Layla borrowed some money from her friend in order to help buy a new video game
system. Layla agreed to pay the friend back some amount every week until her loan
was paid off. Let L represent the amount Layla owes her friend after t weeks. A graph
of L is shown below. Write an equation for I then state the y-intercept of the graph
and determine its interpretation in the context of the problem.

Layla Borrowed Some Money From Her Friend In Order To Help Buy A New Video Gamesystem. Layla Agreed To

Answers

Answer 1

The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let L represent the amount Layla owes her friend after t weeks.

Using the point from the graph (0, 140) and (7, 0):

L - 140 = [(0 - 140)/(7 - 0)](t - 0)

L - 140 = -20t

L = -20t + 140

The y intercept is 140

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Related Questions

Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.

Answers

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

[tex]P =25000[/tex] -- the principal amount

[tex]R = 4\%[/tex] -- the interest rate

[tex]T=1[/tex] --- the duration

The amount to pay back in this duration is then calculated using:

[tex]A = P(1 + RT)[/tex]

So, we have:

[tex]A = 25000(1 + 4\% \times 1)[/tex]

[tex]A = 25000(1 + 4\% )[/tex]

Express percentage as decimal

[tex]A = 25000(1 + 0.04)[/tex]

[tex]A = 25000(1 .04)\\[/tex]

Multiply

[tex]A = 26000[/tex]

Hence, the amount to pay back is $26000.00

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How can doubling a known fact be helpful when finding products mentally

Answers

Answer:

by doing that

Step-by-step explanation:

if x = y so y is z and you can find thatKegunaan Chi-Square:

Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).

Answer as soon as possible I’ll give 5 stars!!!

Answers

Answer:

B

Step-by-step explanation:

2 times x is 2x

2*8=16

its B

Hey there!

2(x + 8)

DISTRIBUTE 2 WITHIN THE PARENTHESES

= 2(x) + 2(8)

= 2x + 16

Therefore, your answer should be: 2x + 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?

Answers

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Answers

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence [tex]n = 9[/tex].Of the six sides, 2 are 3 or 4, hence [tex]p = \frac{2}{6} = 0.3333[/tex]

The desired probability is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]

[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]

Then:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

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If 108 is added to a number, it will be 5 times as large as it was originally. Find the number.

Answers

Answer:

27

Step-by-step explanation:

let th original number=x

x+108=5x

5x-x=108

4x=108

x=108/4=27

Using substitution, evaluate the expression b-a, if a = -14 and b = -7.
O 21
O -21
-7
7.
Please help

Answers

a = -14
b = -7
b - a
(-7) - (-14)
-7 + 14
7
So the answer is 7

what is solve 10<-2/3(9+12b)

Answers

Ok done. Thank to me:>

help please its overdue

Answers

Answer:

B) 4cm

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

2015

)

Focus:

(

1

,

8061

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

8059

4

x

y

1

2019

0

2016

1

2015

2

2016

3

2019

Step-by-step explanation:

The number of gang-related homicides in 2051 will be 3,104.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

N(x) = x² -2x + 2016

N represents the number of gang-related homicides across the country x years after 2017.

Then the number of gang-related homicides be 2051 will be given as,

N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016

N(34) = 34² - 2(34) + 2016

N(34) = 1156 - 68 + 2016

N(34) = 3,104

The quantity of pack-related homicides in 2051 will be 3,104.

More about the function link is given below.

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Segments CD, GH, and JK intersect point A.

Answers

Answer: HK

Step-by-step explanation:


Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192

Answers

Answer:

7 Iron

Step-by-step explanation:

Just smort

find the mean of 98 100 100 100 100 100​

Answers

Answer:

the mean of this sequence of numbers is 99

Answer:

it is 99

Step-by-step explanation:

Please help!! markup and markdown word problems.


1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?


2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?


3. A painting is on sale at 50% off. The sale price is $320. What was the original price?

Answers

Answer:

Step-by-step explanation:

1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?

$50(1+0.20) = $60

                                                                                 

2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?

$4(1-0.2) = $3.20

3. A painting is on sale at 50% off. The sale price is $320. What was the original price?

X*(1-0.5) = $320

X = $320/0.5

X = $640

HELP MEEEEEEEEEEEEEEEEE!
X +(X+1)+...+2020+2021=2021

Answers

If x is an integer, and

x + (x + 1) + … + 2020 + 2021 = 2021

then of course

x + (x + 1) + … + 2020 = 0

and we can write the left side as a sum,

[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]

with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that

[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]

Recall that

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 +  \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]

Solve for n :

(2020 - n) (n + 1) + n (n + 1) / 2 = 0

4040 + 4039 n - n² = 0

(n - 4040) (n + 1) = 0

⇒   n = 4040   or   n = -1

But we are taking the sum of a positive number of terms, so n = 4040.

Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.

what is 3-4 pls pls pls

Answers

Answer: for 3) 427 hikers

Step-by-step explanation: b + 178 + b = 676

2b + 178 = 676

2b = 498

b = 249 bikers

h = 249 + 178 = 427 hikers

Find the value of 5x + 6 when x = -2

Answers

Answer:

- 4

Step-by-step explanation:

Substitute x = - 2 into the expression

5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4

20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.

