The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it? $4.87 $7.74 $9.74 $19.48

Answers

Answer 1

Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer 2

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74


Related Questions

The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Answers

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

----------------------

The equation of a line, in slope-intercept formula, is given by:

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

In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.

----------------------

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

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

----------------------

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445

2x+3y=12
find the missing values

Answers

I think it would be x=3 y=2

What types of lines create alternate interior angles?
a) Parallel lines cut by a transversal
b) Three parallel lines
c) Any two intersecting lines
d) Perpendicular lines
А
B
C
D

Answers

C should be the correct answer

1+y=-4/5x-2

Solve for Y

Answers

Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

What is expression?

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

For more references on expression, click;

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If the gas station is selling 5 bottles of water for $10, what is the unit price of each bottle of water?

Answers

It would be 2$ for one bottle

Answer:

2

Step-by-step explanation:

5 bottles = 10 dollars

divide by 5 to get 1 bottle

now divide 10 by 5 that will be 2

2$ for 1 bottle

6. How many sides has a regular poly- gon when each interior angle is 108°? 144°? 120°? 150°? 140°? 90°? 12870?​

Answers

Answer:

there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.

Step-by-step explanation:

This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.


Enter an equation that
describes the relationship
between c and h.

Submit

Answers

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

Learn more:https://brainly.com/question/16934180

What is the inverse of the function f(x) = one-ninth * x + 2?

Answers

Answer:

Please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.com/question/1144043

Answer:

f⁻¹(x) = 9x - 18

Step-by-step explanation:

Given

f(x) = 1/9x + 2

Let the inverse be y= f⁻¹(x)

To find inverse change x ⇒ y and solve for y:

x = 1/9y + 29x = y + 18y = 9x - 18

So the inverse is:

f⁻¹(x) = 9x - 18

find cos b in the triangle
A 5/12
b 12/13
c12/5
d 5/13

Answers

Answer:

D

Step-by-step explanation:

cos β

= Adjacent / Hypotenuse

= 5/ 13

Answer:

5/13

Step-by-step explanation:

The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the ochard produce in one year​

Answers

If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.

4) Which pair of triangles is congruent by Angle - Angle- Side

Answers

Answer:

2

Step-by-step explanation:

Two angles are congruent, and one side is congruent in the pair of triangles, option 2.

Answer:

2 should be the answer

Step-by-step explanation:

since two angles are equal and one side in equal you can write triangle ABC=TAY by angle angle side axiom

Find the measure of angle x. _

Answers

[tex]x + 120 = 180[/tex]

(linear pair of angles)

[tex]x = 180 - 120[/tex]

[tex]x = 60[/tex]

I need help thank you

Answers

Answer:

16n + 41

Step-by-step explanation:

2(-n - 3) - 7(5 + 2n) (Given)

-2n - 6 - 35 - 14n (Distribute)

-16n - 41 (Add like terms)

16n + 41 (Divide by a factor of -1)

Answer:

B. -16n - 41

Step-by-step explanation:

Use the distributive property:

2(-n - 3) - 7(5 + 2n)

-2n - 6 - 35 - 14n

Combine like terms:

(-2n - 14n) + (-6 - 35)

-16n - 41

Can someone please help me? If it is correct ai will give Brainliest
Thank you

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Collecting terms of the expression, we have ...

  x + 0.1x = x(1 +0.1) = 1.1x

In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.

Halle has $48 saved for a new computer. Then she receives birthday money giving her a total of $290 saved. How much birthday money did she receive?

Answers

290 - 48 = 242

She received 242 dollars worth of birthday money.


I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

The triangles below are congruent and their corresponding parts are marked.

Answers

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

which one is it???? .

Answers

Answer:

option A, I guess .....

.

What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81​

Answers

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

55.57
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
Oy=-x +10
Oy=-x + 12
Oy=-x- 10
Oy=x - 12

Answers

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

To learn more on slope of line click:

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Harry catches the train from Belfast to Dublin at 4pm. The average speed of the train is 70 mph and the distance between Belfast and Dublin is 105 miles. What time does Harry arrive in Dublin?

