When Charlotte left her house this morning, her cell phone was 30% charged and it

then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in

terms of t, representing the charge remaining in Charlotte's battery, as a percentage,

t hours after Charlotte left her house.

Answers

Answer 1

Answer:

B = 32.5 - 2.5t

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t


Related Questions

Find the area of the triangle.

Answers

Answer:

A

Step-by-step explanation:

The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.

Answers

Answer: length=27, width 9

Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.

Answer:

Length: 27cm

Width: 9cm

Step-by-step explanation:

Since the length of the rectangle is 3 times the width, we can assume the    width=x and the length=3x.

      P=72cm

     Perimeter= 3x+3x+x+x

Set the 2 equations equal to each other

   72=3x+3x+x+x

Solve for x

   72=8x

   9=x

Length=3x

   Length=9(3)

   Length=27

Width=x

   Width=9

   

Given the following system, the x-value of the solution is -1. Solve for y.

Answers

Answer
Y= 3
Y=3
Explanation
If you need to show work I can put it in the comments:)

Answer:

1. y=3

2. y=3

Step-by-step explanation:

Let's start with the first one, 2x-2y=-8...

Substitute x with -1 -----> 2(-1)-2y=-82 times -1 makes -2 so new equation is ---> -2-2y=-8Now add 2 on each side to get rid of 2 and get this ----> -2y=-6Now divide -6 by -2 to get this ---->  y=3

Let's start with the second one, 2x+2y=4

Substitute x with -1 -----> 2(-1)+2y=42 times -1 makes -2 so new equation is ---> -2+2y=4Now add 2 on each side to get rid of 2 and get this ----> 2y=6Now divide 6 by 2 to get this ---->  y=3

I hope my explanation and answer helps:)

How do you name the median of this triangle?​

Answers

Answer:

F

Step-by-step explanation:

The median is always the letter in the middle

Can someone plz explain I would appreciate it

Answers

Answer:

Angle of depression

Step-by-step explanation:

A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?

Answers

Answer: 39,600

This is what the cars value is after 1 year.

Answer:

Step-by-step explanation:

45,00 -12% =39,600

the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600

which =5,400

hope this helps!

can I get brainliest please?

Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9

Answers

Answer:

9

Step-by-step explanation:

because thats the answer i just did the quiz

have a good day

The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

How to find the solution to a quadratic equation?

Given the quadratic equation

(x+2)^2=a

If one of the solution is 1, then x = 1

substitute

(1 + 2)^2 = a

3^2 = a

a = 9

Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

Learn more on quadratic equation here:https://brainly.com/question/1214333

If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22

Answers

Answer:

C.  2 ( x − 3 ) = 22

Step-by-step explanation:

if x = 14

2 ( x − 3 ) = 22

2 (14 - 3) = 22

2 (11) = 22

22 = 22

therefore, the answer is C.

In one year, Linda's parents spend $2400 on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family's income? *

Answers

Answer: $200

Step-by-step explanation:

Given: In 1 year ,

Linda's parents spend $2400 on cable and internet service.

If they spend the same amount each month, Monthly payment = [tex]\dfrac{\text{Total money spent in 1 year}}{\text{Number of months in a year}}[/tex]

[tex]=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200[/tex]

Hence, the resulting monthly change in the family's income = $200

PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)

Answers

The answer is A I think

What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon

Answers

Answer:

180 degrees

Step-by-step explanation:

A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?

Answers

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?

Answers

Answer: 33 votes

Step-by-step explanation:

First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:

= 60% × 220

= 0.6 × 220

= 132 students

Sonia has received 25% of the casted votes. The number of votes Sonia got will be:

= 25% × 132

= 0.25 × 132

= 33 votes

Layla has received 75%. Her votes will be:

= 75% × 132

= 0.75 × 132

= 99 votes.

50% of the total votes will be:

= 50% × 132

= 0.5 × 132

= 66 votes

The number of votes needed by Sonia to receive 50% of the total votes will be:

= 66 - 33

= 33 votes

A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?

