Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answers

Answer 1

Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. [tex]Initial = 244[/tex]

2. [tex]b = 244 + 52h[/tex]

3. 660 boxes

Step-by-step explanation:

Given

[tex]Rate = 52\ per\ hour[/tex]

[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

[tex]Boxes = Rate * Hours[/tex]

[tex]Boxes = 52 * 3[/tex]

[tex]Boxes = 156[/tex]

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

[tex]Initial = 400 - 156[/tex]

[tex]Initial = 244[/tex]

Solving (b): Linear function

[tex]b = boxes[/tex]

[tex]h = hours[/tex]

Since, we have the rate and the initial number of boxes.

The linear function is:

[tex]Boxes = Initial + Rate * Hours[/tex]

i.e.

[tex]b = 244 + 52 * h[/tex]

[tex]b = 244 + 52h[/tex]

Solving (c): Boxes at the end of the 8th hour

We have:

[tex]b = 244 + 52h[/tex]

In this case:

[tex]h = 8[/tex]

Substitute 8 for h

[tex]b = 244 + 52 * 8[/tex]

[tex]b = 244 + 416[/tex]

[tex]b = 660[/tex]

Hence, there are 660 boxes at the end of the 8th hour


Related Questions

Help ASAP please. I’ll give you brainliest

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Answer:

x= -83.4

830÷50= 16.6

17 coaches would be needed

£5,850

Answer:

x=1660

the value of 830÷50 is 16.6

it will take 5850 to hire 13 coaches

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Answer:

hi

Step-by-step explanation:

I need help on this too

Answer:

first one

Step-by-step explanation:

do i really need an explanation like come on

7 + 2 + 5 + 1 +5=?

hmmmmmmmmmmm​

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Answer:

20.. ... ...... .. ........

Which pair of expressions is not equivalent? A 3(2a + 5) and 6a + 15 B. 4x – 7 + 5x + 5 and 9x + 12 0. C. 80 - 6) and 8j – 48 D. 9b + 4 + 3b - 9 and 12b - 5​

Answers

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Answers

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

At Mary’s fruit stand, a basket of cherries costs $4 and a basket of peaches costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of peaches were sold?

Answers

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Pls help
(Pls just give answers, I’m really tired ok )

Answers

Answer:

See attached

Step-by-step explanation:

The answers are in the picture below

Answer:

1) 11-y= -9

2)41+w= 26

3)r/6= 4

4)18×p= 54

5)v/-4= 13=>v= -54; yes

6)108= -36z=>z= 108/(-36)=>z= -3; yes

7)27=n-16=>n=27+16=>n=43;not a solution

8)84=78+t=>t= 84-78=>t= 6; not a solution

9)a/2=36------------B. What number divided by 2 equals 36?

10)2a=36------------C. 2 times what number equals 36?

11)2+a=36-----------D. 2 plus what number equals 36?

12)a-36=2-----------A. What number minus 36 equals 2?

Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?

A. 21
B. 77
C. 91
D. 115
E. 143

Hint : Use Wilson's Theorem[tex].[/tex]​

Answers

Answer:

C. 91

Step-by-step explanation:

Rewriting the given as factors:

12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

7*13 = 91

So correct choice is C

which trends are reshaping the business, microeconomic and microeconomic environment and competitive arena?​

Answers

Honestly I don’t even know what this is sorry I tried

Help please, it’s due today

Answers

Answer:

X = 37

Step-by-step explanation:

A triangles angles add up to 180. You have two of the three. You can do

x + 45 + 98 = 180

then simplify

x + 143 = 180

subtract 143 from both sides

x = 37

What should be done to sove the equation?
X-17=11
Add 17 to both sides.
Add17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

Answers

add 17 to both sides-

Which expression is equivalent to -21/4/-2/3​

Answers

Answer:

ummmmmmm

Step-by-step explanation:

c

What is measure p angles has 5 sides

Answers

Answer:

[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]

Step-by-step explanation:

In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.

A) The sum of the measures in a pentagon will be 540° (We know this because the angle sum formula tells us that an n sided polygon angles will have a sum of  [tex](n-2) \cdot 180[/tex] - 180 * 3 = 540).B) Equations can represent angle measures, added together will help us determine their value.

Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.

[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]

Let's solve for x.

Combine the angles we already know:[tex]132 + 128 =260[/tex] Combine like terms: [tex]260 + 13x - 19=540[/tex] Add 19 to both sides, subtract 260 from both sides: [tex]13x =299[/tex] Divide both sides by 13: [tex]x = 23[/tex]

Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.

[tex]4 \cdot 23 + 2[/tex] [tex]92+ 2[/tex] [tex]94[/tex]

Therefore, the angle of measure P is 94°.

