A rideshare service charges a flat fee of $6.00, plus $1.50 for every mile driven. Let t represent the total cost of the ride, and m represent the number of miles driven. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost for riding 3 to 10 miles.

Answers

Answer 1

Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

What is the dependent variable?

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

Write an equation representing this relationship:

t = $6 + ($1.50 x m)

Complete the table to show the total cost for riding 3 to 10 miles:

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)


Related Questions

(x+3)^2+4=46
what is the solution of this equation

Answers

Answer:

x = -3 + √42

Step-by-step explanation:

1) Expand the square

2) Distribute
3) Distribute

4) Distribute

5) Combine like terms

6) Add the numbers

7) Move terms to the left side

8) Subtract the numbers

9) Use the quadratic formula

10) Simplify

11) Separate the equations

12) Solve

Therefore, the solution of this equation is x = -3 + √42

Step-by-step explanation:

(x + 3)² + 4 = 46

(x + 3)² = 42

x + 3 = ±sqrt(42)

x = ±sqrt(42) - 3

x1 = sqrt(42) - 3 = 3.480740698...

x2 = -sqrt(42) - 3 = -9.480740698...

If you reflect point B(- 2, 5) over the y- axis, what is the reflected point ?

Answers

Answer:

(2,5)

Step-by-step explanation:

Since it is reflected across the y-axis only the x point will change and vise-versa

Find the product with the exponent in simplest
form. Then, identify the values of x and y.
X
1
3
6³.6
64 6
=
X ⇒7, y = 12/7
X ⇒12
x= 7/12
COMPLETE

7 , 12 are the answers

Answers

Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much longer is the yellow yarn?​

Answers

Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]

Answers

Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Find the vertex of the parabola y=x^2 + 5x + 10

Answers

The coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

What is the vertex of a parabola?

Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.

The given equation of parabola is [tex]y=x^2 + 5x + 10[/tex].

To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.

So, write the equation of parabola in its standard form as,

[tex]y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2[/tex]

The standard form of parabola is,

[tex]y-b=(x-a)^2[/tex] where (a, b) is the coordinate of the vertex.

So, by comparing the equations, the vertex of the parabola will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Therefore, the coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

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Bob walks dogs after school. He charges $43. 50 for 6 hours and $65.25.75 for 9 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Bob works
and y represent the amount he charges.

Answers

The equation of the amount charged by Bob will be y = 7.25x.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

Bob walks dogs after school. He charges $43. 50 for 6 hours and $65.25.75 for 9 hours.

The equation will be generated as follow:-

6 hours  =  $  43.50

1 hours   =  $  7.25

9 hours   =  $ 65.2575

1 hours    =  $ 7.25

Let x represent the number of hours Bob works and y represent the amount he charges. The equation will be:-

y  =  7.25x dollars.

Therefore the equation of the amount charged by Bob will be y = 7.25x.

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A pedestrian walks 7.4 kilometers west
and then 9.2 kilometers south.
What is the magnitude of the
pedestrian's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.

Answers

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]

If the diameter of the circle is 14 units, calculate its area: then calculate its circumference

Answers

Answer:  

Area: 153.86

Circumference: 43.96

What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5

Answers

Answer:4/3

4/3

Step-by-step explanation:

√343k please simplify this

Answers

Answer:

the answer of√343k is 18k

This table represents a proportional relationship between x and y.

x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?

Enter your answer as a decimal in the box.

ill give brainliest this is for k12

Answers

The table is an illustration of a linear table, and the constant of proportionality is 1.4

How to determine the constant of proportionality?

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

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Help please?????????

Answers

Both sets of sides are parallel
You start by setting the top and bottom equal to each other to define x
5x-18=2x+12
X=10
Then apply this 10 wherever x is needed
Therefore
AB=32
BC=24
CD=32
And because every opposite side is equal, AD=24
So for perimeter add them up
Answer is 112

Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below. Class A: 80, 82, 74, 92, 94 Class B: 82, 80, 88, 86, 82
What are the mean and range for each class ?
Class A- mean = 84.4 range = 14
Class B - mean = 83.6. range = 8

Using the information found in the question above which class mrs smith report had the more consistent performance on the unit test ?, explain what this means in terms of the situation

Answers

The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.

How to calculate the mean?

We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A  and the range of class B is also less then the class A.

It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.

