A taxi company charges a fee of $4 plus $0.50 per kilometer. Write a formula for $C, the cost of d journey.

Answers

Answer 1

Answer:

C = 4 + 0.5d

Step-by-step explanation:

General equation: y = ax + b, with b is fixed term and a is rate per x.

Here,

C = y

fixed term b = 4

rate a = 0.5 per kilometer (d)


Related Questions

50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function

Answers

Answer:

Graph D

Step-by-step explanation:

(h)t = -16t^2 + 80

At time t = 0 the screwdriver is at 0+80 =80 ft

As time increases the height will decrease so we can eliminate graph B

We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A

We need to find where it meets the x axis

0 = -16t^2 + 80

-80 = -16t^2

5 = t^2

t = sqrt(5)

t =2.23

This is Graph D

What’s the value of X

Answers

Answer:

Step-by-step explanation:

Use the Law of Sines for this. Set it up as follows:

[tex]\frac{sin(x)}{6}=\frac{sin(61)}{6.2}[/tex]  Cross multiply:

6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:

[tex]sin(x)=\frac{6sin(61)}{6.2}[/tex]

Work on the right side first. Plug that into your calculator to get

sin(x) = .8464061682

Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:

[tex]sin^{-1}([/tex]

After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?
(3x + 2)(x2 + 1)
O 3x 2 + 1 + 2
(3x + 2)2 + 1
3(x2 + 1) + 2

Answers

Answer:

This means you would plug in g(x) into f(x).

Step-by-step explanation:

It would look like this:

[tex]3(x^{2} + 1) + 2[/tex]

Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?

Answers

Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

Determine which one of the following statements is true. A. Exponential growth will always exceed linear growth. B. Linear growth will always exceed quadratic growth. C. Linear growth will always exceed exponential growth. D. Quadratic growth will always exceed exponential growth.

Answers

Answer:

A. Exponential growth will always exceed linear growth.

Step-by-step explanation:

The rate of growth of a linear function is always constant, that means it remains the same for any value of x or y. For an exponential growth, the rate of change is not constant, it continues to increase as the value of x increases. Therefore since the rate of growth of an exponential growth increases as the x value increases, while that of the linear growth remain constant there would be a point in which the exponential growth will exceed linear growth.

PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?

Answers

Answer:

The answer is B)

[tex]y = - \frac{1}{2}x + 8[/tex]

Answer:

B.  y = -[tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]

[tex]m_{l2} * 2 = -1[/tex]

[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]

Taking another point xy on line l2;

[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]

Cross multiplying this gives;

y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!

When a number is divided by 9 and its quotient is 12 and a remainder of 2

Answers

Answer:

Step-by-step explanation:

_____ / 9

2/12

Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).

9 × 12 + 2 =

108 + 2 = 110

110 is the number divided.

110/9

20/12

2

Find the he value of n if 4n=6 4

Answers

Answer: 16

Step-by-step explanation:

64/4=16

n=16

Answer:

16

Step-by-step explanation:

4n = 64

n = 16 --------> Divide by 4 on each side

Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance
charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77
$30.88
$23.95
$19.80
7.5% $86.76 $45.00
$31.11
$24.18
$20.04
8.0% $86.99 $45.23
$31.34
$24.41
$20.28
8.5% $87.22 $45.46
$24.65
$24.65
$20.52
9.0% $87.45 $45.68
$31.80
$24.89
$20.76
A.
$355.65
O
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E. $17,071.20
Reset
Next
© 2020 Edmentum. All rights reserved.​

Answers

Answer:

  D.  $2071.20

Step-by-step explanation:

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...

  48 × $23.71 = $1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...

  finance charge = 15 × $138.08 = $2071.20 . . . matches choice D

The lowest point in Asia is the Dead Sea, which is 396 meters below sea level. The lowest point in the USA is Death Valley, at 86 meters below sea level. How much high is Death Valley than the Dead Sea

Answers

Answer:

310 metres

Step-by-step explanation:

The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.

The lowest point in the USA is Death Valley, a= 86 meters below sea level.

Therefore,

diference in their heights = 396-86 metres =310 metres

Answer:

310 meters higher

Step-by-step explanation:

396-86=-310

The difference btween -396 and -86 is the same as |396| and |86| so you can just subtract the positive numbers.

Write the slope-intercept form of the equation for the line. (-1,-3) (1,1)

Answers

Answer:

y = 2 x − 1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We can find the slope from the slope equation

m = (y2-y1)/(x2-x1)

   = ( 1- -3)/(1 - -1)

   = (1+3)/(1+1)

   = 4/2

  =2

Assume all variables represent non negative numbers . Help please!!

Answers

Answer:

A). [tex]2p^{8}[/tex]

B). [tex]3m^{7}[/tex]

Step-by-step explanation:

A). [tex]\sqrt{4p^{16}}[/tex]

    To get the square root of the given expression we will convert it into the square form.

[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]

Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]

                             [tex]=2p^{8}[/tex]

B). [tex]\sqrt{9m^{44}}[/tex]

    Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]

    Therefore,  [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   [tex]=3m^{7}[/tex]

There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?

Answers

5 buses is the answer pls mark me brainliest

Least number of bus require for trip = 5 buses

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Total number of classes = 9

Number of student in each class = 25

Number of teacher = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

Now,

Total number of student = 9 × 25

                                         = 225

Number of chaperones = 4 × 2

                                         = 8

Total people = 225 + 8 + 4

                     = 237

Least number of bus require for trip = Total people / Bus hold

= 237 / 45

= 5.266

Learn more about unitary method here:

https://brainly.com/question/22056199

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The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.

