A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer traveled.
a) Determine the linear function that relates the fare and the kilometers
tours.
b) How much should a person who travels 20km pay?

Let x be the number of kilometers traveled by a person in the taxi.

Answers

Answer 1

Answer:

a) linear function =  150 + 30x represents 1km

    and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b)  y = 2/3x + 225

Can be factored from 2/3 (30x+75)  and simplified to  2/3(3x+15/2)

Step-by-step explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240  for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225


Related Questions

25 x 1/10 write in simplest form. Identify the two whole number between which the product lies

Answers

Answer:

25× 1/10 = 5/2

Step-by-step explanation:

5/2 or 2.5 lies between 2 and 3

PLEASE HELP ! Determine the type of triangle drawn below. ​

Answers

Answer:

Scalene,right angled triangle

Hope it helps

A school chess club played 35 games ,they won 15 games tied 15 and lost the rest. What percentage of the game did they lose ,win and tie.​

Answers

Answer:

3/7 tied

3/7 Won

1/7 lost

Step-by-step explanation:

The perimeter of a square is 2 meters. How many centimeters long is each side?​

Answers

Answer:

0.5 meters (50 cm.)

Explanation: 2 divided by 4=0.5=50 cm.

Answer: how many sides?

4? 8?

Step-by-step explanation:

What is the volume of the rectangular prism? The numbers are 8 3/8m, 6m, 8 1/4m​

Answers

Hopes this helps:

Answer: 414 9/16

Have a great day.

please hurry need done asappppp

Answers

Answer:

1

Step-by-step explanation:

Find the surface area of a regular square pyramid with a base edge length
of 9 feet and a slant height of 12 feet.

Answers

Answer:

Perimeter = 9 . 4=36 ft

lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft

area of the base=9*9=81 sq ft

Surface area = LA+BA = 216 + 81 = 297 sq ft

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

c=9.1 miles

Step-by-step explanation:

a^2+b^2=c^2

6.2^2+6.7^2=c^2

38.44+44.89=c^2

83.33=c^2

√83.33=c

c=9.12852671574

Round to nearest 10th

c=9.1

If this helps please mark as brainliest

Answer:

9.1 miles

Step-by-step explanation:

6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33

The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration.

GPA Monthly Salary ($)
2.6 3,500
3.4 3,800
3.6 4,200
3.1 3,700
3.4 4,200
3.1 2,500

The estimated regression equation for these data is = 2090.5 + 581.1x and MSE = 21,284.
Required:
a. Develop a point estimate of the starting salary for a student with a GPA of 3.0
b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals).
c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals).

Answers

Answer:

1.) 3833.8

2.) (3428.81 ; 4238.79)

Step-by-step explanation:

1.)

Point estimate of the salary for student with GPA of 3.

Using the regression model given :

Y = 2090.5 + 581.1x

x = 3

Y = 2090.5 + 581.1(3)

= 3833.8

2.)

95% confidence interval :

Y ± Tcritical * √MSE

Y = point estimate at x =3 ; = 3833.8

MSE = 21,284

Tcritical at 95% ; df = n-2 = 6-2 = 4

Tcritical(0.025 ; 4) = 2.776

√MSE = √21284 = 145.89036

Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81

Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79

(3428.81 ; 4238.79)

Please help . Determine the type of triangle that's drawn below.​

Answers

Answer:

scalene Right

Step-by-step explanation:

um it has a 90 degree so yea

Line j is a straight line
which equation represents the relationship between the measures of
please help, thanks!

Answers

Answer:

answer:

m<w + m<z =180°

hope this will help u

Can anyone help? I’ll give Brainly :) it’s not 20 x 0.10

Answers

Answer:

2%

Step-by-step explanation:

To solve this use the formula given

We have the share price but need the annual dividend

The quarterly dividend is .10 which means the annual dividend is just .10*4 or .4

.4/20= .02 or 2%

Answer:

2% .Hope this helps you.

