a taxi service charges an initial fee of $2.15 then charges $1.68 a mile. write a linear equation to model this situation.

Answers

Answer 1

The linear equation to model this situation is [tex]y=1.68x+2.15[/tex]

Linear Equation is defined as the equation having degree 1. Linear equation can be of one variable or two variable and so on...

For Example : x=5 is a linear equation in one variable.

x+y=6 is a linear equation in two variable.

Fixed charge= $2.15

Charge per mile=$1.68

Let the miles travelled by the taxi be "x'

So the total charge for "x" miles= [tex]1.68x[/tex]

Let the total charge = y

Total Charge = Fixed Charge + total Charge for "x" miles

[tex]y=2.15+1.68x[/tex]

Therefore , the linear equation to model the situation is [tex]y=2.15+1.68x[/tex]

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Related Questions

Laura drove 255 miles in 5 hours.at the same rate, how many miles would she drive in 8 hours

Answers

Answer:

Step-by-step explanation: 255/5=51 51x8= 408

A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer.

Answers

Answer:

1 day

Step-by-step explanation:

Cuz if 15 bears are made in 10 min you multiply by 60 cuz 60 min = 1 hour, so 15 times 60=900 then if the work 8 hr a day then u multiply 900 by 8 to get 7200 bears

The bake sale only sold two items. Cookies cost $2 and mini pies cost $5. Josie bought twice
as many cookies as pies and spent a total of $27. How many cookies did she buy?

Answers

she bought 11 cookies and 1 mince pie

Answer:

She bought 6 cookies and 3 mini pies.

Step-by-step explanation:

what is the inverse of the function f(x)=-1/2(x+3)

Answers

Answer:

2x +6

Step-by-step explanation:

NEED HELP ASAP ILL GIVE BRAINLIST
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?

Answers

Answer: the first one. the graph is right side up.

Answer:

fuffufufufufufufufufufufufufufuufufufufufufufufufufufufufufffuffuffuffuufufuf

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLIEST

Answers

Answer: Q= (-4,3) V= (-4,7) x=(-6,7)

Step-by-step explanation:

You earn $8.00 per hour. Worked 35.25 hours last week. What was you gross pay?

Answers

35.25 x 8 = 282

Your gross pay would be $282 this is not including taxes.

Answer:

two hundred eighty two dollars

What does the y-intercept of a line mean?

Answers

Answer:

It's the y value of the point where the line intersects the y- axis.

What is the value of x in the equation -3

Answers

Answer:

Step-by-step explanation:

hello have a good sunday

Answer:

???

there's no "x" in -3 so did you mean to write a larger equation...??

Step-by-step explanation:

please help! confused & tired :(

Answers

Answer:

8 feet

Step-by-step explanation:

Answer:

a=8 ft

Step-by-step explanation:

trying to find rise and the run

Answers

Answer: rise is 4 and run is 5

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

To find the rise over run, you need to pick a point that intersects one of the axises. Then, you need to find a point that intersects the other axis. Third, you find the first point and begin moving up or down until you reach the height of the other point. From there, you count along that height line until you reach the second point. The number from counting on the y axis is the rise and the number from counting on the x axis is the run. So, you take the rise and put it over the run.

Hope this helps! :)

calcaulate the reliability of the system if all components function properly with probability 0.95. [hint: a,b and c,d are not in sequel. start with parallel components!]

Answers

The reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and 0.80 is 0.99. The answer is option b.

What is reliability?

The probability that a specific object will carry out its intended function for a specific amount of time under a specific set of circumstances without experiencing any failures is known as reliability.

The reliability definition is based on four criteria: function, fulfillment likelihood, duration, and environment. Maintainability and reliability are related because when a machine or product malfunctions, there may be a way to get it back into working order.

When we use the phrase "talking reliability-smart," we mean that any of the aspects that shape the device in parallel can be considered. This does not necessarily imply that they are physically parallel (in all circumstances), as parallel capacitors have a certain behavior in the circuit and may malfunction if one of them fails.

Parallel forms reliability is a measure of reliability obtained by giving the same set of people different versions of an assessment tool (each version must contain items that probe the same construct, talent, knowledge base, etc.

The complete question is given below:-

What is the reliability of a two-component product if the components are in parallel, with individual reliabilities of 0.95, and 0.80?

a. 0.875

b. 0.99

c. 0.95

d. 0.76

e. 0.80

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Please help will mark brainy
A) 9¢/qt
B) $91.43¢/qt
C) 64¢/qt
D) 0.64¢/qt

Answers

I am pretty sure it’s B

answer:

b. $91.43/qt

step-by-step explanation:

it's a lot of work

5. Order the following numbers from least to greatest.
-√5, -, 3, -1.5, √16,7/2

Answers

The ordering of the numbers from the smallest to the biggest will be -3, -✓5, -1.5, 7/2, ✓16.

How to illustrate the information?

It should be noted that we have to arrange the numbers from.the smallest to the biggest.

The numbers include:

-√5 = -2.24

-, 3,

-1.5,

√16 = 4

7/2 = 3.5

Therefore, the ordering of the numbers will be -3, -✓5, -1.5, 7/2, ✓16.

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leo borrowed money for a new car from the bank. after month 1, the loan balance was $14760. after month 2, the balance was $14,520. if this pattern continues what will the balance be after 3 years​

Answers

Answer:

8,640

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 92 km to miles.

Answers

Answer:

57.5

Step-by-step explanation:

8 km = 5 m

97/8 = 11.5

5 * 11.5 = 57.5

Calculate the slope of the trend line
Please... :(

Answers

Answer:

Slope is .18

Step-by-step explanation

Find two points along the line.