Hope this helped!

help please tell me if its a b c or d​

Answers

Answer:

C

Step-by-step explanation:

just did it

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Brothers and sisters, I am in need of assistance from someone FAR smarter than me

Answers

The answer is a because the inter center is the angle where all the angles meet in the middle

help don't answer if you don't know​

Answers

Answer:

not 100% confident but I think this is at least close

Step-by-step explanation:

solve for one variable

1. x-5y=2

x=2+5y

plug this in to another equations and simplify

2. (2+5y)-y=16

2+4y=16

4y=14

y=3.5

this can be plugged in to all other equations to find x

1. x-5(3.5)=2

x-17.5=2

x=19.5

2. x-(3.5)=16

x=19.5

3. 2x-(3.5)=5

2x=8.5

x=4.25

4. x-3(3.5)=4

x-10.5=4

x=14.5

Drag the values from the problem and fill in the blanks to create and solve a system of equations.
Overview
KM
First
<
Previous
>
Skup
Huck has a handful of coins. There are 13 total
coins and he only has nickles and dimes. He knows
that he has $1.05 in total money. How many dimes
and nickles does he have?
x + y = |(13
Let x = # of nickels
Let y = # of dimes
y = ||1.05
Equation for the
number of coins
Remember
X
Give up
X +
Equation for the
value of the coins
Submit
X =
y =

Answers

Answer: uhhh

Step-by-step explanation:

What is the square root of -16?

Answers

Step-by-step explanation:

3 is the correct answer

4i would be the correct answer.

Mrs. Feinstein recorded the weight, in pounds, of each of her 8 great-grandchildren, Her data are shown 45. 52. 31. 27. 38, 60, 44, 55 What is the mean absolute deviation of the data? a 0 pounds b. 9 pounds C 10 pounds d. 44 pounds​

Answers

Answer:

D. 44 pounds

Step-by-step explanation:

I believe this is the answer, I have not done this in a while so let me know how I did :)

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Enter your answer in the box.
m∠EBC = °
Rhombus A B C D with diagonals B D and A C intersecting at E.

Answers

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

Helpppp meee plssss I’m stuck on this question

Answers

It would be 2 to the 12 power to get 4096

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have blonde hair

Answers

This question is incomplete, the complete question is;

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have blonde hair ?

Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Blonde Red Brown Black Gray

31          25       18      40     42

Answer: the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Step-by-step explanation:

Given that;

HAIR COLOR      FREQUENCY

Blonde                         31

Red                              25

Brown                          18

Black                           40

Gray                            42

Total                           156

So

there were 156 people all together

and out of the 156, 31 of them were blonde.

now the probability that the next person who leaves the lecture will have blonde hair will be;

⇒ 31 / 156 = 0.1987

Therefore, the probability that the next person who leaves the lecture will have blonde hair is 0.1987

5c times 3c squared to the third power

Answers

Answer:

125c^3 * 27c^6

Step-by-step explanation:

(5c * 3c^2)^3

Distribute the cube:

5^3=125 3^3=27

When raising a power to a power we multiply the exponents:

125c^3 * 27c^6

one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​

Answers

Answer: Your going to have to correct your placing of your numbers.

-12 is value of b for equation 27x²+bx+8=0

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

If 2x +9= 23, then 3x =

Answers

Answer:

21

Step-by-step explanation:

First you have to solve for x in the equation 2x + 9 = 23. Cancel 9 on both sides. You cancel 9 by subtracting 9 on the left side and on the right side:

23 - 9 = 14.

Now, you have 2x = 14. To isolate the variable, divide by 2 to cancel out 2.

14 / 2 = 7.

This will give you x = 7. Now that you know what x equals, you can substitute x in 3x. This would make it 3(7), or in other words 3 x 7.

3 x 7 = 21.

This means that 3x would be equal to 21. Hope it helps!

Answer:

to solve typical question like this first u have to find (x)

[tex]2x + 9 = 23 \\ x = \frac{23 - 9}{2 } \\ x = \frac{14}{2} = 7[/tex]

therefore x = 7 then substitute the answer u got for (x) to the 3(x)

3x3×7 = 21

List the multiples of 6 between 6 and 54
in order from least to greatest.

Answers

Answer:

6, 12, 18, 24. 30, 36, 42, 48, 54

Step-by-step explanation:

divide 54 by 6 so you know how many times you have to multiply 6 then multiply 6 by 1, 2, 3, 4, 5, 6, 7, 8, 9 to get the answers.

I don't really get graphs​

Answers

My best guess would be D

help ASAP pls and receive brain list to correct and first ​

Answers

Answer:

I'm pretty sure the answer to this is y=3

answer asap pls no trolls!

Answers

Answer:

<d<e<f

Step-by-step explanation:

the angle order

d is smallest angle

f is largest angle

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