The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in terms of y for hiring a taxi for y kilometers.​

Answers

Answer 1

Answer:

The required expression is:

y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

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

where

m is the rate of change or slopeb is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

y = 0.5x + 3

Please check the attached graph too.

The Cost Of Hiring A Taxi Consists Of A Fixed Cost Of $3 Plus $0.5 Per Kilometer Distance Travelled.

Related Questions

Each day martin lifts weights for 10 minutes and runs on the treadmill

Answers

Answer:

I can see ur question but I'm not getting it is there any answers I can chose from to work it out

Factor the common factor out of each expression.
13) 50k + 20
14) 405-25
15) 5a + 10
16) 16k + 12

Answers

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

5(a+2)

4(k+3)

3x + 4y = -23
2y - x = -19

What is the solution (x, y) to the system of equations above?


(-5, -2)

(3, -8)

(4, -6)

(9, -6)

Answers

Step-by-step explanation:

I belive is choice 2 cause I only got -19 with that one

12% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 331 randomly selected students who receive financial aid, 43 of them volunteered their time. What can be concluded at the
α
= 0.01 level of significance?

For this study, we should use
Select an answer
The null and alternative hypotheses would be:

H
0
:

?

Select an answer

(please enter a decimal)


H
1
:

?

Select an answer

(Please enter a decimal)

The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?

α

Based on this, we should
Select an answer
the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the populaton proportion is significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 12%.
The data suggest the population proportion is not significantly different from 12% at
α
= 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 12%.

Answers

Answer:

Null Hypothesis:-H₀: P = 0.12

There is no difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is a difference between the percentage of volunteers selected from the college students.

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Step-by-step explanation:

Step(i):-

Given that the Population proportion P= 12% = 0.12

Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.

Sample proportion

                      [tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]

Step(ii):-

Null Hypothesis:-H₀: P = 0.12

There is a difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is no difference between the percentage of volunteers selected from the college students.

Step(iii):-

Test statistic

        [tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]

        [tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]

      Z = 0.5543

Level of significance = 0.01

Critical value Z₀.₀₁ = 2.376

Final answer:-

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.


Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month. On the same grid as Han's
plan, graph the cost of Tyler's cell phone plan over a period of two years. (Go back to question 14 and add a line
to represent Tyler's plan.)
Describe how the two graphs are the same and how they are different.

Answers

Answer:

Tyler's cell phone plan will cost 1,550 over the period of two years.

Step-by-step explanation:

$50 * 24 months = 1,200

1,200 + 350 = 1,550

The graph for the given condition is attached below.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month.

Suppose the number of months is x and the total amount is y, The obtained equation for the given condition is,

y=350+50x

We have to graph the cost of Tyler's cell phone plan over a period of two years.

1 year = 12 month

2 year = 24 month

Suppose 24 as the place of x,

y=350+50x

y=350+50(24)

y=350+1200

y=1550

Thus, the graph for the given condition is attached below.

Learn more about the equation here,

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Find the value of x in the trapezoid below

Answers

Answer:

I think its 108. Hope this helps!

Step-by-step explanation:

the value of x is 108

A downtown building is 720 feet tall. Maggie makes a scale model of the building at 1:240 of its actual size. How tall is the model?

Answers

Answer:

3 feet

Step-by-step explanation:

720ft

1ft:240ft

720/240=3

3ft:720ft

TVs are described by the length of their diagonals. The diagonal of a TV is
always a WHOLE NUMBER. If Sarah's mom has a cabinet with an opening that
measures 20 inches by 15 inches in her kitchen, what is the largest TV she can fit
in the opening?

Answers

Answer:

32

Step-by-step explanation:

what is the total if your tip is 20% and your subtotal is 7.47​

Answers

Answer:

$8.96

Step-by-step explanation:

To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47

(7.47×0.20=1.494)

Add $1.49 to $7.47

(1.49+7.47=8.96)

And there is your total amount with a 20% tip!

$8.96

What is 2 plus 2 giving brainliest

Answers

Answer:

four

Step-by-step explanation:

2 plus 2 = 4 jdhdvsjsisbebsfajwjebdnx xbdus

Step-by-step explanation:

the answer to 2 plus 2

is four

2+2=4

The square of the sum of
8 and 7 is

Answers

Answer:

225

Step-by-step explanation:

8+7=15

15*15=225

Answer:

225

Step-by-step explanation:

8 + 7 = 15

15² = 225

hope this helps...

