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

x/16- (x+2)/8=2 pls help, need answer soon.

Answers

Answer:

x = -36

Step-by-step explanation:

Step 1: Write equation

x/16 - (x + 2)/8 = 2

Step 2: Solve for x

Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36

Step 3: Check

Plug in x to verify it's a solution.

-36/16 - (-36 + 2)/8 = 2

-9/4 - -34/8 = 2

-9/4 + 17/4 = 2

8/4 = 2

2 = 2

in the diagram (triangle) ABC = (triangle) PQR.

a. Describe one transformation that maps (triangle) ABC to (triangle) PQR.

b. Describe two reflections that map (triangle) ABC to (triangle) PQR.

c. Reflect (triangle) ABC across the line y = x. Describe how to map image to (triangle) PQR.

Answers

B.
Because it reflects over

BRAINLIEST!

Find 78 divided by 13. Input your answer as a reduced fraction.

Answers

Answer:

The answer is 6 in reduced fraction form:)

Step-by-step explanation:

The reduced fraction of the given division is 6/1.

Given that, 78 divided by 13.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 78/13

= 6/1

Therefore, the reduced fraction of the given division is 6/1.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ6

Find the 18th term of the sequence. 4.8, 5.1, 5.4, 5.7, ...

Answers

11.1 i think, i’m not sure tho

if x and y vary directly, and x=3/4 and y =15 which of following represents this situation?

a x=11.25y

b y=11.25x

c x=20y

d y=20x

Answers

Answer:

A

Step-by-step explanation:

Because your not studying

Answer:

D

Step-by-step explanation:

simple plug and chug.

Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.

y=20x will result in y=15 when x=3/4 and vice versa.

help me find the answer to this please. 8745/53 as an quotient

Answers

Answer:

165

Step-by-step explanation:

8745/53=165

Which one and don’t lie!!

Answers

Answer:

I am 99.99% sure its D.

Step-by-step explanation:

That red line is on the negative side of the x-axis and since all the numbers are 7 I'm just gonna assume that its a negative 7. Good luck sugar plum ;)

Answer: Not lying cause what's the point of lying to someone asking for help. The answer is x = -7

Step-by-step explanation:  X= -7 because if you look at a graph with negative and positive on it along with the Y and the X on it. Then you'll see that the middle of the plus is zero the left of the middle (going down the X axis) is negative. And the right side of the X axis is positive and the line is on the negative side of the X axis. That's why instead of it being Y= -7 ( which is NOT the answer) is wrong because the line is over the X axis instead of the Y axis.

how are translations described mathematically

Answers

Answer:

In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

3. Vocabulary Give an example of two
inequalities that are equivalent inequalities.
Explain your reasoning.

Answers

Are the inequalities x > 3 and 3 < x equivalent?

They both say that x must be larger than 3. No bickering here. So yep, they're equivalent.

Inequalities usually have a lot of solutions—in fact, infinitely many. Think about the inequality x > 3. This inequality states that "x must be larger than 3." Any number bigger than 3 is a solution to this inequality. That includes 3.001, 3.0001, 4, 5, 2 million, and every other number bigger than 3. We don't have time at the moment to name them all,

Jessica has -$15 dollars in her bank account. Jonathan has less money than Jessica in his bank account. Which value could represent the amount of money in Jonathan’s bank account?

Answers

Answer:

x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.

Step-by-step explanation:

Sorry if this is not what you are looking for.

6h + 20 is greater than for equal to 100 in a real world problem

Answers

Answer:

im sorry whats the question

Step-by-step explanation:

Answer:

Example:

John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.

find the sum of the product of 5 and 0.35 and the product of 0.75 and 8​

Answers

Answer:

sum of the product 5+0.35=5.35

sum if product 0.75+8=8.75

Answer:

Step-by-step explanation:

product of 5 and 0.35 = 1.75

product of 0.75 and 8 = 6

their sum = 1.75 + 6 = 7.75

Hope this helps

plz mark as brainliest!!!!!!!!

Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15

Answers

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

Answer:

c. False, counterexample of 15

Step-by-step explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.

Answers

Answer:

To order to obtain the outcome, researchers should provide the health outcomes of every other process. Below however is the clarification given.

Step-by-step explanation:

Researchers are gathering medical reports from 200 surgeons as well as 200 non-surgeons who use surgical care. For such individuals, the researchers report ten-decade health outcomes as well as to measure which group lasts longer.These are ended up finding, as stated in the above research article, that patients treated by either a particular technique are more likely to suffer in less than 8 years.