Answers

Answer:

The person above meh

Step-by-step explanation:

Answer:

b. 29

Step-by-step explanation:

Solve 2 + 1/6x = -4.
X=

Answers

First, isolate x. Subract 2 from both sides.
1/6x = -6.
Then, to get rid of the coefficient on x, multiply both sides by 6.
x = 36

I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.

Answers

A, C and D because the angles are named in order. Q=T R=U and so on

(SHOW YOUR WORK) 67.5+23.57

Answers

67.5 + 23.57=
91.07

[tex] \: \: 67.5 \\ + \underline{23.57} \\ \: \: \: \: \green{\boxed{ 91.07}}[/tex]

I need help please lol

Answers

Answer:

Omg I have a test too and it's due at midnight :/

Step-by-step explanation:

Omg i bave a test too it’s tonight

Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?

Answers

18.17$ I believe. Not sure though

Answer:

The tip that the family gave the waiter is 16.69$

I NEED THIS FAST!

You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?

Answers

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

find the inverse ratio of 12:13

Answers

Answer:

13/12

Step-by-step explanation:

The owner of a pet store sells 5 goldfish for $9 . What is the cost in dollars for one goldfish

Answers

Answer:

The answer is C.

Step-by-step explanation:

Took the lesson on edge 2021

Find the LCM of 3, 5, and 20.
Plz help

Answers

Answer:

60

Step-by-step explanation:

3×20 is 60, and it works with 5, and it is the smallest possible Multiple

Answer:

60

Step-by-step explanation:

Find the prime factorization of each number:

3 = 3

5 = 5

20 = 2^2 * 5

LCM = product of common factors with greatest exponent and non-common factors.

LCM = 3 * 5 * 2^2 = 15 * 4 = 60

A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation

Answers

Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.

25 POINTS!!!! AND BRAINLIEST!

1. An internet company surveyed their users. The first 25 people who responded gave the ages shown below. Answer the following questions and create a histogram to display the data.

(You may want to make a frequency table to help organize the data)
What intervals would you use to make the histogram?
Find the mean, median and mode of the data
Find the mean absolute deviation for the data
Identify skew of the data (normal or asymmetric)
Identify any peaks, gaps or clusters in the data from the histogram

Age of internet users:
25, 43, 65, 12, 8, 30, 44, 68, 18, 21, 25, 33, 37, 54, 61, 29, 31, 38, 22, 48, 19, 34, 55, 14, 21


2. What does it mean for data to have variability as it refers to statistical questions? Give an example.

Answers

It would mean for them to. Sooo like One of the basic forms they would use for the internet will help over however many people work there. If median and mode is 25 you would want to set the numbers together



.... hope this helps?

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3

-48x7y3

-48x10y2

Answers

Answer:

C.

-48x7y3

Step-by-step explanation:

The next answer on edge is also C. 9a8 + 24a4 + 16

The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.

What is multiplication?

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given the two terms,

-8x⁵y² and 6x²y

If we multiply

-8x⁵y² ×  6x²y = (-8)×6 × x⁵y² × x²y

⇒ - 48 × x⁵x² y²y¹

⇒ - 48 × x⁵⁺²y²⁺¹

⇒ - 48x⁷y³

Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".

For more information about multiplication,

brainly.com/question/14059007

#SPJ2

Please help I really need it I am in a timed test I will choose brainliest!

Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).

Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0

Answers

I think the answer is a.

Answer:

Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.

[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]

Step 2: Now we write the equation in slope-intercept form.

[tex]y = -4x[/tex]

Step 3: We can now change the above equation to standard form by moving variables to one side.

[tex]y = -4x\\\\4x + y = 0[/tex]

Our answer is D. 4x + y = 0.

*Slope-intercept form: y = mx + b.

Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket

Answers

Given :

On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .

The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.

To Find :

The price of a senior ticket and the price of a child ticket.

Solution :

Let, price of senior ticket and child ticket is x and y respectively.

