Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem

Answers

Answer 1

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer 2

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.


Related Questions

Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute

Answers

Answer:

62

Step-by-step explanation:

Because 775 divided by 12 1/2= 62

i need help please thanks

Answers

Answer:

66 units

Step-by-step explanation:

just addition

Answer:

66 units

Step-by-step explanation:

The perimeter of a two dimensional object is all of its sides added together:

6+14+10+17+4+3+8+4=

20+10+17+4+3+8+4=

30+17+4+3+8+4=

47+4+3+8+4=

51+3+8+4=

54+8+4=

62+4=

66 units

pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the bizzell Gallery. Pierre earns $10,800 this month. what is the total dollar value of the art that he sells?

Answers

Answer:

$43,200

Step-by-step explanation:

25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)

10,800 * 4 = 43,200

The total dollar value of the art that he sells is 43200 dollars.

What is percentage ?

Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.

According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.

∴ 25% of the total value is 10800 dollars.

Assuming total value to be x dollars.

So, (25/100)x = 10800

(1/4)x = 10800

x = 10800 × 4

x = 43200 dollars.

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does anyone know this?

Answers

Answer:

6x^2

Step-by-step explanation:

What goes in the box is

2x* 3x

6 x*x

6x^2

algebra applications: find the value of x and y ​

Answers

Answer:

[tex]x = 14\\y = 20 \\[/tex]

Step-by-step explanation:

Finding x:

8x + 3x + 26 = 180 (Angle on a straight line add up to 180°)

11x = 180-26

11x = 154

Dividing both sides by 11

x = 14

Finding y:

3x + 5y + 38 = 180 (Angle on a straight line add up to 180°)

3(14) + 5y + 38 = 180

42 + 38 + 5y = 180

80 + 5y = 180

5y = 180-80

5y = 100

Dividing both sides by 5

y = 20

Answer:

x = 14, y = 20

Step-by-step explanation:

[tex](8x + 26) \degree + 3x \degree = 180 \degree..(straight \: line \: \angle s) \\ (11x + 26) \degree = 180 \degree \\ 11x + 26 = 180 \\ 11x = 180 - 26 \\ 11x = 154 \\ \\ x = \frac{154}{11} \\ \\ \huge \red { \boxed{x = 14}} \\ \\ (5y + 38) \degree = (8x + 26) \degree..(vertical \: \angle s) \\ 5y + 38 = 8 \times 14 + 26 \\ 5y + 38 = 112 + 26 \\ 5y + 38 = 138 \\ 5y = 138 - 38 \\ 5y = 100 \\ \\ y = \frac{100}{5} \\ \\ \huge \purple{ \boxed{ y = 20}}[/tex]

A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
minute, but doctors consider resting rates from 60-100 beats per minute within normal range.
Average Resting Heart Rate by Age
120-
10.112)
100-
80
Heart Rate (beats/min)
(20,72)
(50,72)
40-
20
0 10 20 30 40 50 60
Age (years)
Which statement about average resting heart rates is not supported by the graph?
1) A 10-year-old has the same average 3) A 40-year-old may have the same
resting heart rate as a 20-year-old.
average resting heart rate for ten years.
2) A 20-year-old has the same average 4) The average resting heart rate for
resting heart rate as a 30-year-old.
teenagers steadily decreases

Answers

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

Write an equation in point-slope form of a line that goes through the points (1,4) and (3,-10). Do not use any spaces in your answer.

Answers

Answer:

y-4=-7(x-1) OR y-(-10)=-7(x-3)

Step-by-step explanation: The point-slope form is [tex]y_[/tex]-[tex]y_{1}[/tex]=[tex]m_[/tex]([tex]x_[/tex]-[tex]x_{1}[/tex])

In slope-intercept form, the equation would be y = -7x + 11

You could find the slope by using the slope equation, [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].

Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.

Natalie has two number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number.
a. How many possible outcomes are there? _________________
b. How many times should Natalie toss a difference of 1? ______________
c. How many times should Natalie toss a difference of 0?

Answers

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

A die is rolled. Match the events mentioned in the first column with their corresponding probability.

Answers

Answer:

Step-by-step explanation:

a number greater than 5 - 1/6

a prime number - 1/2

a number greater than 4 - 1/3

a number less than 6 - 5/6

The probability of rain for the day of the race is 62%.

(a) What is the probability that it does not rain on the day
of the race?
Runners who complete the race in 2 hours 15 minutes or less
get a gold medal.
Bradley completed the race in 2 hours 13 minutes 22 seconds.

(b) Work out the difference between 2 hours 15 minutes,
and 2 hours 13 minutes 22 seconds.

Answers

a) 100%-62%=38%

b) 2h 15m- 2h 13m 22s= 15m- 13m 22s= (14m- 13m)+ (1m- 22s)= 1m+ 38s= 1m 38s

PLEASE HELP URGENT!!
Examine the following graph,where a horizontal dilation maps p(x) to I(x)

Answers

Answer:

D) a horizontal stretch

Step-by-step explanation:

"A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis." Quoted from mathbitsnotebook.com.