PLEASE HELP!! Four fair coins are flipped and the number of heads that land face up are counted. The probability distribution of the number

of heads face up is shown below. What is the probability that more than one coin lands heads up?

T

1 2

3

4

P(T)

0.0625 0.25 0.375 0.25 0.0625

O 0.6875

O 0.3125

O 0.375

O 0.25

Answers

4 I think I had to add this because it told me to

The probability that more than one coin lands heads up is 0.9375.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability.

The binomial probability is [tex]^nC_xp^xq^{n-x}[/tex].

Given, Four fair coins are flipped and the number of heads that land face up are counted.

Let, 'p' be the probability of getting a head and 'q' be the probability of getting a tail,

So, p = 1/2 and q= 1/2.

Therefore, The probability that more than one coin lands heads up is,

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 3).

P(X ≥ 1) = [tex]^4C_1p^1q^3 + ^4C_2p^2q^2 + ^4C_3p^3q^1 + ^4C_4p^4q^0[/tex].

P(X ≥ 1) = [tex]^4C_1(1/2)^1(1/2)^3 + ^4C_2(1/2)^2(1/2)^2 + ^4C_3(1/2)^3(1/2)^1 + ^4C_4(1/2)^4(1/2)^0[/tex].

P(X ≥ 1) = 4(0.5×0.125) + 6(0.25×0.25) + 4(0.125×0.5) + 1(0.0625).

P(X ≥ 1) = 0.25 + 0.375 + 0.25 + 0.0625.

P(X ≥ 1) = 0.9375.

So, The probability of getting one or more heads is 0.9375.

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Two dice are rolled. Find the probability of getting a. A sum of 5, 6, or 7 b. Doubles or a sum of 6 or 8 c. A sum greater than 8 or less than 3 d. Based on the answers to parts a, b, and c, which is least likely to occur

Answers

Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1      1,2      1,3     1,4      1,5     1,6

2,1     2,2     2,3    2,4     2,5    2,6

3,1     3,2     3,3    3,4      3,5    3,6

4,1     4,2     4,3     4,4     4,5     4,6

5,1     5,2     5,3     5,4     5,5     5,6

6,1     6,2     6,3     6,4     6,5     6,6

The total number of outcomes = 36

a)

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

b)

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

c)

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.

I need help! I have an idea of which pick.

Answers

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation:

paul makes 6 stacks of cans on a shelf in his kitchen he puts 2 cans in each stack which equation and answer show the total number of cans ​

Answers

Answer:

there are 12 cans

Step-by-step explanation:

6 x 2 =12

Evaluate each expression.
24 : (-15 + 13-8-07- -6 x -5 - -10)
options
-2
22
10
8

Answers

the answer to ur question is 7

1 /2 (6k+10)+5k Simplify. Then, justify

Answers

Answer:

8k + 5

Step-by-step explanation:

First, you need to distribute the 1/2 to everything in the parentheses.

1/2 x 6k = 3k

1/2 x 10 = 5

The new expression is now:

3k + 5 + 5k

Add like terms.

3k + 5k = 8k

The expression becomes:

8k + 5

I WILL GIVE BRAINLIEST The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.

Write an equation that represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.

Answers

Answer:

The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.

Equation :---

[tex]\boxed{c + 2.5t = 105}[/tex]

Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.

What value of x makes this equation true? x/4 = 44

Answers

Answer:

176

Step-by-step explanation:

what the sqare units of a 3 bye 7​

Answers

There is 21 square units by 3 and 7. 3 as the column and 7 as a row. You can solve it by multiplying 3 with 7 which gives you 21 or adding 7+7+7 or 3+3+3+3+3+3+3 and all three gives you 21 as the answer. So the square unit of 3 and 7 is 21.

I need help with this

Answers

C=mc square .. your welcome

Answer:

1. 121    

2. 59

3. 48

4. 132

5. 17

6. 34

7. 23

8. 67

Step-by-step explanation:

just had this assignment and got a 100%, hope this helps!