Help me please I REALLY NEED HELP WITH THIS 10 points

Answers

Answer:

Y-int (0,3)

Slope 3/2

Step-by-step explanation:

I'm assuming this is for the second question on the bottom

I don't understand it

Answers

Answer:

Your answer is: What do you need help with?

Step-by-step explanation:

Hope this helped : )

Solve for h: A = (1/2)*b*h*
O h = 2*A*b
O h = A *(b/2)
O h = (2*A)/b
0 h = (2+b)/A

Answers

Step-by-step explanation:

The answer is the third option

what is the value of 4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5) when x=5

Answers

Answer:

The value is 24

Step-by-step explanation:

We want to find the value of the given expression when x = 5

Simply substitute 5 into the given expression.

Thus, we have;

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Any part of the expression with 5-5 will be zero and will cancel out

Thus, we have

4(3)(2) = 4 * 3 * 2 = 24

The required value of equation at x = 5 is 24.

Given ;

Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)  

We have to calculate the value of expression when x = 5

To solve the equation substitute x = 5 in the given equation

= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)

= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify the equation

= 4(3)(2) + 7(3)(0) - 6(2)(0)

= 4.(6) + 7(0) - 6(0)

= 24 + 0 - 0

= 24

The required value of the equation at x = 5 is 24.

For details about the solution of equation click the link given below.

https://brainly.com/question/25377273

Enter the missing values in the area model to find 8(8k + 9)

Answers

8(8k+9) = 64k+72 , hope this helped :)

The area of a rectangular model is 64k²+72.

Given that, the length of a rectangle = 8k+9 units and the width of a rectangle = 8 units.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Now area of a model is

(8k+9)×8

= 8×8k+8×9

= 64k²+72

Therefore, the area of a rectangular model is 64k²+72.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.​

Answers

Answer:

Yes, the two equations are equivalent.

Step-by-step explanation:

For the first equation, we will solve for x.

2x + 4 = 10

Subtract 4 from both sides...

2x + 4 = 10

      -4    -4

It then becomes

2x = 6

Then we divide by 2 on both sides.

2x = 6

2     2

Then the answer is...

x = 3

Now let's also solve for x on the second equation.

3x + 6 = 15

Subtract 6 on both sides to get x alone...

3x + 6 = 15

      -6    -6

Then it is..

3x = 9

Lastly, divide by 3 on both sides...

3x = 9

3     3

Then it becomes

x = 3.

Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.

Which inequality represents this situation?
Players must practice at least 45 minutes a day.
A. t 45
D. t ≥ 45

Answers

D is the answer! notice the key word, “at least”
The answer is D. Because of the “at least” .

The fraction 26/5 is between which two numbers?

Answers

Answer:

25/5 and 27/5

Step-by-step explanation:

26/5 = 4 1/5

26/5 is between 4 and 5.

Which two expressions are equivalent?
A- 4 + (3 x y) and (4 + 3) x y
B- (18 divided by y + 10 and 10 + (y divided by 18)
C- 12 - (y x 2) and 12 - (2 x y)
D- (10 - 6) divided by y and 10 - (6 divided by y)

Answers

Step-by-step explanation:

D.

Answer:

D

Step-by-step explanation:

A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 one-fourths are circled.
A fraction bar labeled one-fourth. Under the one-fourth are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing 1. 2 boxes containing 1 are circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 8 boxes containing one-half. One box containing one-half is circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half. One box containing one-half is circled.

Answers

Answer:

i think option D

Step-by-step explanation:

Answer:the man above me

Step-by-step explanation:

Which equation represents a line which is parallel to the line y-7x= -2

Answers

Answer:

7x-y = 2

Step-by-step explanation:

i think it is right I"m not very sure

DeShaun and Vu are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7. Vu lost the latest competition, and now the ratio of the amount of Vu's money is 8:3. If Vu had $280 before the last competition, how much does Vu have now that he lost the bet?

Answers

Answer: Vu have $60.

Step-by-step explanation:

Given: Before bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7.

Let Deshaun's money =4x and Vu's money = 7x

If Vu had $280 before the last competition, then

7x = 280

⇒ x = 40   [Divide both sides by 7]

Deshaun's money = 4x = 4 x 40 = $160

After Vu lost bet, ratio becomes 8:3.

