tex]

Adding 3 on both sides, we get

[tex]y=\dfrac{3}{5}x+3[/tex]

Putting y=C and x=n, we get

[tex]C=\dfrac{3}{5}n+3[/tex]

Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].

Answer 2

Answer:

c=3/5n+3

Step-by-step explanation:

The Graph Shows The Cost Of Some Taxi Journeys. Work Out A Formula For C In Terms Of N.

Related Questions

please help me out! determine the range of the following graph

Answers

Answer:

[-9,-4]

Step-by-step explanation:

The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.

This means the range is [-9,-4].

Brackets are used since -9 and -4 are seemingly included.

What is sin 28°?
I need help ASAP

Answers

Answer:

sin 28° = 8/17

Step-by-step explanation:

sin A = opp/hyp

sin 28° = 8/17

The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

Here, given that, a right angle triangle has hypotenuse = 17 units,

height = 8 units,

base = 15 units.

now, we have, the angle between hypotenuse and base is: sin 28°.

from trigonometry we know that,

sin A = opp/hyp

so, here, we get, sin 28° = height/hypotenuse

putting the values, we have,

sin 28° = 8/17

Hence, The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

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Help how do I do this?

Answers

The answer will be 2(x+5)(x+3). I hope this will be easier.

Answer:

THE ANSWER IS 9

bc you will distribute 2x+16-2 18÷2 =9

Is -8 a solution to the equation 8x +2=3x + 13

Answers

Answer:

No.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8x + 2 = 3x + 13

Step 2: Solve for x

Subtract 3x on both sides:                    5x + 2 = 13Subtract 2 on both sides:                      5x = 11Divide 5 on both sides:                          x = 11/5

Look at the photo pick A B C D either one explanation not needed thank you! <3

Answers

Answer:

B.4

Step-by-step explanation:

It's asking the absolute value even though -6 is used here. So the answer is 4.

What is 40% of 500? Please help!!

Answers

Answer:

40/100 times 500=200

Step-by-step explanation:

I needddd helpppppppp

Answers

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

All the questions are similar but I need help

2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x

3. Explain and correct the error made by a student who simplified this expression.
–2 + 7(x + 8)
5(x + 8)
5x + 40

4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y

Answers

Answer:

Step-by-step explanation:

2) They distributed an x out of the term with out one.  that is the 8

so the expression should be  5x +8

3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7  :O  very bad of them

the expression should be  7x + 54

4) They distributed out the y but didn't leave a 1 so the problem lost a term.

the expression should be -6x + 7y

will give brainly
show work

23-5•4-2(6-1)

Answers

Answer:-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

so you have to do PEMDAS

first parenthesis 6-1 is 5

then multiplication 5x4 is 20

the subtraction  23-20-2(5)

2x5=10

23-20=3

3-10=-7

Determine what regions make up the given probabilities - shade the Venn Diagram,​

Answers

I hope this helps :)

The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38

Work out the cost of a 2.4-metre length of cloth.

Answers

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5

andrew needs to call his 8 baseball teammates to make plans for a party at the end of the season if each call takes 5 minutes how much time will he spend making the calls?

A. 1/3 hour
B.40/100 hour
C.2/3 hour
D.3/4 hour

Answers

Answer:

C

Step-by-step explanation:

8*5=40 minutes

There is a total of 60 minutes.

So:

40/60 = 4/6 = 2/3

BRO I NEED HELP THIS DUE IN 4 MINS!

Answers

Answer:

440 computers in warehouse B

Step-by-step explanation:

1030=A+B

A=b+150

replace the formula.

a=b+150

so replace the "a"+b=1030

so then it'd be b+150+b=1030

now that's easy.

2b+150=1030

-150       -150

2b=880

/2      /2

b=440

one third of a land is on maize, a fifth of the remainder is on potatoes and the rest which is 0.5 ha is on beans. how much of the land is on potatoes?

Answers

Answer: [tex]1250\ m^2[/tex]

Step-by-step explanation:

Let x= Total land.

Then for Maize = [tex]\dfrac{x}{3}[/tex]    

For Potatoes = [tex]\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x[/tex]

For beans = [tex]x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha[/tex]

[tex]\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha[/tex]

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes = [tex]\dfrac{2}{15}(9375) =1250\ m^2[/tex]

Hence, [tex]1250\ m^2[/tex] of the land is on potatoes.

30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.

Answers

Answer:

B and D (another answer but not sure about the other one)

Answer: A and B

Step-by-step explanation: I just did it

Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.

Answers

Answer:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

Step-by-step explanation:

Given

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

Reflection: [tex]y = x[/tex]

Required

Determine the coordinates of G'H'I'

The following applies when a line A is reflected over [tex]y = x[/tex]

[tex]A = (x,y)[/tex]

[tex]A' = (y,x)[/tex]

i.e, we simply swap the positions of x and y

So, for:

[tex]G = (4,1)[/tex]

[tex]H = (5,-4)[/tex]

[tex]I = (2,-8)[/tex]

The reflections are:

[tex]G' = (1,4)[/tex]

[tex]H' = (-4,5)[/tex]

[tex]I = (-8,2)[/tex]

See attachment

The table represents a Linear function, what is the slope of the function?

Answers

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

What is eight and two ninths subtracted by 2 and seven ninths

Answers

Answer:

5 4/9

Step-by-step explanation:

8 2/9 - 2 7/9

Converting the numbers from mixed Fraction :

(74/9 - 25/9)

L.C.M = 9

(74 - 25) / 9

= 49 / 9

= 5 4/9

Jimmy and Alex each have a CD collection. • The number of CDs in Jimmy's collection can be represented by x. • The number of CDs in Alex's collection is 4 times the number in Walter's collection. • The total number of CDs in both collections is 205. What is x, the number of CDs in Walter's collection?

