Ben’s favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon. Group of answer choices (THERES ALOT OF ANSWERS BE PREPARED) SELECT ALL THE ANSWER CHOICES.


4pm,

8pm,

9am,

3pm,

noon,

11am,

6pm,

9pm,

7am,

1pm,

2pm,

5pm,

10pm,

10am,

8am,

7pm,

6am,

Answers

Answer 1

Answer:

8 pm and 8 am

Step-by-step explanation:

Let us solve the equation

[tex]2|(x-2)|-12=0[/tex]

There is a modulus in the equation this means that one value of the modulus will be positive and the other will be negative

Let us solve for the positive first

[tex]2(x-2)-12=0\\\Rightarrow 2x-4-12=0\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]

Now we add this value with 12 noon

So

[tex]12+8=8\ \text{pm}[/tex]

Let us solve for the negative

[tex]2(-(x-2))-12=0\\\Rightarrow 2(2-x)-12=0\\\Rightarrow 4-2x-12=0\\\Rightarrow x=-\dfrac{8}{2}\\\Rightarrow x=-4[/tex]

So

[tex]12-4=8\ \text{am}[/tex]

The times when the serving time is as advertised is 8 pm and 8 am.


Related Questions

Max pays a flat rate of $85 for his cell phone. He is also charged $0.15 for every text that he sends. His cell phone bill can be no more than the amount he has budgeted for it each month. If x represents the number of texts and y represents his budgeted amount, which inequality represents Max's cell phone budget each month? (3 points)
a $0.15x + $85 ≥ y
b $0.15x + $85 ≤ y
c $0.15x - $85 ≥ y
d $0.15x - $85 ≤ y​

Answers

answer : b, .15x + 85 ≤ y

The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and the mass of Venus?

Answers

Step-by-step explanation:

5.9722x1024 - 4.8685x1024

1130.1888

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?


In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D

Answers

Answer:

a) Her rate is 1 mile per hour  for Monday’s run

b) 0.447 m/second

c) In fraction  20467m/180000 seconds

Step-by-step explanation:

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

Her rate is 1 mile per hour  for Monday’s run

part A. According to the question, the unit rate is to be expressed in miles per hour units.

Part B.

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

But 1 mile = 1609.34 m

and 1 hour = 3600 seconds

There fore  

1 mile/ 1 hour  = 1*1609.34/ 1*3600 seconds

                    = 0.447 m/second

Part C.

1 mile/ 1 hour  =1609.34/ 3600 seconds

                     = 1609.34 * 100/100 * 1/3600  ( multiplying and dividing by 100 to remove the decimal)

                     = 160934/360000

                      = 20467m/180000 seconds

                       

The first five multiples of 1 are 2,3,4,5,6,7,8, 9......

The LCM of 1 and 1 is 1

Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4

Answers

Answer:

x^2+2x-8

Step-by-step explanation:

x^2+2x-8 = (x+4)(x-2)

Answer: A. x^2 -2x -8

Step-by-step explanation:

Area can be defined as the number of square units it takes to cover the inside
of a figure
A. True
B. False

Answers

Answer:

A

Step-by-step explanation:

It is making me add 20 characters to my answer so ignore this :)

Answer:

its TRUE

Step-by-step explanation:

A fair 66-sided die is rolled 77 times and the resulting sequence of 77 numbers is recorded. A) How many different sequences are possible?B) How many different sequences consist entirely of even numbers? C) How many different sequences are possible if the first, third, and fourth numbers must be the same? D) How many sequences are there where every number is different? E) How many sequences are there where there are at least two numbers that are the same?

Answers

Answer: A. 279936 sequences.

B. 2187 sequence.

C. 7776 sequence.

D. 46656 sequence

E. 64 sequence.

Step-by-step explanation:

Given data:

A 6 sided fair die

No of time rolled = 7

Resulting sequence recorded = 7.

Solution.

A.) No of different possible sequence

= 6^7

= 279936 sequences.

B.) Sequence consisting of only even number

= there are 3 even numbers between 1 and 7 ( 2,4,6).

= 3^7

= 2187 sequence.

C.) possible sequences are when the first, third, and fourth numbers must be the same.

= 6* 6 ^n

where n = 4

= 6*6^4

= 7776 sequence.