Answers

Answer:

2x - 10

Step-by-step explanation:

'x' = amount David has

Alexis = 2x - 10

Find the 53" term of the following arithmetic sequence.
3, 11, 19, 27, ...

Answers

Answer:

419

Step-by-step explanation:

a=3

d=11-3=8

[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

yes that is correct

A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.

• -3.5

Answers

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

 

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

 

Final 8 bit floating point notation is

 

1

1

1

1

0

1

1

1

Step-by-step explanation:

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 ​candies, and the package label stated that the net weight is 396.1 g.​ (If every package has 464 ​candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 ​g.)

Answers

Answer:

The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...

A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?


12 miles

12 miles

25 miles

25 miles

120 miles

120 miles

312 miles

312 miles

Answers

Answer:

25 miles?

Step-by-step explanation:

15=x/4 - 3 how do i solve

Answers

Answer: the answer is x=72

Step-by-step explanation:

Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)

the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:

1/4x-3=15 then add 3 on both sides so 15+3=18

step 2: our equation is now 1/4x=18  (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4

18*4=72 which means x=72

Help!! Simplify the expression?

Answers

Answer:

Here is my answer I have solved hope this helps

Three more than a positive number is twenty less than it’s square. What is the number ?

Answers

Answer:

the +ve no. = 2

Step-by-step explanation:

let the number be x - 3

three more than a positive number = x

acc. to condition

x^{2}x

2

- 20 = x

x^{2} - x - 20 = 0x

2

−x−20=0

x^{2} - 5x + 4x - 20 = 0x

2

−5x+4x−20=0

x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0

(x+4)(x-5) = 0(x+4)(x−5)=0

Case 1

x + 4 = 0x+4=0

x = -4x=−4

the Number cannot be negative because the condition given in question

Case 2

x - 5 = 0x−5=0

x = 5x=5

Hence, the positive number

= x - 3=x−3

= 5 - 3=5−3

= 2=2 hope i help you

In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?

Answers

Answer:

class C

Step-by-step explanation:

a=(17/25)=0.68

b=(13/20)=0.65

c=(7/10)=0.7

It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?

Answers

Answer:

3×g=21

..............

You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?

Answers

Answer: Who the actual fudge gardens anymore????? like what are you an old lady? ur name edna? ethel? doreen? geez louise u are old.

Step-by-step explanation:

Other Questions
help asap!!!! please!! I will give brainliest to whoever gets the right answer a lion is running through the savanna chasing a gazelle. he is using a lot of energy to do this. which process allows his body to produce this energy? Find the slope of the line that passes through (6, 8) and (2, 17).Simplify your answer and write it as a proper fraction, improper fraction, or integer. In "The Yellow Wallpaper," which description of John indicates that the narrator does not trust him? a. When I get really well, John says we will ask Cousin Henry and Julia down for a long visit; but he says he would as soon put fireworks in my pillow-case as to let me have those stimulating people about now. b. He asked me all sorts of questions, too, and pretended to be very loving and kind. c. He says no one but myself can help me out of it, that I must use my will and self-control and not let any silly fancies run away with me. d. John says I musnt lose my strength, and has me take cod liver oil and lots of tonics and things, to say nothing of ale and wine and rare meat. With which statement would Howard Becker be MOST likely to agree?A. Deviant behavior is a requirement for society to function.B. Most people will practice conformity or rebellion at one time in their lives.C. Biology is the biggest factor in determining someones likelihood of performing deviant acts.D. Deviant behavior exists only because people have decided to define it as deviant. On the most recent math test, Ashleyanswered 23 of the questionscorrectly. If she scored 92%, howmany questions were on the test? What is the slope of a line that passes through (2, 4) and (3, 8) Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5). WILL GIVE BRAINLIEST!!! What happened to the 6th Massachusetts when they came to Baltimore? What was the result? Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes? HELP ME PLZ THIS IS CONFUSING TYSMFrom graph A, name a weathering process that you would expect where there is amean annual temperature of -10 C and mean annual rainfall of 800 mm.From graph B, name a weathering process that you would expect at a mean annual temperature of 18 degrees c and mean annual rainfall of 1400mm student lost in the jungleMr.Dimesh B.K.-lost in the jungle - a student if bageshwori school -rescude by a cowboy -on the way ti his school through the jungle -parents heartily thanked him .The news stories Is mechanical energy the result of both kinetic and potential energy? I do not understand Kyle is currently pursuing a degree and in-depth training in forensic science. In the future, he plans to work for a private security agency. Considering his educational background, which type of private security personnel could Kyle work as? A. a security guard B. a private investigator C. a security contractor D. a personal guard A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r after visiting her professors office, rachel writes down everything she remembers seeing there. she correctly remembers many details, but she falsely remembers seeing books even though there were no books in the office. additionally, she did not remember seeing a skull that was in the office. which memory concept best explains why rachel falsely encoded the books and failed to encode the skull? Is anyone aware of the story "The Tell-Tale Heart"? If so can someone help me summarize the story as if you were the narrator? Write a status explaining that you have just been arrested for murder and quickly summarise what has happened. Try to mimic the style of writing the narrator uses throughout the story. I have attached the story in case if needed.I will give Brainliest to whoever answers first with correct information along with 50 points :) Gonna be sending in quite a few of these lol thanks