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

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:

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.

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).

5,977,243 x 457,766 pls answer

Answers

Answer:

a number

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

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

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

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

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.

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

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

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:

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)

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


. 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.

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

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:

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

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

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.

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.

What place value is 5 in:0.05

Answers

Answer:

5 hundredths

Step-by-step explanation:

Answer:

hundreths place

Step-by-step explanation:

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

Answers

Answer:

78 - 21i

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

(-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

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:

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

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.

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 :)

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

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