D.) sequence when every number is different.

There are 6 sides of a die, so when every number is different it is.

= 6^6

= 46656 sequence

E.) sequence when atleast there are two numbers that are the same.

= 2^6

= 64 sequence.

What does 0.05 x 300 represent?

Answers

Answer:

15

Step-by-step explanation:

What should be subtracted from 538 to get reminder 3 when divided by 11

Answers

Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: 538÷11=48 + 10

so to get remainder 3 subtract 7 from 538

Mr. Parks spent $96.30 on 3 hats and 6 key chains. a. If each hat cost $15.50, how much did each key chain cost?

Answers

8.30 per key chain

3 times 15.50 eqauls 46.50
96.30-46.50= 46.80
46.80 divided by 6= 8.40

Based on the information given the amount that the key chain cost is $8.3

Cost:

Let x represent the cost of the key chain

$96.30 = 3($15.50) + x

x = $96.30 - $46.50

x= $49.8

Hence:

Cost per key chain= $49.8/6

Cost per key chain= $8.3

Inconclusion the amount that the key chain cost is $8.3

Learn more about cost here:https://brainly.com/question/1153322

randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?

Answers

To start, she has 3 pounds of flour
She uses 1, subtracts 1 pound
Now she has 2 pounds of flour

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

can someone help me with this

Answers

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

anyone know thisssss​

Answers

See the attachment.....

Which of the following equations has only one solution?
X( x - 1) = 9
x2 - 6x + 9 = 0
x2 = 9

Answers

Answer:

x^2 - 6x + 9

Step-by-step explanation:

x(x - 1) = 9

x^2 - x - 9 = 0

x = 3.54 or x = -2.54 (using quadratic formula)

x^2 - 6x + 9 = 0

(x-3)^2 = 0

x = 3

x^2 = 9

x = ±√3 (any positive number square rooted always have 2 answers)

What is the sum of –356.1 + 258.6? –614.7 –97.5 97.5 614.7

Answers

Answer:

The answer is -97.5

Answer:

-97.5

Step-by-step explanation:

um yas

There are 18 girls and 24 boys who want to participate in a trivia challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter? Find how many boys and girls each team would have.

Answers

Answer:

4 team could enter  5 people in each team

Step-by-step explanation:

there will be 6 teams, each team having 3 girls and 4 boys

Step-by-step explanation:

6*3=18

6*4=24

Find the exact value of tan^-1(1)
A. Pi/4
B. 7pi/4
C. 5pi/4
D. 3pi/4

Answers

the answer to this equation is C. Hope this helps!

If you can answer my riddle I will mark as brainlest ok?
RIDDLE: If you give me food I will live but if you give me water I will die. What am I?

Answers

Answer:

fire

Step-by-step explanation:

if you give fire food or fuel it will still be alive

but if you give it water it will go out

PLZ GIVE BRAINLEST

Answer:

The answer is a fire because if you put water on a fire, it will die out, but if you put stuff in the fire it will live on.

Calculate the insurance costs.
The Greene family obtains bodily injury and property damage automobile insurance in the amount of 50/100/10. The car
that they insure is not driven to work, and no male drivers under twenty-five use the car.
a. What does the Greene family pay as an annual premium?
b. How much would it cost him to purchase insurance in the amount of 100/300/25?
c. What is the difference in cost?

Answers

Answer:

a. What does the Greene family pay as an annual premium? $450.60

b. How much would it cost him to purchase insurance in the amount of 100/300/25? $480.70

c. What is the difference in cost? $30.10

(っ◔◡◔)っ ♥here you go♥

What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?

Answers

I will say its the correct answer

help big points, need quickly pls pls pls

Answers

Answer:

use photomath and if that dont work use m a t h w a y

Step-by-step explanation:

Help plz I really need it

Answers

Answer:

here up I have upload photos

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

Find the slope of the line graphed below.

Answers

Answer:

(rise/run) 5/4

decimal ver: 1.25

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The line passes trough the points (2, 2) and (-2, -3).

[tex]m=\frac{rise}{run}=\frac{-3-2}{-2-2}=\frac{-5}{-4} =\boxed{\frac{5}{4}}[/tex]

Hope this helps.

