Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form

Answers

Answer 1

Answer:

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Step-by-step explanation:

The balance Amy has in her lunch account is a function of the number of lunches she has consumed.

The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:

[tex]B(x)=50-3x[/tex]

Where x is the number of lunches.

Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:

[tex]B(x) \le 5[/tex]

Or, equivalently:

[tex]50-3x\le 5[/tex]

Subtracting 50:

[tex]-3x\le 5-50[/tex]

[tex]-3x\le -45[/tex]

Multiplying by -1 (and flipping the sign):

[tex]3x\ge 45[/tex]

Solving:

[tex]x\ge45/3[/tex]

[tex]x\ge 15[/tex]

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.


Related Questions

What is the approximate area of the circle shown below ? 17cm

Answers

Answer:

It's B, 908cm^2

Step-by-step explanation:

A=3.14xr^2.

Answer:

The answer is B, 908cm²

Step-by-step explanation:

Just Completed This quiz

Mike, Larry, and Daryl are brothers that own a shoe store. For every pair of shoes sold, they earn $18.00 in profits. At the end of the day, they split the profits equally among them. Which of the following equations can be used to find P, the profit each brother earns if n pairs of shoes are sold in one day?

Answers

Answer:

The answer is $18n/3= p

the slope of (19,-16) (-7,-15)

Answers

Answer:

Slope is y= -1/26x-15.25

Step-by-step explanation:

Put the two points on a graph, and count the rise over run, which is rise=-1, and run=26. Then you just find the y-intercept, and you have your equation.

I think the answer is .22857
Sorry I’m not sure

What place value is 5 in:0.05

Answers

Answer:

5 hundredths

Step-by-step explanation:

Answer:

hundreths place

Step-by-step explanation:

Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units

Answers

Take a picture of the problem

Brainliest please get right

Answers

Answer:

12x-9

Step-by-step explanation:

hope this helpssss

Answer:

12x + -9 or 12x-9

Step-by-step explanation:

9x-4+3x-5

Combine the like terms.

9x + 3x = 12x

-4 - 5 = -9

12x-9

Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)

Answers

Answer:

Not sure sorry!

Wish that I could help!

Step-by-step explanation:

Answer:

Wait do we actually have to answer it? XD

Step-by-step explanation:

Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

(0,6) & (3,0)

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

m = (0-6)/(3-0)

m = -6/3

m = -2

Substitute the values in y = mx + c

0 = -2(6) + c

c = 12

Thus, the equation is y = -2x + 12

Answer:

y=2x-6

Step-by-step explanation:

You can plug this into the slope formula, x-intercept of 3 would be (3,0)

and y intercept of -6 would be (0,-6).  

Find the slope using the slope formula. The slope is 2

We are given a y-intercept of -6

therefore, the answer is y=2x-6

Add the following rational number.
-2/3+5/6

Answers

Answer:

1/6

Step-by-step explanation:

-2/3 = -4/6

so, -4/6 + 5/6 = 1/6

First you should make sure the denominators are the same


-2/3 = -4/6

Now add

-4/6 + 5/6 + 1/5


Hope this helped :)

The graph shows how the mass of copper
changes as the volume of the element changes
and the density remains constant.
*picture*
Which of these bests represents the rate of the
change in the mass of copper with respect to the
volume?
a.4/33 g/cm^3
b.19/41 g/cm^3
c.8 1/4 g/cm^3
d.4 4/7 g/cm^3

Answers

Answer: 8 1/4g/cm³

Step-by-step explanation:

Given the graph :

The rate of change in the mass of copper with respect to volume :

To obtain this, we find the slope or gradient of the graph:

Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)

Drawing a right angled triangle on the anybpart of the line of best fit:

y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2

(y2 - y1) / (x2 - x1)

= (40 -16) / (4.75 - 2)

= 24 / 2.75

= 2400/275

= 8.727 g/cm^3

Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³

Answer:

c

Step-by-step explanation:


. Find the coefficient of x3 in the expansion of (3+2x+x2)6

Answers

Answer: 9180

Step-by-step explanation:

(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729

This can be found using Pascal's Triangle.