Calculate slope using [tex]\frac{y2-y1}{x2-x1}[/tex].

I used the points (1985, .21) and (1990, .30).

7
Lydia wants to buy as many $3 pop-sockets as she can for her friends. If she has $16, which
linear inequality would be used to solve for how many she can buy?

Answers

Answer:

linear equations are hard but try L=16

Step-by-step explanation:

I'm prob wrong sorry

does anyone know the answer to this?

Answers

Answer: x=10

Step-by-step explanation:

x=10 because 10/5=2

Answer:

x = 10

Step-by-step explanation:

please Mark me brainliest

50 points! i honestly forgot how to do algebra lol can someone help me and explain the steps for me?

2x + 14 = 18 x=?

Answers

Answer: x=2

Step-by-step explanation: Plug 2 in the equation. 2 x 2 is 4. 4 + 14 is 18.

I need help ahhh


Graph y= -1/3x + 5

Answers

start with putting the dot on the right to positive 5 on the y-axis (the vertical line) then from there use rise over run method. since it is negative you will move the dot on the left down instead. you will go DOWN 1 and to the LEFT 3. i’m sorry if i’m wrong:(((

Lola's puppy weighed 19 ounces on the second visit the puppy had gained 9 ounces on the third visit the puppy heaven gained another 7 ounces what is the percent increase since the first visit and the puppy weighed around to the nearest percent

Answers

Answer:

84%

Step-by-step explanation:

In order to calculate this, we first need to calculate the total weight of the puppy on the last visit. We do this by adding the weight that the puppy gained each visit like so...

19oz + 9oz + 7oz = 35oz

Now that we have the final weight we simply divide the final weight by the initial weight of the puppy in the first visit. Then we subtract 1 from that value and multiply by 100 to get the percentage increase.

35oz / 19oz = 1.84

1.84 - 1 = 0.84

0.84 * 100 = 84%

Finally, we can see that the puppy had an 84% increase since the first visit.

evaluate the quantity 2 squared times 2 to the power of negative 5 end quantity over 5 to the power of negative two. 1,024 over twenty-five twenty-five over 1,024 twenty-five eighths eight over twenty-five

Answers

The quantity is 25/8.

Given in words to evaluate the expression, 2 squared times 2 to the power of negative 5 and over 5 to the power of negative two.

Square of a number denotes a number to the power of 2.

The expression is :   [tex]\frac{2^2\times2^{-5}}{5^{-2}}[/tex]

We have to use the law of exponents here:

   [tex]a^m \times a^n = a^{m+n}[/tex]

and

  [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

In the above cases, the bases should be same for the two numbers.

So   [tex]2^2 \times 2^{-5} = 2^{-3}[/tex]

Also, negative exponents like  [tex]a^{-m} = \frac{1}{a^m}[/tex].

Therefore,     [tex]\frac{2^{-3}}{5^{-2}} = \frac{5^2}{2^3} =\bold{ \frac{25}{8} }[/tex]

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MATH Simplify the expression -6w + (-8) + 1 + (-7w)

Answers

Answer: -13w - 7

Step-by-step explanation:

-6w + (-8) + 1 + (-7w)

Combine the like terms

-8 + 1 = -7

-6w + (-7) + (-7w)

-6w + (-7w) = -13w

-13w + (-7)

However, because adding a negative number is the same as subtracting the number as a positive, you can just make it -13w - 7

What number should be added to both sides of the equation to complete the sqaure x^2+8x=4

Answers

The number 16 must be added to the equation for making it a perfect square.

We must have the idea of algebraic identities to solve this problem. The identity of the sum of square of two variables is given below.

We know that [tex](a+b)^{2}= a^{2} +2ab+b^{2}[/tex].

So make a perfect square the equation must be of the form of [tex]a^{2} +2ab+b^{2}[/tex]

Given, [tex]x^{2} +8x=4[/tex]

     ⇒ [tex]x^{2} +2*4*x+ 4^{2}=4+4^{2}[/tex]

     ⇒  [tex](x+4)^{2}=20[/tex]

So, to complete the square we have added 16 to both the sides of the equation and now it is in the form of [tex](a+b)^{2}[/tex].

The required number to be added is 16.

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what are the aims and objective of farm settlement scheme​

Answers

Answer:

The farm settlement scheme has i.a. the following objectives: 1. to bring about rural progress, 2. to demonstrate that by careful planning, farms can be established and operated by young, educated farmers which will provide a comfortable standard of living for the owners

Help plzzzzz!!!!:)!!!!

Answers

No, she did not substitute the correct x and y values :)
No she did the substitutions incorrectly

Keegan and Annie are working on an experiment in the science lab. Their mixture contains ingredients that weigh 5.22 grams, 5.7 grams, and 7.43 grams. Keegan calculates the combined weight to be 18.35 grams; Annie calculates it to be 13.22 grams.
Who is correct, and why?

Answers

Answer:

C.

Step-by-step explanation:

Annie did not do it right

Answer:

C

Step-by-step explanation:

Whats The Answer Marking Brainliest, Please explain your answer:D...................
..

Answers

Answer:

D.

Step-by-step explanation:

If you were to try to figure out how many miles Sandra walked per hour, you would set up your division as 13/3 miles over 1 hour, so therefore D is correct.

I hope I could help :)

what number is a solution of the inequality 3<3x-15

Answers

Answer:

x > 6

{7, 8, 9, 10...}

Step-by-step explanation:

[tex]3<3x-15\\\\3x-15>3\\\\3x-15+15>3+15\\\\3x>18\\\\\frac{3x>18}{3}\\\\\boxed{x>6}[/tex]

Any number will be a solution if it's value is greater than 6.

Hope this helps.

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