Edgardo adquirió un vehiculo a un costo de $23,970. Su vida útil es de 7 años y tiene
un valor residual de $975.
a ¿Cuánto deprecia el vehículo cada año?
b. ¿Cuál será su valor al cabo de 5 años?
c. Haz la tabla de depreciación y valor por año​

Answers

Responder:

$ 3,285

$ 7545

Explicación paso a paso:

Dado que:

Costo del vehículo = $ 23,970

Valor de rescate = $ 975

Vida útil = 7 años

Depreciación por año = (costo del vehículo - valor residual) / vida útil

Depreciación por año = (23970 - 975) / 7

Depreciación por año = 22995/7

Depreciación por año = $ 3285

Valor del vehículo después de 5 años:

23970 - (3285 * 5)

= $ 7545

Año _____ valor del vehículo

1 ________ 20685

2 ________ 17400

3 ________ 14115

4 ________ 10830

5 ________ 7545

6 ________ 4260

7 ________ 975

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim xâ[infinity] x + x2 1 â 5x2

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given the expression;

[tex]\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}[/tex]

To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;

[tex]\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}[/tex]

Hence the limit of the function as x tends to infinity is [tex]\frac{1}{5}[/tex]

True or False

Gross income is the amount of money you earn before taxes
________________________

Net income is after taxes.
________________________

There are 24 pay periods in a year if you are paid monthly.
________________________

Regular or straight time pay is calculated by the hourly rate X hours worked.
___________________________

Piecework is when you are paid for each item of work that you do.
__________________________

Fill in the blank

When I earn extra money based on the amount I sell, this is called____________________________.

Overtime begins when a person works more than _____ hours per week.

Social Security, Federal , and ______________ taxes will be deducted from an employee’s paycheck.

Overtime Pay is an Act covered by ______________________________________________________.
Annual salary is calculated by dividing the salary by _____________________________________.

Answers

Answer:

True

Step-by-step explanation:

Gross income is prior to any deductions, expenses, or other appropriations have been taken out.

2. True

Net income is after taxes

3. False

This would be biweekly if 24 payperiods

4. True

5. True

Fill in blank

1. Commission (I think)

2. 40

3. State

4. Dept of Labor; act is called Fair Labor Standards Act

5. Fair Labor Standards Act

6. if you need to know annual salary, then mulitply your gross income by the number of payperiods in one year, if you need to know your monthly salary then divide the annual salary by 12 to get monthly.

I will put brainliest
The bowling club at your school had a car wash last week.
They washed 72 cars in 6.5 hours.

About how many cars did they wash per hour?

Answers

Answer:

11.077 cars / 11 cars (nearest whole number)

Step-by-step explanation:

6.5 hours → 72 cars

1 hour → 72/6.5 cars = 11.077 cars (5 s.f.)

Evaluate the following expression. Express your answer in simplest form.
3
16
+
5
18
1
2
5
16
10
32

Answers

Answer:

518125161348

Step-by-step explanation:

                316

518125161032

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

518125161348

During a review game, Mr. TooMuch's class correctly answered 68 questions on the first try. If there were 74 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal in the form of 0.ABC.

If necessary, round to the nearest thousandth.

Answers

I'm not sure but maybe the answer is :
68 / 74 = 0.919

A river flows due south at 1.4 mi/h. In what direction should the swimmer head, at a velocity of 3 mi/h, in order to arrive at a landing point due east of his starting point? (Round your answer to one decimal place.)

Answers

Solution:

It is that a river is flowing in the south direction with a speed of [tex]$v_r$[/tex]1.4 mi/h.

A swimmer wishes to cross the river in a horizontal direction so that he lands at a point which is due east of his starting point.

The speed of the swimmer is [tex]$v_s$[/tex] = 3 mi/h

Therefore he has to swim in such a direction that his resultant is in the direction east to his starting point.

Let this angle be θ.

Therefore, from the figure,

[tex]$\sin \theta = \frac{v_r}{v_s}$[/tex]

[tex]$\sin \theta = \frac{1.4}{3}$[/tex]

[tex]$\theta = \sin^{-1}(0.46)$[/tex]

  [tex]$=27.4^\circ[/tex]

Therefore, the swimmer has to swim in the northeast direction making an angle of (90+27.4) = 117.4° with the direction of flow of river (i.e. south).  

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