A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.

Answers

Answer 1

Answer:

y = 1096x + 5394

Step-by-step explanation:

Given that

The bakery sells 5394 donuts in 2010

And, the bakery sells 10,874 donuts in 2015

We need to write the linear model

So here

we assume that the x be the no of years after 2010

And, y be the no of donuts

Now

x_1 = 0, y_1 = 5394

x_2 = 5, y_2 = 10874

Now the slope is

m = (y_2 - y_1) ÷ (x_2 - x_1)

= (10874 - 5394) ÷ (5 - 0)

= 1,096

Now

y - y_1 = m(x - x_1)

y - 5394 = 1096(x - 0)

y - 5394 = 1096x - 0

y = 1096x + 5394


Related Questions

Find the values of x and y in the special right triangle below.

Answers

Answer:

x=6 y=12

Step-by-step explanation:

30-60-90 triangle

shorter leg is x

longer leg is [tex]x\sqrt{3}[/tex]

hypotenuse is 2x

since the longer leg is [tex]6\sqrt{3}[/tex] than makes x=6

and y=2(6)=12

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

90 mm ..................

Answer:

90 mm^2

Step-by-step explanation:

Divide it in 2 figures

Get the area of the one of 5 * 6 mm = 30mm^2

Then the one of 6 * 10 mm = 60 mm^2

Then just add it up. 90 mm^2

Evaluate f(3m-4) given

Answers

F x(3m-4)
3fm-4f
Answer= 3fm-4f

The expected value of a fair 6-sided die is 3.5.
Which of the following statements are true?
Choose all answers that apply:
А
3.5 is one of the possible outcomes of rolling a fair 6-sided die.
A fair 6-sided die is more likely to land on the number 4 than the number 6.
If you rolled a fair 6-sided die a large number of times, you should expect the average of the
numbers rolled to be about 3.5.

Answers

Answer: if you roll a fair 6 sided for a large number of times the average would be 3.5

Step-by-step explanation:

Khan

3. Triangle JKL is the preimage. Write two algebraic
representations, one for the dilation to triangle I'K'L' and
one for the dilation to triangle J"K"L".
K
K
-241
J"
TL
HOMM Harcourt

Answers

Sjshhsiajshzjzjzjzjzhzuz8283

Find the value of x, if angle X measures 102°.
х
to
w7x+4yº(5x - 4yº
w
Z

Answers

Answer:

A. 13

Step-by-step explanation:

The non-vertex angles of a kite are always congruent. Therefore,

m<X = m<Z = 102°

Sum of all angels of a kite = 360°

Thus:

m<X + m<Y + m<Z + m<W = 360°

Substitute

102 + (5x - 4) + 102 + (7x + 4) = 360

102 + 5x - 4 + 102 + 7x + 4 = 360

Add like terms

204 + 12x = 360

12x = 360 - 204

12x = 156

x = 156/12

x = 13

What are some basic steps that you can take to protect yourself from identity theft or fraud?

Answers

1. Use sharpie to cover up private information before throwing it away (because people can look through your trash for your info). For example: credit card information, your address, etc.

2. Secure your mail box. Get a lock to make sure that people won't steal your credit card information.

3. Never ever leave your receipts behind.

4. Don't lose your credit card!! People can steal it can spend your money!

5. Just don't give random people or friends your credit card information...

Well, I hope this helped! Be careful and stay safe!

Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent

Answers

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

The following is a geometric series.
6+8+11+15+20+26+...
O True
Ő False
Explain why for brainliest

Answers

Answer: false

Step-by-step explanation:

Answer:

False because a sequence is geometric if common ratio of all terms of sequence is same.

here 8/6 is not equal 11/8.

Eg: the sequence 3,6,12,… is geometric because 6/3 = 12/6.

2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?

b. Write the equations:

Answers

Answer:

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Step-by-step explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in             equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270


Find the distance between the points (-15, 3) and (-9, 8).

Answers

I know the answer but I need you to answer my math questions first

Answer:

61 units

Step-by-step explanation:

Mark borrowed $5,500 at 11.5 percent for five years.

How much did Mark pay in interest?

