At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.

A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.

B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Initial value is 20 as there are already 20 boxes ready for shipment.

Each hour 40 - 5 = 35 boxes are ready for shipment

The linear function for this case is:

y = 35x + 20

35 is the slope or rate of change, 20 is the y-intercept.

y- the number of boxes ready for shipment after x hours.


Related Questions

Match each expression on the left to the equivalent decimal.
4.6
5.6
5.7
6.7

2.63 + 3.07
9.4 - 4.8
3.92 + 1.68
8.5 - 1.8

Answers

Answer:

1. 5.7

2. 4.6

3. 5.6

4. 6.7

Step-by-step explanation:

I need help please LOL

Answers

The answer is 5, the 2 are disqualified and 5 remains

need help please help me

Answers

27 x 1/9 is equivalent to 27/9

Answer:

3

Step-by-step explanation:

27×1/9=27/1×1/9

=3

hope it helps!!

A random survey showed that 35 out of 52 people plan to vote for Mr Powell for Mayor. About how many people voted in the election, if 525 voted for Mr Powell

Answers

Answer:

780

Step-by-step explanation:

35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.

Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.

Answer:

780

Step-by-step explanation:

find the slope of the line

Answers

Answer:

A. 3/4

Step-by-step explanation:

Find the 2 points, then count how many boxes it goes up and over to the second point.

Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for the store by researching the items in the soup and their packaging to determine how many of each he will need. Explain. AlternativeText

Answers

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlic

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\overline 3[/tex] gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

[tex]0.\overline 6[/tex] cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

[tex]Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12[/tex]

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\mathbf{\overline 3}[/tex] gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × [tex]0.\overline 6[/tex] = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

15 cups of honey beans9 cups carrots12 cups cherry tomato192 oz. vegetable broth10.5 cup turnips6 teaspoon salt8 cups potato onions1.25 teaspoons thyme12 teaspoons garlic

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Solve for m < DBC.......

Answers

Answer:

∠ DBC = 34°

Step-by-step explanation:

∠ DBC = ∠ ABC - ∠ ABD = 64° - 30° = 34°

I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?


0.35

0.05

0.015

3.0

500


In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?


y = - 2/3x + 3

y = -3/2x - 1

y = 2/3x - 1

y = 3/2x + 2

y = 2/3x + 1

Answers

a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.

b. 2y = 3x + 1

y = 3x/2 + 1/2

Perpendicular = negative reciprocal of original function's slope.

3/2 -> -2/3x.

Only the first one fulfills the equation, thus:

-2/3x + 3.

(1) The slope of line b is 0.35. The correct option is A.

(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.

The slope of line b,

b = 0.2 + a

b = 0.2 + 0.15

b = 0.35

(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-

The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,

y = -2/3x + 3

To know more about an equation of the line follow

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#SPJ2

Can abort help me with this math question the right answers

Answers

Answer:

pretty sure its D. 1.6 x 10^9

Yolanda was standing on the middle step of a staircase, painting a wall.She went up four steps to touch up a spot, then she went down five steps to continue painting. When she finished everything within reach,she went down six steps to the first step. Which step was the middle step. How many steps were there in the staircase. Use backwards working​ plzzzz answer i would rate 5 stars.plz help​

Answers

Answer:

hope this helps

sorry if it isn't what you're looking for

Step-by-step explanation:

(x+4)-5)-6 =1

combine the +4 and -5

x-7 =1

add 7 to both sides

x=8

Yolanda started on step 8

Which shows another way to write 6 - 9?

9 - 6

9 - (-6)

6 + 9

6 + (-9)

Answers

the answer is 6+(-9)
6+(-9) is another way to write 6-9

Have you ever wished to be a different gender than yourself?
Why or why not?

Answers

Answer:

No

Step-by-step explanation:

Because I feel whatever gender you are born ,you where born that gender for a reason .

Answer:

Yes.

Step-by-step explanation:

I have always wanted to be a boy, my personality isn't fit for a girl, I act like a boy, I look like a boy on the outside and feel like one on the inside, plus I wouldn't have to be through as much bullying and pain in my life, maybe I would have had a better life then :-(

What is the slope of a line perpendicular to the line y= -42 + 16
a. 1/4
b. -4
c. 4
d. -1/4

Answers

I think you might’ve wrote the problem wrong and meant y = -4x + 16. If that’s the problem than the slope of a line perpendicular to it should be 1/4, since it’s the opposite reciprocal.

the beach ball were packed 12 in each case .if 75 cases were delivered how many beach ball were there in all.