In this case, the computation will be:

Class A: Mean = 422/5= 84.4.

Range: 94-74 = 20

Class B: Mean = 418/5 = 83.6.

Range= 88-80 = 8

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amusement on a particularly boring transatlanfic fight one of the authors am used himseft by counting the heads of the people in the seats in front of him. He noticed that all 37 of them either had black hair or had a whole row to themselves or both. Of this total 33 had black hair and 6 were fortunate enough to have a whole row of seats to themselves. How many black haired people had whole rows to themselves?

Answers

Bsnsidgw. E y uhh. Edifice. Wife e d

a line passes through the point (-9,1) and has a slope of 4/3. Write an equation in slope-intercept form for this line.

Answers

Answer:  y=4/3x+1

Step-by-step explanation:

The formula is Y=mx+b

b is the y-intercept and MX is slope

i need help finding the orignal price

Answers

I’m not the best at this but I’m pretty sure the original price is 140

solving system of equations by graphing.

Answers

Answer:

see attached image

Step-by-step explanation:

Fred figured out the volume of the glass is 141.37cm. Show work

Answers

To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

Volume of a Hemisphere

The volume of a hemisphere is given as

[tex]v = \frac{2}{3} * \pi * r^3[/tex]

Data

r = 3cm

Let's substitute the values into the equation and solve.

[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]

Volume of a Cylinder

The formula of volume of a cylinder is

[tex]v = \pi r^2 h[/tex]

data given

h = 3cmr = 3cm

Let's substitute the values into the equation and solve

[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]

Let's add both volumes together so we have the volume of the glass cup

[tex]56.556 + 84.834 = 141.39cm^3[/tex]

The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.

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Select the correct answer.
What is the range of this absolute value function?
y
-10
-10.
-8
9
N-
N
A
-6
-8
-10
10

Answers

A.Tells you where it goes from the y

Need help on this one please

Answers

y=4x+3 bc 3 means how far up the y axis you go. 4 determines how steep the slope is

Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of the epidemic, how many people have become ill?

Answers

Answer:

1875

Step-by-step explanation:

3x5 = 15

15x 5 = 75

75x 5 = 375

375 x 5 = 1875

1875 because at the end of the next week, which basically turns 8 weeks into 4, and the number of contaminants multiply by 5 each other week.

Which one geos first to last 3/4 or 1/3 or 5/8

Answers

3/4, 5/8 and 1/3(decreasing order)

A path in the park is 15 kilometers in. A trash bin is placed every 1/3 kilometers how many trash cans are along the path ?

Answers

45 trash cans. Hope that helps.

Choose ALL the numbers that round down when rounding to the nearest hundred! Is it!: 47,035, 3,140, 76,654, 1,298, 607,882, 8,560?

Answers

Answer:

The answer is:

the first one

second one

:D

Step-by-step explanation:

in this case, any number in the tens place less than five will make the number round down

4/8 plus 2/4 find the common denomnator

Answers

Answer:

The common denominator is 4.

Step-by-step explanation:

4/8 simplified is 2/4.

Therefore, we can now add them together.

2/4 + 2/4 = 1.

Hope this helps:) Goodluck!

1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m

Answers

Answer:

560

Step-by-step explanation:

16 times 5 times 4=320

6 times 16 divide 2 then multiple 5

Enter the number that belongs in the green box.

Answers

Answer:

The answer is x = 10.

Step-by-step explanation:

Two options:

1. Looking at the image it looks like a parallelogram. So, most side lengths are equal to each other or are the same.

2. We can use the Pythagorean Theorem to solve for x.

A lawn sprinkler sprays water 12 feet in every direction as it rotates. What is the area of the sprinkled lawn?

Answers

You could think of a circle with a radius of 12 feet.

Area=(pi) * r^2
=(pi) * 12^2
= (pi) * 144
=452.389 feet squared

Which polynomial function has a root of 1 with
multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x-6)
Of(x) = 2(x - 1)(x - 6)
Of(x) = (x - 1)(x - 1)(x-6)
O f(x) = (x - 1)(x-6)(x-6)

Answers

Answer:

C) f(x) = (x - 1)(x - 1)(x-6)

Explanation:

Multiplicity means number of times a factor appears in a particular equation.

For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)

Breakdown for this question:

If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²

Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)

Joining them together:

(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.

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