Mathematical equation of condition 1 :

10x + y = 85    ...1)

Mathematical equation of condition 2 :

5x + 7y = 75    ...2)

Solving equation 1 and 2, we get :

2(2) - (1)   :

2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0

10x + 14y - 150 - 10x - y + 85 = 0

13y = 65

y = 5

10x - 5 = 85

x = 8

Therefore, price of a senior ticket and the price of a child ticket $8 and $5.

Hence, this is the required solution.

 

brainlest for whoever gets it right

3/4 - 1 and 1/2

Answers

Answer:

-0.75

Step-by-step explanation:

Answer: the answer would be -0.75, or -3/4

Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working​

Answers

Answer:

Roman civilization lasted for 985 years.

Step-by-step explanation:

Given that Roman civilization began in 509 BC and ended in 476 A.

All we have to do is to subtract -579 from 476.

i.e.

[tex]476 - (-509)[/tex]

[tex]=476+509[/tex]

[tex]=985[/tex] years

Thus, Roman civilization lasted for 985 years.

Other Questions
1) Find a unit rate for the following ratio. 135 words: 3 minutes2 points45 words: 1 minute50 words: 1 minute40 words: 1 minute100 words: 2 minutes An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the students in these classes are boys, about how many boys are in her first two classes? A. 36 B. 15 C. 8 D. 7 In the first phase of the occupation mission Third Army was to do what?Take the bridges over the Rhine RiverCollect and process German military equipmentKeep the Germans from attacking againConduct war games to use up war stocks In ARST, mZR = (5x + 15)", mZS = (6x + 8), and mZT = (4x + 7).What is the value of x? $75 jacket: 5% markup (HELP ASAP)Sample Response: After the drought, there was very little water and many plants died, so the remaining environment was mostly brown. Because of this, having brown coloration was a favorable adaptation for frogs. The brown frogs are the ones that survived and reproduced, causing the number of brown frogs to increase. Having green coloration, on the other hand, was an unfavorable adaptation because they were unable to blend in with the surrounding environment. They became less likely to survive and reproduce, causing the number of green frogs to decrease.What did you include in your response? Check all that apply.After the drought, the remaining environment was mostly brown.Having brown coloration was a favorable adaptation because it allowed the frogs to blend in with the surrounding environment.The brown frogs were the ones that survived and reproduced, causing the number of brown frogs to increase.Having green coloration was an unfavorable adaptation because the frogs were unable to blend in with the surrounding environment.The green frogs were less likely to survive and reproduce, causing the number of green frogs to decrease. (add me on discord Mami#2679)lol oh the options are (The spirit of the laws, petition of rights, magna carta) second ones are (mayflower compact, Magna Carta, Great law of peace) how is the information technology Career Cluster different from the others clusters? El extremo de una cuerda se mueve de tal manera que las partculas de la cuerda emplean 0.25 segundos para producir una vibracin. Cul es el periodo? Y Cul es la frecuencia de la vibracin producida What role does authenticity play in society?I will give brainlist!! ASAP plsssss answer the questions and I give brainlist if you complete it.make sure its right Density is measured in units of mass per units of volume. It can be thought of as a unit rate. The mass of a block of aluminum is 9.45 grams. The volume is 3.5 cubic centimeters (cm).What is the density of aluminum?I NEED HELP ASAP PLZ 20.PTS Roosevelt states that it would be ruinous to permit every lawless capitalist, every law-defying corporation, to take any action, no matter how iniquitous, in the effort to secure an improper profit and to build up privilege. List three ways that an individual or a corporation might secure an improper profit or unfairly build up privilege. How did the expansion of bother did the expansion of voting rights before 1828 lead to Andrew Jacksons election? Foods like potatoes, breads, and pies are known as? What makes e-mail different from other forms of business communication? Translate into Latin:The messengers have sailed away from the homeland.We immediately invited our new friends to dinner. The small boy carried the wine into the garden. The angry slaves attacked the walls of Rome. Many of the girls have given gifts to the goddess. Austin makes aCommission of 20% onhis sales each week.Last week, his saleswere $520. How muchwas Austin'sCommission? The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound. What are functions of the roots in seed plants? (Choose all that apply)stores food for the plantaids in reproduction of the plantanchors the plantabsorbs nutrients for the plant