Answers

Answer:

[tex]Arrival\ Time = 5:30\ pm[/tex]

Step-by-step explanation:

Given

[tex]Current\ Time = 4pm[/tex]

[tex]Speed = 70mph[/tex]

[tex]Distance = 105miles[/tex]

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values to the expression.

[tex]70 = \frac{105}{Time}[/tex]

Cross Multiply

[tex]70 * Time = 105[/tex]

[tex]Time = \frac{105}{70}[/tex]

[tex]Time = 1.5\ hour[/tex]

Arrival time is then calculated as:

[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]

[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]

[tex]Arrival\ Time = 5:30\ pm[/tex]

Find the value of x in a triangle 68 27

Answers

They should add up to 180, so you do 68 + 27 + x =180 and solve from there!

Ted weighs twice as much as Julie Mike was three times as much as Julie together Ted Mike and Julie weigh 210 lb what is the weight of each person

Answers

Answer: Ted weighs 70 Julie weighs 35 mike weighs 105

Step-by-step explanation:

I looked it up ;-)

3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.​

Answers

Answer:

Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds

Step-by-step explanation:

The number of pies Matt eats = 2.75 pies

The time duration Matt eats 2.75 pies = 300 seconds

Mathematically, the time duration for Matt to eat one pie is given as follows;

The time to eat 2.75 pies = 300 seconds

Dividing both sides of the equation by 2.75 gives;

The time to eat 2.75/2.75 pie = 300/2.75 seconds

2.75/2.75 = 1, therefore, we have;

The time to eat 1 pie = 300/2.75 seconds

The equivalent fraction of 3000/2.75 = 1200/11

Therefore;

The time Matt takes to eat 1 pie = 1200/11 seconds

Which of these does NOT represent the number of minutes in a hour?

Answers

Answer:

the question is cut in half

18% is what number of 63?

Answers

Answer:

[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]

350 is the right answer.

Answer:

350

Step-by-step explanation:

To figure out the number, divide 63 by 18%

63/0.18 = 350

You can check by doing the opposite operation with your answer:

350 · 0.18 = 63

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots

Answers

Complete question :

A man has a garden measuring 40m by 24m. He wants to divide it equally into the minimum number of square plots. what is the length of each square plot?

Answer:

8 m

Step-by-step explanation:

Given that :

Dimension of garden = 40m by 24m

Length of garden = 40m

Width of garden = 24m

To Obtain the length of each square plot if the garden is divided into minimum number of square plots ; we take the highest common factor of the dimension:

Length (40) = 1, 2, 4, 5, 8, 10, 20, 40

Width (24) = 1, 2, 3, 4, 6, 8, 12, 24

The highest common factor here is 8 ;

Thus, the length of each square plot is 8m

Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?

Answers

Answer:

1080

Step-by-step explanation:

if 10 percent are left handed that means that 90 percent are right handed

number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080

Answer:

120

Step-by-step explanation:

10%=0.1

1200*0.1=120

Marshall Middle School is planning a field trip to see Romeo and Juliet at the local theater. The cost of a teacher ticket is $25 and the cost of a student ticket is $13. Write an expression to show the cost of t teacher tickets and s student tickets.

Answers

Answer:

25t + 13s

Step-by-step explanation:

Teacher ticket =  $25Student ticket = $13

Expression to show the cost of t teacher tickets and s student tickets:

25t + 13s

Stephanie is a wedding planner. She has assigned 4 workers for decorating tables with flower bouquets. There are 18 tables at the wedding. If Stephanie increases the number of workers to 8, the tables will be decorated twice as quickly.
Which statement best describes the number of tables in this situation?
A. The number of tables is an independent variable.
B. The number of tables is a dependent variable.
C.The number of tables is neither an independent nor a dependent variable.
D. The number of tables is both an independent and a dependent variable.
Thank you for helping me (:​

Answers

Answer:

A

Step-by-step explanation:

Because, you can increase or decrease the number of worker for each table but number of tables will be the same

Answer:

C the person above me is incorrect.

AStep-by-step explanation:

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1

Answers

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

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