$1,150

$1,520

$1,757

$2,300

Answers

Answer:

   $ 1 , 150

Step-by-step explanation:

A function that has f(-x)=f(x) is known as what type of function?

a one to one function
an even function
an odd function
an asymmetric function

Answers

Step-by-step explanation:

The answer is even function.

ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?

Answers

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

I need the answer pls, answer fast I am I s choool

Answers

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

Find the mean. Round to the nearest tenth. 19, 13, 14, 18, 9, 2, 14.

Mean:

Answers

Answer:

12.7

Step-by-step explanation:

19 + 13 + 14 + 18 + 9 + 2 + 14 = 89

89 / 7 = 12.7142857143

12.7

What is the correct answer I will mark brainlist

Answers

Answer:

3rd

Step-by-step explanation:

MARK AS BRAINLEST!!

The correct answer is C $87.73

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component, and 15% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?

a. Neither tested component is defective.
b. One of the two tested components is defective

Answers

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33

what value is needed to complete the square?
X²-2x + _______

Answers

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

A transformation is applied to the graph of f (x) = 2x2 + 3x - 4 to create a new graph for g(x) = 2x2 + 3x + 7.
Which statement describes the transformation?
OA. The graph will shift up 7 units.
OB. The graph will shift up ll units.
O C. The graph will shift down 7 units.
OD. The graph will shift down 11 units.

Answers

Answer:

b

Step-by-step explanation:

Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%

Answers

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

Express in words 18.01

Answers

what is the question?

Answer:

Eighteen point zero one

Step-by-step explanation:

Eighteen point zero one

Instructions: Find the missing side lengths. Leave your answers
radicals in simplest form.
Please help, no links

Answers

Answer:

Im pretty sure the first one is [tex]4\sqrt{3}[/tex]

and the second is 4

1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1​

Answers

9514 1404 393

Answer:

  (x, y) = (2, -1)

Step-by-step explanation:

A graphing calculator can find a solution quickly. (see attached)

__

The first equation can give an expression for y:

  y = 3x -7

We can substitute this into the second equation:

  2x +3(3x -7) = 1

  11x -21 = 1 . . . . . . simplify

  11x = 22 . . . . . . . add 21

  x = 2 . . . . . . . divide by 2

  y = 3(2) -7 = -1 . . . . using our equation for y

The solution is (x, y) = (2, -1).

Pleaseeeee need this quickly
50 points!

Answers

its CL i think im very sorry if im wrong

Lauren is making string bracelets with black and silver beads added in for decoration.

Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?

Answers

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

What is the greatest number of bracelets that can be made?

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12

To learn more about highest common factor, please check: https://brainly.com/question/26073850

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What is the shape of y=x3?

Answers

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

What is the missing length?
8 mi
Area of shaded region = 33.2 mi?
W =
miles

Answers

When I put the right answer it says wrong

Agree or Disagree? plz help no link plz

Answers

Answer:

Agree

Step-by-step explanation:

Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2

Answers

This is A
………………. ……………

The solutions for the equation 23 - x² - 2x = 0 are:

x = 4

x = -6

Option A is the correct answer.

We have,

To solve the rational equation:

1/(x - 1) - 1/(x + 3) - 1/5 = 0

We need to find the common denominator and combine the fractions on the left-hand side.

The common denominator is (x - 1)(x + 3)(5).

Multiplying each term by the common denominator:

[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

Simplifying:

[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - (x² + 3x  - x - 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0

Simplifying further:

[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0

Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:

23 - x² - 2x = 0

To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:

x² + 2x - 23 = 0

Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:

The quadratic formula states that for an equation in the form

ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and

c = -23.

Substituting these values into the quadratic formula:

x = (-2 ± √(2² - 4(1)(-23))) / (2(1))

Simplifying:

x = (-2 ± √(4 + 92)) / 2

x = (-2 ± √96) / 2

x = (-2 ± 4√6) / 2

Simplifying further:

x = -1 ± 2√6

Therefore,

The solutions for the equation 23 - x² - 2x = 0 are:

x = -1 + 2√6 = 3.89 = 4

x = -1 - 2√6 = -5.89 = -6

Learn more about equations here:

https://brainly.com/question/17194269

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