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters

Answers

Answer:

the length is 98 meters and the width 98 meterss

Step-by-step explanation:

We have that the length is l and the width is w, we know that:

P = 2 * w + 2 * l

if we solve for it, we have:

l = P / 2 - w

Now, we know that the area is:

A = l * w

if we replace l, we are left with:

A = (P / 2 - w) * w

A = P * w / 2 - w ^ 2

we derive to know the maximum area and we equal 0 and we have:

A '= P / 2 - 2 * w

0 = P / 2 - 2 * w

w = P / 4

now for him:

l = P / 2 - P / 4

l = P / 4

Therefore, if we replace:

l = 392/4 = 98

w = 392/4 = 98

For the maximum area the length is 98 meters and the width 98 meterss

The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces does Helen have.

Answers

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?

Answers

Answer:

-1/5x -4/5 = y

Step-by-step explanation:

f(x) = -5x -4

y = -5x-4

Switch x and y

x = -5y -4

Solve for y

Add 4

x+4 = -5y

Divide by -5

-1/5x - 4/5 = -5y/-5

-1/5x -4/5 = y

Answer:

f(x) = -5x - 4

let f(x)= y

y = -5x -4

x = -5y - 4

-5y = x+4

y = - (x +4)/5

The inverse of f(x) is -(x +4)/5

Hope this helps.

The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer: 8 miles per hour

Step-by-step explanation:

Speed = distance / time

When diatance is 60 miles

Speed = 60 / 1.5 = 40 miles per hour

When distance is 20% more (72 miles)

Speed = 72 / 1.5 = 48 mph

The presence of an angle bisector will result in what type of angles?
Complementary angles
Congruent angles
Vertical angles
Supplementary angles

Answers

Answer:

Congruent angles

Step-by-step explanation:

Angle bisectors, divides the given angle into two equal parts

thus if value of angle is x then angle bisector will divide this angle into  parts

of equal value x/2 .

_______________________

complementary angles are two angles whose sum is 90 degrees.

since we do not the value of angle we cannot say with certainty that the angles are complementary

Congruent angles are angles who have the same angular measurement.

since, in above problem we have seen that angle bisector divides the angle in two equal parts.

hence angles are equal and thus they are congruent angle.

Congruent angles is the correct answer.

_______________________________________

vertical angles are angle opposite two one another when two line cross each other.

Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles

Supplementary angles are two angles whose sum is 180 degrees.

since we do not the value of angle we cannot say with certainty that the angles are Supplementary.

Hence correct option is Congruent angles

Answer:

congruent angles

Step-by-step explanation:

In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?

Answers

Answer:

2nd option is the correct answer.

Step-by-step explanation:

[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]

Answer:

B

Step-by-step explanation:

15POINTS OR 22 IDK
Solve 4(x−9)=4(9+1/3x).

Answers

Answer:

x = 27

Step-by-step explanation:

4(x−9)=4(9+1/3x).

Divide each side by 4

(x−9)=(9+1/3x)

Subtract 1/3 x from each side

x - 1/3x -9 = 9+1/3x -1/3x

2/3x -9 = 9

Add 9 to each side

2/3x -9+9 = 9+9

2/3x = 18

Multiply each side by 3/2

3/2 * 2/3x = 18*3/2

x = 27

Answer:

27

Step-by-step explanation:

4(x−9)=4(9+1/3x)

4x-36=36+(4/3)*x

(12/3)*x-36=36+(4/3)*x

(8/3)*x=72

8x=216

x=27

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?

Answers

Answer:

6 days

Step-by-step explanation:

5 days, 3 hours and 45min

If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB?

Answers

Answer:

87

Step-by-step explanation:

or 130. let me know if I'm wrong

If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The measure of arc AB = 50°

The measure of its inscribed angle ACB = ?

Here, ACBP will make a quadrilateral

And, the sum of opposite angles of quadrilateral is 180°

So, ∠ACB + ∠AB = 180°

⇒   ∠ACB = 180° - 50°

⇒   ∠ACB = 130°

Hence, the measure is 130°

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The sum of 2 times a number and 7 is equal to 6

Answers

Answer:

2x+7 = 6

x = -1/2

Step-by-step explanation:

Answer:

2x+7=6

Step-by-step explanation:

What is the gradient of the blue line?

Answers

The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

What is the gradient of a line?

The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.

In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,

[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]

Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.

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Find the explicit formula for the geometric sequence. Then find a8.
4, 8, 16, 64, ....

Which Answer is Correct:
A) an = 4 ⋅ rn – 1; 1,024
B) an = a1 ⋅ 2n – 1; 256
C) an = 4 ⋅ 2n – 1; 512
D) an = 2 ⋅ 4n – 1; 512

Answers

Answer:

Step-


Honey it c !!!!………!l║.by-step explanation:

The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.

To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.

In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.

We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,

Substituting the values,

We get,

⇒ a₈ = 4 × 2⁽⁸⁻¹⁾

⇒ a₈ = 4 × 2⁷

⇒ a₈ = 512,

Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.