Answers

Answer:

900

Step-by-step explanation:

this question is bothering me help

Answers

Answer:

the First, third, and fifth

Step-by-step explanation:

Since one half of 12 is 6, then those three expressions will be the same since they have the same answer

At a store, a televisionset has a marked price of $25,000. However there is a vat of 17.5% paid on all purchases. How many will the customer pay in total for the tv set

Answers

Answer:

$29,375

Step-by-step explanation:

Find 17.5% of 25,000 and add it to 25,000 to get the total.

25,000x17.5% = 4,375

25,000 + 4,375 =

29,375.

8a +5 = 7b+4 = 5c +2​

Answers

Answer:

a = 1/4, b = 5c -2

If Michael made 12 shots out of 18 what is the percentage of shots made by him?

Answers

Answer:

At least 66%

Step-by-step explanation:

65% of 18 is 11.7

67% of 18 is 12.06

Therefore, at least 66% of the shots where made by Michael.

Step-by-step explanation:

100% = 18

x% = 12

x% = 100% / 100 × x

so,

18/100 × x = 12

18x = 1200

x = 1200/18 = 200/3 ≈ 66.66666...

so, he made about 67% of the shots.

if 42 watts are used in 3 seconds how many watts are used per second?

Answers

Answer:

14 watts per second

Step-by-step explanation:

42 watts/3 seconds=14 watts per second

maggi buys 3/4 of a pound of blueberries and uses 5/3 of them to make a smoothie

hovv many pounds of blueberries did maggi use to make a smoothie???????????????????????

Answers

Answer:

Step-by-step explanation:

it is 5/4 of a pound because because 5/3*3/4 = 5/4

The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14

15

Answers

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

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Helpppppppppppppppp!!!!!!!!!!!!1

Answers

Answer:

There are no values of x that make the equation true. No Solution

Step-by-step explanation:

Answer:

4th option is correct

hope this helps ❤️

Find the z value that corresponds to the given area in the figure below.​

Answers

We are given 0.3770. Since the number is behind 0 on the normal distribution curve, we can infer that 50% of data lies between the left side of the curve to the middle.

Subtracting 0.377 from 0.5, we get 0.123. Looking at our z-scores table (Table A Standard normal probabilities from AP Stats), we can see that -1.16 is closest to our desired value at 0.1230. Thus, z should be -1.16.

what is the answer to 95x-45+-8x[67=

Answers

Answer:

Combine Like Terms:

=95x+−45+−536x

=(95x+−536x)+(−45)

=−441x+−45

Step-by-step explanation:

How many pounds of flour is required to make
7 cakes if 1 cake takes 1 ½ lbs

Answers

Answer:

10 1/2 pounds are needed.

Step-by-step explanation:

7 x 1.5 = 10.5

Nine hundred sixty seven divided by four with remander

Answers

Answer:

240

Step-by-step explanation: If this helped pls give this Brainliest answer.

Answer:

967÷4= 241 r 3

Step-by-step explanation:

The area of Ms. McCarthy’s garden measures 600 square feet. She plants vegetables in 75% of her garden and flowers in the remaining section. What is the area of the garden that Ms. McCarthy plants with flowers?

Answers

100% - 75% = 25%

25/100 x 600 = 150 square feet

Answer

25

Step-by-step explanation:

100% - 75% = 25%

25/100 x 600 = 150 square feet

Explain in your own words the meaning of equivalent
ratios.

Answers

Answer:Equivalent ratios are ratios that make the same comparison of numbers. Two ratios are equivalent if one can be expressed as a multiple of the other.

Answer:

ratios that make the same comparison of numbers

Step-by-step explanation:

i hope thats good for u

Sarah and Emily ran a 324m race. If Sarah ran it in 61.3 seconds and Emily ran it in 60.4 seconds, how much faster was Emily than Sarah? Round to the nearest hundredth and give your answer in meters per second.

Please answer quick people keep answering it with links 3

Answers

Answer: 1.015 meters per second

Express as a trinomial.
(2x – 4)(x + 8)

Answers

Answer:

[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]

(2x - 4) (x + 8)
2x ( x + 8) -4(x + 8)
2x^2 + 16x - 4x - 32
2x^2 + 12x -32
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