Answers

Answer:

10.5 pounds of apples

Step-by-step explanation:

4 devided by 14 = 3.5

3.5* 3 = 10.5

The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical
line test, is this equation a function? Why or why not?

Answers

Answer: This equation is not a function.

Step-by-step explanation:

Ok, a function is something like a "machine".

It takes an input value, x, and transforms it into an output value, y.

Such that for every input x, the function can transform it into only one value of y.

for example, if we have a "function" f(x)

such that f(2) = 3 and f(2) = 4

(for the same input, x = 2, we have two different outputs)

Then this is not a function.

Now, the given equation is:

x^2 + y^2 = 5

This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.

Then, if we want to transform it into y(x), we can see a problem

If x = 0, we have:

0^2 + y^2 = 5

y^2 = 5

then we have two possible values for y:

y = +√5

y = -√5

Then for one value of x, we have two values of y.

This means that this is not a function.

Answer:

No. The vertical line touches the graph at more than one point at once.

Step-by-step explanation:

I just did it

Jak policzyc: [tex](2x^2)^2[/tex] ?

Answers

2^2 • x^ (2•2)
Answer is :
4x^4

*PLEASE ANSWER* What is the volume of this prism?

Answers

Answer:

23.85

Step-by-step explanation:

→ Work out area of triangle

0.5 × 6 × 3 = 0.5 × 18 = 9

→ Multiply area of triangle by width of prism

9 × 2.65 = 23.85

Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:
hy
What set of transformations is performed on EFGH to form E'F'G'H'?

Answers

Answer:

A translation 3 units to the right and a 90-degree clockwise rotation

Step-by-step explanation:

Please help. I need it. Bad.

Answers

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

Th sum of a number and two is equal to eight
The equation?

Answers

Answer:

2+n = 8

Step-by-step explanation:

2+ something must equal 8.

8 minus 2 = 6

n=6

Answer:

Let the number be n.

According to question,

2+ n =8

=) n = 8-2

=) n =6

hope you understand.

The sum of 6 consecutive integers is 519. What is the third number in this sequence?

Answers

Answer:

86

Step-by-step explanation:

x+x+1+x+2+x+3+x+4+x+5 = 519

6x+15 = 519

6x = 504

x = 84

Third number = x+2 = 86

Answer:

86

Step-by-step explanation:

khan

A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?

Answers

Answer:

128 miles.

Step-by-step explanation:

The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.

64 * 2 = 128 miles

Hope this helps!  

Which is the exponential form of log3 x= 11?

Answers

Answer:

[tex]x = 3^{11}[/tex]

Step-by-step explanation:

relation between logarithmic and exponential form is given by

[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.

____________________________________________

[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]

Thus, exponential form is [tex]x = 3^{11}[/tex]

Covert the verbal expression into an algebraic expression.
The product of 23 and a number x​

Answers

Answer:

23×x

=23x

Hope it helps

Answer:

23x

Step-by-step explanation:

"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.

Marsha wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled
floor is 4 ft by 2 ft. Find the area the carpet needs to cover. 1)
Solve on paper. Then check your work on Zearn. 1)
1
11
3
7
tiled floor

Answers

Answer:

68.06 sq. feets

Step-by-step explanation:

Area of room's floor

11.33 × 7 = 79.33

Area of tiled floor

4.83 × 2.33 = 11.278

Area of floor needed to be carpeted

79.33-11.278= 68.06

In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60

Answers

Answer:

It is so easy u should get this right.

First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40

so it b 40.

Step-by-step explanation:

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

Given that, in a circle whose centre is O, arc AB contains 100°.

We need to find the number of degrees in ∠ABO.

How are angles and arcs related?

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

According to the theorem ∠ABO=1/2 × arc AB.

So, ∠ABO=1/2 × 100°=50°

The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.

Learn more here about arc of a circle here:

https://brainly.com/question/15448382.

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For the given figure, justify the statement ∠1 ≅ ∠2

Answers

Answer:

                   JUSTIFICATION↓

∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)

Step-by-step explanation:

Since ∠1  lies vertically opposite to  ∠2 and vice -versa , therefore ∠1 and  ∠2 are equal to each other

The volume of a rectangular prism is the product of its dimensions. If the dimensions of a rectangular prism are
approximately 1.08 feet, 5.25 feet, and 3.3 feet, what is the approximate volume of the cube? Express your answer
using an appropriate level of accuracy.

Answers

Answer:

Hey there!

Volume of a rectangular prism: length (width) (height).

Volume: 1.08 (5.25) (3.3), or 18.71100.

However, because 3.3 is only two significant figures, we round our answer to: 19.

Hope this helps :)

Answer:

18.7 ft^3

Step-by-step explanation:

The volume is the product of the dimensions of the cube:

V = L*W*H, where L and W represent the length and width respectively.

Here,

V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.

width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed

Answers

Answer:

1/5

Step-by-step explanation:

width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed

Given that :

Original Width of picture = 7 3/5 cm

Width required for picture to fit into frame=7 3/10

For picture to fit into frame:

(7 3/5 - 7 3/10) must be trimmed off from the frame.

(7 3/5 - 7 3/10)

(7 - 7) = 0

(3/5 - 3/10)

Taking the L. C. M

(6 - 3) / 10

= 2 / 10

= 1/5

THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.


BRAINLIEST!!! Plz help ASAP
M(5, 7) is the midpoint of side RS.The coordinates of S are (6, 9). What are the coordinates of R?Please answer with full explanation and no non sense answers will reports. Will give brainiest to those who answered correctly with full explanation. Thank you.

Answers

Answer: R = (4, 5)

Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,

x coordinate- (6+x)/2=5

                        x=4

y coordinates- (9+y)/2=7

                         y=5

And therefore R is (4, 5)

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