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The given question is incomplete, the complete question is

Find the explicit formula for the geometric sequence. Then find a₈.

4, 8, 16, 32, 64,....

Which Answer is Correct:

(a) aₙ = 4 × rₙ - 1; 1024

(b) aₙ = a₁ × 2ⁿ⁻¹; 256

(c) aₙ = 4 × 2ⁿ⁻¹; 512

(d) aₙ = 2 × 4ⁿ⁻¹; 512

Over the last 5 years, a corporation's debt grew by $ 4 , 253 , 335 . Calculate the average rate at which the company's debt was growing in cents per second. Round your answer to the nearest hundredth if necessary. (For the purposes of this calculation, use 365 days/year.)

Answers

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 13°F. What was the lowest temperature overnight in that city?​

Answers

Answer:

the answer is -15°F

1st: draw a number line

2nd: start at -2

3rd: go back 13 spaces toward the negitive

4th: u get your answer= -15°F

What is the volume of the rectangular prism? one cube is 1/3
Pleaser answer fastt

Answers

Answer:

A

Step-by-step explanation:

15 boxes multiplied by 2 is 30, 1/3 times 30 is 10

What Am I - using what you know
about triangles, find my missing
measurement and then tell me
my first and last name. First name,
acute, obtuse and righte Last name,
Scalene, isosceles, equilateral.
1) One angle is 82 degrees, the other is
75 degrees, What is my missing angle?
What is
my first and last name?

Answers

Hi there!

The missing angle is 23 degrees.

Remember every triangle has 180 degrees no matter what type. So you add 75 and 82 and subtract it from 180 giving you 23.

The first name is acute and the last name is scalene.

A acute triangle is when all angles are less than 90 and an obtuse triangle is when there is 1 obtuse angle and 2 acute angles.

Hope this helps !

Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:

Answers

Answer:

Look at the underlined numbers

So we have 16 = 16*1

then 64 = 16*4

the difference would be 3

then 144 = 16*9

the difference would be 5

256 = 16*16

the difference would be 7

400 = 16*25

the difference would be 9

so the next one would be 11+25=

3, 5, 7, 9, 11

ANSWER: 16*(11+25) = 36*16 = 576

Step-by-step explanation:

I explained before this

I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !

Answers

Answer:

Value of blank 1 is 2

Value of blank 2 is 10

Step-by-step explanation:

We are given that a and b are the lengths of legs of right angle in right angled triangle .

b = 3

We are also given that c is the hypotenuse

c = hypotenuse = 7

To find the value of 'a' we will use Pythagoras theorem

[tex]Hypotenuse^2 = perpendicular^2 +base^2\\c^2=a^2+b^2\\7^2=a^2+3^2\\7^2-3^2=a^2\\\sqrt{7^2-3^2}=a\\\sqrt{40}=a\\2\sqrt{10}=a\\[/tex]

Value of blank 1 is 2

Value of blank 2 is 10

In the number
23.45, the digit
2 is in the Select...
place.

Answers

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Number 2 is in the tens place.
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Name two characteristics of feudal society. If 7+5x+9=3x , then x=2 . Drag and drop the reasons to correctly complete each box. Transformational leadership Group of answer choices Helps followers to transcend their own self-interest for the good of the group Is a process in which leaders and followers exchange effort for specified rewards Is an interactive process in which the leader tries to shift power to those who are being led You have recently resolved a problem in which a user could not print to a particular shared printer by upgrading her workstation's client software. Which of the following might be an unintended consequence of your solution?a. The user complains that word-processing files on her hard disk take longer to open. b. The user is no longer able to log on to the network.c. The shared printer no longer allows users to print double-sided documents.d. The shared printer no longer responds to form-feed commands from the print server. Given f(x) = 4x3 12x2 + 40x + 12, find f(2). The graph below shows the distance in miles, m, hiked from a camp in h hours.Which hourly interval had the greatest rate of change?1) hour 0 to hour 13) hour 2 to hour 32) hour 1 to hour 24) hour 3 to hour 4 A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45 with the vertical. Air resistance is negligible. Part A What is the speed of the rock when the string passes through the vertical position if two angles are obtuse are they congruent |x-1|=14 solve the equation please help quick im on a test and i only got an few mins leftWhat Is the Reactivity Series? ...How Do Glow Sticks Glow? ...How Do You Get Different Coloured Fireworks? ...What Is an Alloy? ... Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi) 5.Mevhibe has advanced rapidly in the corporate world, despite her middling scores on such tests as the WAIS-IV, the SAT, and the GRE. Sternberg would suspect Mevhibe of high ________ intelligence a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can Find the degree of each polynomial. For the following compound, determine each element and if the element is a metal or nonmetal. Also determine if the compound has an ionic, covalent, or metallic bond:NaClSO2CaOHFNO2H2O Who is being referred to directly as being destructive in the DOI? which organ does the digestion of protein to take place What is the nth term in the sequence: 15, 22, 31, 42, 55 Which of the following expressions represents the verbal description below?the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1 How many tons is 22,000 pounds?