Answers

Answer:

x = 41

And, the  number of CDs in Walter's collection is 41

Step-by-step explanation:

The computation is shown below;

Given that

The number of CDs in Jimmy collection = x

The number of CDs in Alex's collection = 4x

And, The total number of CDs in both collections is 205

So, the equation is

x + 4x = 205

5x = 205

x = 41

The alex collection is

= 4 × 41

= 164

So, the walter collection is

= 164 ÷ 4

= 41

5x + 24 + 5(x + 5)
HELP FAST

Answers

5x+24+5(x+5)

Distribute:

=5x+24+(5)(x)+(5)(5)

=5x+24+5x+25

Combine Like Terms:

=5x+24+5x+25

=(5x+5x)+(24+25)

=10x+49

Answer:= 10x+49

solve for x

10x =-49

10/10x -49/10

x= -4.9

Hope this helps

5x + 24 + 5 (x + 5)

5x + 24 (5x + 25)

(5x + 5x) + (24 + 25)

= 10x + 49

but if you have to solve for x

10x = 49

10/10 = 0
49/10 = 4.9
x = 4.9

At a six grade graduation celebration there are 80 students and 40 parents.What fraction of the ratio of students to the total number of people at the graduation

Answers

Answer:

2/3

Step-by-step explanation:

Given that:

Number of students = 80

Number of parents = 40

fraction of the ratio of students to the total number of people at the graduation

Total number of people at graduation =. (number of students + number of parents)

80 + 40 = 120

Number of students : total people

80 : 120

80/120 = 8/12 = 2/3

Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described

Answers

What is the greatest possible number of stops she
made at traffic lights? Answer: 3

The graph of a linear system is shown.
y
5
7-6-5-4-3-2-1,
2 3 4 5 6 7 8
What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answers

Answer:

(-1, 7)

Step-by-step explanation:

From the graph attached,

There are two lines representing the system of linear equations.

Solution of two linear equations is represented by a common point or point of intersection on the graph.

Point of intersection of the linear system of equations given in the graph → (-1, 7)

Therefore, solution of the linear system is (-1, 7).

Assuming that any skirt can be paired with any blouse, in how
many ways can Anna select her outfit? List the possibilities.

Answers

Don’t Ok ehhdhdh be vv

how to solve using Substitution or Elimination??? Help!!!
y=3x-1

y=2x+2

Answers

The answer is x=3 and y=8, here’s the work—


Y=3x-1
Y=2x+2
2x+2=3x-1
2=x-1
X=3

3(3)-1=y
9-1=y
8=y

Answer:

x=3

y=8

Step-by-step explanation:

the given equations are y=3x-1 --------(1)

and y=2x+2---------(2)

Using substitution method,

and solving y=3x-1

y+1=3x

or y+1/3 =x ------(3)

Putting the value of x= y + 1 / 3 in equation 2

y= 2x+2

or, y = 2 ( y + 1/3) +2

or, y= 2y + 2 / 3 +2

or, y = 2y + 2 + 6 // 3 ( Taking LCM)

Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)

OR, 3 Y - 2Y =6 PLUS 2

or y = 8

therefore, y=8

now substituting the value of y=8 in equation (3)

y + 1 /3 = x

or ,,, 8 plus 1 by 3 =x

or,,,,, 9 by 3 =x

Therefore, x is 3

PLS HELP

(the second page has the options)

Answers

The 3rd answer because -3 is the smallest y intercept
The answer is C , the person above is correct!!

Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2

D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32

Answers

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

Learn more about simplification here:

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Eduardo attends a slime convention in Louisville, Kentucky. He buys a watermelon slime for $9.00 and a waffle slime for $8.50. Louisville’s sales tax is 6%.


What is the sales tax on this purchase?


If necessary, round the amount of tax to the nearest 100th.

A: Not Here
B: $1.10
C: $1.05
D: $10.50

Answers

I believe the answer is C! 8.5+9= 17.5, and then you multiply 17.5 by 0.06 and get 1.05. I hope this helps! :)

Answer:

1.05 dollars will be ur answer ;)

Step-by-step explanation:

Find the relation and solve the answers. Options are given below. ​

Answers

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          [tex]{}[/tex]      = 7

Bottom left number divided by 3 gives 21/3   [tex]{}[/tex] = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          [tex]{}[/tex]      = 9

Bottom left number divided by 3 gives 6/3   [tex]{}[/tex]  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          [tex]{}[/tex]      = 4

Bottom left number divided by 3 gives 15/3   [tex]{}[/tex] = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

Help me please ASAP!

Answers

Answer:

Choice 1

Choice 4

Choice 5

Step-by-step explanation:

For this one you just have to plug in the x in every equation and solve it. If the answer is true it's true, but if it's false it's false.

Let's solve each of these...

Number 1:

[tex]9-3x=0\\9-3(3)=0\\9-9=0\\0=0[/tex]

As you can see 0 does equal itself so this one is true.

Number 2:

[tex]3x+1=9\\3(3)+1=9\\9+1=9\\10\neq9[/tex]

10 does not equal 9 so this one would be false.

Number 3:

[tex]5x-7=1\\5(3)-7=1\\15-7=1\\8\neq1[/tex]

This one is also false.

Number 4:

[tex]2x+4=10\\2(3)+4=10\\6+4=10\\10=10[/tex]

This one is true.

Number 5:

[tex]\frac{x}{3}+5=6\\\frac{(3)}{3}+5=6\\1+5=6\\6=6[/tex]

This one is true.

Number 6:

[tex]\frac{9}{x}-1=4\\\frac{9}{(3)}-1=4\\3-1=4\\2\neq4[/tex]

This one is false.

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