Let Deshaun's money = 8y and Vu's money = 3y

For Deshaun,  8x = 160 ⇒ y = 20  [divide both sides by 8]

Vu's money  = 3 (20)=$60

Hence, Vu have $60.

Answer:

hhhhhh

Step-by-step explanation:

hhhhh

Simplify (1/2)^4.......................................................................

Answers

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

how many moles is 264.06 grams of carbon dioxide?

Answers

I think you can search it up

Balance the equation with the correct coefficients.
3
4
5
N
KCIO3 →
KCI +
O2

Answers

Answer:

2KClO3 → 2KCl + 3O2

what fractions are equivalent to 3.375

Answers

Answer:

3/8 6/16 12/32 24/64 48/128 96/256

Step-by-step explanation:

1/8 is .125 so .375 is 3/8

Mark brainliest pls

The given decimal can be converted into fractions such as 3375/1000, 675/200, 135/40 and 67/20 respectively.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The decimal number is given as 3.375.

It can be written in the form of fraction as below,

3.375 = 3375/1000

Now, the other fractions can be obtained by dividing the numerators and denominators by the common factors as follows,

3375/1000 = 675/200 = 135/40 = 67/20


Hence, the fractions that are equivalent to the given decimal are 3375/1000, 675/200, 135/40 and 67/20 respectively.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ6          

Other Questions
The thirty years war involved all major European powers except which nation according to the constitution, what is one responsibility of congress? I need help fast.88TH UNITED STATES CONGRESSJoint ResolutionTo promote the maintenance of international peace and security in southeast Asia.Whereas naval units of the Communist regime in Vietnam, in violation of the principles of the Charter of the United Nations and of international law, have deliberately and repeatedly attacked United States naval vessels lawfully present in international waters... andWhereas theses attacks are part of a deliberate and systematic campaign of aggression that the Communist regime in North Vietnam has been waging against its neighbors and the nations joined with them in the collective defense of their freedom; andResolved by the Senate and House of Representatives of the United States of America... the Congress approves and supports the determination of the President, as Commander in Chief, to take all necessary measures to repel any armed attack against the forces of the United States and to prevent further aggression.-- Approved August 10, 1964An opponent of the Gulf of Tonkin Resolution would argue that it was unconstitutional because it gave too much power to the..... A) armed forces. B) executive branch. C) legislative branch. D) presidential cabinet. forest cannot control flood ture or flase PLEASE HELPMarmee teaches another lesson of sacrifice and selflessness. What is necessary to truly love others? Do people have a claim on each other (parents over grown children, siblings over each other, romantic partners over each other, etc.)? Your response should be 50-100 words long. Which of the following authors wrote an autobiographical slave narrative?1. Frederick DouglassII. Nathaniel HawthorneIII. Harriet Beecher StoweIV. Harriet Ann JacobsAnswers I and IV 1. What three things wereEngland, Spain and Francefighting for throughout the18th century? Suppose m Create two tables with at least four coordinates each. In the first table, choose coordinates that make the relation a function. In the second table, choose coordinates that don't make the relation a function. Explain in complete sentences how you determined which coordinates would define a function and which coordinates would not. The GCF of two prime numbers is _____.3214 2. Which of the following fonts is most legible for a block of text? What font size and color would you choose if you were writing a block of text in a formal business document? (1 point) How is the current trend of climate change different from previous cycles?A. The temperatures are dropping more quickly.B. The temperatures are changing more slowly.C. The temperatures are much higher.D. The temperatures are not changing as much pubg what is the best gun Write your diary entry in the space below. Be sure to include factual details as you would if you were actually there.200 worlds Why are currency exchange systems important for international trade? Group of answer choicesThey make it more difficult for countries to impose tariffs on foreign goods.They make it more difficult for smugglers to sell foreign goods.They make it easier for countries with different kinds of money to trade with each other.They make it easier for people who speak different languages to trade with each other. Select all that apply.In the File tab, you can:send documents as e-mail attachmentspost documents as blogsexport documents as PDF/XPSrecord document macros Find the slope of the table shown A given line has the equation 10x+2y=-2.What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,12)?VXO y=-5x+12O 5x+y=12O y-12=5(x-0)O 5x+y=-1 Last night, Hailey spent 1 2/5 hours on her mathhomework, then 45 minutes on her sciencehomework. What is the total time she spent doing hermath and science homework? Write your answer in acomplete sentence. Why is it important to know who is responsible for making laws in the government?