A dog named Bella has a rectangular bed that is 2 feet wide and 4 feet long. A larger dog, Kahuna, has a rectangular bed which is 5X feet wider and 9X feet longer than Bella’s bed

Answers

Answer:

10 feet wide and 36 feet long

Step-by-step explanation:

5 x 2= 10 wide

4 x 9= 36 long

13 + 10.12 + 131 + 39
Rewrite the expression
12 + 25 + 1
T(I)
(I).
In the form 91x)+la

Answers

Answer:

Option A.

(x + 8) + (–4x + 31) / (x² + 2x + 1)

Step-by-step explanation:

x³ + 10x² + 13x + 39 / x² + 2x + 1

To rewrite the above expression in the form q(x) + r(x) / b(x), we shall simply divide (x³ + 10x² + 13x + 39) by

(x² + 2x + 1)

Please see attached photo for explanation

From the attached photo,

the quotient q(x) = x + 8

The remainder r(x) = –4x + 31

Divisor b(x) = x² + 2x + 1

Thus,

x³ + 10x² + 13x + 39 / x² + 2x + 1

= (x + 8) + (–4x + 31) / (x² + 2x + 1)

QUESTION 1<br /><br />(10 MARKS)<br /><br />Evaluate the following<br /><br />(i) (3<br /><br />4 − 2<br /><br />3) ÷ (3<br /><br />4 + 2<br /><br />3) <br /><br />(2 Marks)<br /><br /><br /><br />(ii) (2<br /><br />4<br /><br />1<br /><br />× 2<br /><br />3) ÷ (3<br /><br />5 − 1 1<br /><br />4) <br /><br />(2 Marks) <br /><br />Simplify the following:<br /><br />i. 6 ÷ 2(1 + 2)<br /><br /><br /><br />(2 Marks)<br /><br /><br /><br />ii. 5 × −5<br /><br /><br /><br />(2 Marks)<br /><br /><br /><br />iii. 123(3 + 22) <br /><br />(2 Marks)<br /><br />QUESTION 2<br /><br /> (10 Marks) <br /><br />a) Find the amount on Simple Interest when N$ 4000 is lent at 5% p.a for 5 <br /><br />years. (2 Marks)<br /><br />b) Find the compound interest on N$ 4500 for 3 years at 6% per annum.<br /><br />(2 Marks)<br /><br />c) In case interest is paid half yearly, then the interest is divided by 2, and used <br /><br />as (R/2) in the formula and the time is multiplied by 2, and used as 2T in the <br /><br />formula, given by A=P( 1+ (R/200))2T. (2 Marks)<br /><br />d) In the case interest is paid quarterly, then the interest is divided by 4, and <br /><br />used as (R/4) in the formula and the time is multiplied by 4, and used as 4T in <br /><br />the formula, given by A=P(1+(R/400))4T payable quarterly (rate=R/4, <br /><br />time=4T) (4 M​

Answers

So many words symbols what’s going on lol

Answer:

AMOS OBWANDREW

Step-by-step explanation:

Find the volume of the cone. Round to the nearest tenth.
radius: 8.7 feet
height: 16 feet
Volume: ft3

Answers

Answer:

V= 1268.2

Step-by-step explanation:

Habibi what is 10 + 10 + 10 =

Answers

Answer:

30:>

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

sorry that I took the points my bad but thx

The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) can't equal

Answers

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).

How to find the area of a region?

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.

f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).

The area of a trapezoid is the height times the average of the bases.

a. f(x)=-2x+8  f(0)=8, f(4)=0;

   area = 4(8/2) = 16

b. f(x)=x+2; f(0)=2, f(4)=6;

   area = 4(8/2) = 16

c. f(x)=3x-2; f(0)=-2, f(4)=10;

    area = 4(8/2) = 16

d. f(x)=5x-6; f(0)=-6, f(4)=14;

    area = 4(8/2) = 16

e. f(x)=7x-9; f(0)=-9, f(4)=19;

     area = 4(10/2) = 20

Thus, The area is NOT 16 for choice e.

Learn more about Area here:

https://brainly.com/question/13056790

#SPJ2

Choose the system of equations which matches the following graph: a line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1

Answers

Answer:

17

Step-by-step explanation:

Step-by-step explanation:

1838584848484884727738383

mZR = 110 and mZS = 80. Find mZT. The diagram is not to scale.