The coefficient of x^3 is 9180.

(-8 - 9i)(-3+6i) standard form

Answers

Answer:

78 - 21i

m a t h w a y will help you :)

Fill in the table with the rule y = 2x-2

X: -3, -2, -1, 0, 1, 2, 3, 4
Y: _, _, _, _, _, _, _, _.​

Answers

Answer:

-8 is the first one.

Step-by-step explanation:

-3(2)-2

-6-2

Hopefully this helps you understand the rest (and I was just too lazy to do all of them).

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

Answers

It’s most likely to be 3


Combine Like Terms.
- x - y - 2y

Answers

Answer: -x -3y

Step-by-step explanation:

Answer:

−x − 3 y

Step-by-step explanation:

Subtract   2 y  from  − y

a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle

Answers

Answer:

u got zoom class in session ??

Step-by-step explanation:

In Europe, the speed limits on the highways are posted in kilometers per hour. In the United States, the speed limits are posted in miles per hour. What is the equivalent rate of 65 miles per hour in kilometers per hour?

Answers

i believe the answer is 104 km per hour. correct me if i’m wrong anyone.

1 week away from the election. Who do you think wins? Why do you think so? Who do you want to win? Who is better for the country? Why??? (Trump 2020)

Answers

Answer:

I think that Trump will win because 4 years ago no one thought he was going to but he did anyway

I want none of them to win because I dislike both of them.

I think Joe Biden is going to win bcz most people prefer him over trump and he’s winning rn

Which describes the slope of the given line?

A. undefined

B. positive

C. zero

D. negative​

Answers

Answer:

A. underlined

hccuv. huffy. kgigcgi igog if. lnhv

negative, because it is slightly decreasing (going down as it goes right).

Positive would be slanting up

Undefined would be vertical.

Zero would be horizontal.

It has a negative slope.

Hi
Can you answer these questions
Either you answer all or just one it’s ok
Thx

Answers

Answer:

I'm sorry if you can't read it. I hope I could still help.

Step-by-step explanation:

Find the value of a and b.
B
85
6
F
с
a
E
a
b=

Answers

U uh yucugctuxugxf TX ryzyzyfzttxxtxyrxyxtx

Find the slope of the line that passes through the points (4, 3) and
(2, 7).

Answers

Answer:

-2

Step-by-step explanation:

7-3/2-4=-2

use slope formula

The equation of line passes through the points (4, 3) and (2, 7) will be;

⇒ y = - 2x + 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 3) and (2, 7)

Now,

Since, The equation of line passes through the points (4, 3) and (2, 7)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 3) / (2 - 4)

m = 4 / -2

m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - 3 = - 2 (x - 4)

⇒ y - 3 = - 2x + 8

⇒ y = - 2x + 11

Therefore, The equation of line passes through the points (4, 3) and

(2, 7) will be;

⇒ y = - 2x + 11

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Someone please help with this !!!!

Answers

Answer:

x = 132

Step-by-step explanation:

The 2 angles shown are alternate exterior angles and are congruent, thus

x = 132

5,977,243 x 457,766 pls answer

Answers

Answer:

a number

Step-by-step explanation:

Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.

Answers

Answer:

The equation, y=3 x,

Step-by-step explanation:

y=Distance traveled

x =Total time

Also, in terms of straight line

Slope =3= uniform Velocity

Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).

→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.

Answer:

The equation y = 3x represents a proportional relationship, where y represents distance in miles, and x represents time in hours. The point (3, 9) represents that Alonso walks 9 miles in 3 hours. The point (5, 15) represents that Alonso walks 15 miles in 5 hours.

Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line 3x - 5y = 6.
y =

Answers

Answer:

y = -5/3x - 6/5

Step-by-step explanation:

Brainliest pls

you notice a hot air balloon is sending the elevation H in feet of the balloon is modeled by the function h x equals 6X + 90 where X is the time in second since you first noticed the hot air balloon​

Answers

Answer: you should ask your teacher for help...

Step-by-step explanation:

Answer:

1. 0    

2. 0    

3. 6

4. 6

5. 90

6. 90

Step-by-step explanation:

x is greater than or equal to 0, and h is greater than or equal to 0, because since it is ascending, it is constantly getting more time, and getting higher up. The slope is 6, so the change of the feet for the hot air balloon is 6 feet per second, and the h- intercept is 90, so the first time you noticed it, is was at 90 feet, so put your points at (0,90) and at (30, 180)

(-3√ -81)(-5+√ -9)+9i

Answers

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

Alyssa can do a job in 16
minutes. Adrian will do the
same work in 8 minutes. How
many minutes would it take
Alyssa and Adrian to do the
same job together?

Answers

Answer:

i think it would take them 8 minutes depending on how well they get along.

slope=-2 y intercept=0

Answers

Answer:

Step-by-step explanation:

I am assuming you want an equation

y=mx + b

m is the slope, and b is the y intercept, so just fill in the info

y=-2x + 0

because it is just + 0, you can simply write:

y=-2x

Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.

Other Questions
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z 1.89z. Assume that the conditions for inference were met. Answer the real-world problem below. Then, decide whether the answer is the GCF or the LCM. A local radio station is celebrating its 10th year on the air and is giving away prizes to callers. It is giving away a $10 bill for every 10th caller. It is also giving away free digital albums to every 8th caller. How many callers will call the radio station until someone wins both a $10 bill and a free digital album? ito ay sinadyang kaguluhan o pananakot na ginagamit ng karahasan ng isang pangkat o ng isang estado upang matamo ang isang adhikaing polotikal o kriminal A ___ reaction takes two or more reactants to make one product Changes to the global climate could include _______.a.changes to temperatureb.changes to pressurec.changes to precipitationd.all of the abovePlease select the best answer from the choices providedABCD Put the following scientists in order of their discoveries: 1. Dalton, 2. Bohr, 3. Rutherford, 4. Democritus, 5. ThomsonPlease help me I really need the answer 340 equals 72 more than yWrite the sentence as an equation. why is the case number important in a investigation In this excerpt from chapter 6, how is the action initiated? Pick one of the following habitats: wetland, forest, desert, ocean. First, explain at least one way the habitat might change naturally over time. Next, explain at least one way people might harm the habitat. Finally, explain at least one way people could help protect the habitat from harmful changes.I'm also picking the ocean and pls tell me what I should write a bird has a short sturdy beak that allows it to crush hard tough grains what does the beak's form to a specific type of food describe about the species of bird Badly need help please answer this write the follow through sentence to each of the following situations. Use modals in your sentences Based on what you learned in the lesson, what might have been a source of income for Puerto Rico in the pastThe export of coffeeThe inland tourismThe production of sugarThe sale of cattle Describe Claire's symptoms. Explain how they were related to metabolism and homeostasis. Sean was at batting practice. He swung 25 times but only hit the ball 15 times. Write the simplified ratio for how many times Sean swung the bat compared to how many times he hit the ball. PLS HELPA. Alternate interior anglesB. Vertical anglesC. Supplementary anglesD. Alternate exterior angles Solve the system of equations. y=4x+5 and y=3x-2, what's the solution If a boomerhing is thrown 10 m in a straight line and returnsexactly to the spot it was thrown what is its displacement? The war in Iraq would be an example of which type of conflict?intergroupinterpersonalintragroupintrapersonalPlz help ASAP !!!! Wellness is the struggle to keep all the components of health at their best possible levels.Please select the best answer from the choices provided.OF