List all the points that are on the same plane as point V



Please help me I’ll reward

Answers

I believe it would be X,S,Y,U

PLEASE HELP!!!!!!!!!!!!

Answers

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

4x + 20=? it’s hard and i’m confused

Answers

Answer:

4(x+5) I

Step-by-step explanation:

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

This is for if you are trying to solve for x. If that is not your goal, do not heed my words.

Subtract 20 from both sides.

[tex]4x + 20 = ?[/tex]

becomes

[tex]4x = -20[/tex]

Divide both sides by 4.

[tex]4x = -20[/tex]

becomes

[tex]x = -5[/tex]

And that's how you'd solve for x.

Brandon buys a radio for $45.29 in a state where the sales tax is 7%.What is the total Brandon pays for the radio?

Answers

Answer:

Net Amount (excluding tax)$45.29

Tax (7.0%)$3.17

Gross Amount (including tax)$48.46

Step-by-step explanation:

Please don't hate me if i'm wrong.

Answer:

48.46

Step-by-step explanation:

To find the sales tax of this you would have to multiply

$45.29*1.07=48.46

which would get you your answer

Example

You can plug it in with other things like sales tax of 9% for any number like 67.98 so you can just do

$67.98*1.09=74.10

I WILL GIVE BRAINLIEST Solve: 2(2x + 9) = 5x + 72

Step 1: 4x + 18 = 5x + 72
Step 2: 9x + 18 = 72
Step 3: 9x = 54
Step 4: x = 6

Which is the first incorrect step in the solution shown above?

Step 1
Step 2
Step 3
Step 4

Answers

Answer:

The first incorrect step would be the second, I think.

Step-by-step explanation:

You need to distribute:

2(2x+9) = 5x + 72

4x + 18 = 72

Then subtract 18 from both sides of the equation. Step 2 dosnt do this.

Next you simplify and get: 4x = 5x + 54

Subtract 5 from both sides of equation

Finally simplify and you get: -x = 54

Answer:

Solve: 2(2x + 9) = 5x + 72

Incorrect :---

Step 1: 4x + 18 = 5x + 72

Step 2: 9x + 18 = 72

Step 3: 9x = 54

Step 4: x = 6

Correct :---

Step 1: 4x + 18 = 5x + 72

Step 2: x + 72 = 18

Step 3: x = 18-72

Step 4: x = -54

Which is the first incorrect step in the solution shown above?

Step 1Step 2Step 3Step 4

→First incorrect step in the solution shown above is Step 2.

The third set in a tennis match went for
71.28
minutes, which was
8%
longer than the second set. The second set was
10%
longer than the first set.

Answers

Answer:

First set = 60 minutes

Second set = 66 minutes

Step-by-step explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes


A plane traveled 1232 miles each way to New York City and back. The trip there was with the wind. It took 11 hours.
The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.

Answers

The speed in which the plane was traveling with the wind was 112 mph. On the way back, the plane traveled 56 mph.

The way you find this out is by taking the miles traveled and dividing it by the by the time it took to travel that distance

A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour. What is this number in word form?
Seven hundred one thousand, two hundred eight
Seven hundred ten thousand, twenty-eight
Seven hundred one thousand, twenty-eight
Seven hundred ten thousand, two hundred eight

Answers

Seven hundred one thousand, two hundred eight

701,208 is in word form is Seven hundred one thousand, two hundred eight

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour

We need to write the number in sentence form

In the given number 8 is at units place

0 at tens place

2 is at hundred place

1 is at thousand place

0 is at ten thousand place

7 is at hundred thousand place

701, 208 is Seven hundred one thousand, two hundred eight

Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight

To learn more on Number system click:

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1.

Which expression is equivalent to "the second power of (8 - 3)"?

O A 53

B. 83

c. 52

D. 2(8 - 3)

Answers

Answer:

[tex](8 - 3)^2 = 5^2[/tex]

Step-by-step explanation:

Given

[tex](8 - 3)[/tex]

Required

Determine the second power

The second power of an expression is the square of the expression.

So, the second power of [tex](8 - 3)[/tex] is

[tex](8 - 3)^2[/tex]

Solving further:

[tex](8 - 3)^2 = 5^2[/tex]

Hence:

Option (c) is correct

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