Answers

Answer:

d. 90°

Step-by-step explanation:

Recall: based on the properties of a kite, the angles where the two unequal sides meet are congruent, this means that m<S = m<U.

Also, the sum of all angles of a kite = 360°

Therefore:

m<S + m<U + m<R + m<T = 360°

m<S = m<U = 80°

m<R = 110°

Substitute

80° + 80° + 110° + m<T = 360°

270° + m<T = 360°

Subtract 270° from each side

m<T = 360° - 270° = 90°

Simplify 1 to lowest terms and find an equivalent fraction that has a denominator of 32.

A.6/8, 28/32
B.2/6 , 24/32
C.3/4, 24/32
D.3/4, 12/32

Answers

Answer:

Option C

Step-by-step explanation: 3/4 x 8 will get 24 as the numerator and 32 as the denominator

1/5 *6x-3=1/10(6x+12)​

Answers

Answer:

x = 7

Step-by-step explanation:

We solve the equation the following way...

[tex]\frac{1}{5}6x - 3 = \frac{1}{10}(6x + 12)\\1.2x = 0.6x + 1.2 + 3\\1.2x - 0.6x = 1.2 + 3\\0.6x = 4.2\\6x = 42\\x = 7[/tex]

The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?

Answers

Answer:

Hence, the answer is [tex]x>71.1515[/tex]

Step-by-step explanation:

We have,

[tex]n=100,\mu=70,\sigma=7[/tex]

The top percentage of the students is [tex]5\%[/tex]

The  lower percentage of the students is [tex]95\%[/tex]

The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table

[tex]z=1.645[/tex]       from the z- table

[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]

[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]

   [tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]

   [tex]\Rightarrow x>71.1515[/tex]

While shopping for clothes, Jaclyn spent $41 less than 2 times what Curtis spent. Jaclyn spent $27. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.

Answers

Answer:

Step-by-step explanation:

qiofuqbfqobdbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Approximately how many square meters does the field cover? Use pi = 3.14.

Answers

9514 1404 393

Answer:

  4041 m²

Step-by-step explanation:

The area is the sum of the areas of the circle and the central rectangle.

  A = πr² + LW

  A = (3.14)(18 m)² + (36 m)(84 m) = 1017.36 m² +3024 m²

  A = 4041.36 m²

The field covers about 4041 square meters.

Rewrite in vertex form. y=x2+2x+6

Answers

Answer:

[tex]y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} [/tex]

Answe

 

y=(x+1)2+5

Step-by-step explanation:

Two sides of a parallelogram are 730 feet and 970 feet. The measure of the angle between these sides is 151°. Find the area of the parallelogram to the nearest square foot.

Answers

Answer:

343294 feets

Step-by-step explanation:

We Obtian the height:

Using trigonometry :

Sin151 = h / 730

0.4848096 = h / 730

h = 353.91102

Area of parallelogram = base * height

Base = 970 feets ; height = 353.91102 feets

Area = 970 * 353.91102

= 343293.6894 feets

= 343294 feets

PLZ HELP NO LINK THIS IS EXTRA CREDIT BC IM FAILING OR I WILL HAVE NO SUMMER!!!!!

Answers

1- a
2-b
3-a
4-a
5-b
6-b
7-b
8-a

Answer:

For the first one its B.

Second is A

Third is A

Fourth is A

Fifth is A

Sixth is A

Seventh is B

Eight is A, basically you have them right.

Find the measure of the missing side. Round
to the nearest tenth (one number after the
decimal). Someone please solve for me

Answers

Given x = hypothenuse
10.8 = opposite
Degree = 57
You can use Sine (O/H)
Sin(57) = 10.8/x
0.8386705679 = 10.8/x
10.8 = 0.8386705679x
x = 10.8/0.836705679
x = 12.90776467 (round to tenth)

Solution: x = 12.9

What is the remaining area

Answers

4.3 because if you factored it first it would leave u with 4.3 as a remaining
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