The graph shows how many bottles a machine caps in a certain number of seconds.

A graph showing number of bottles capped on the y axis and number of seconds on the x axis. A line begins at the origin and passes through the points 15 comma 300, 30 comma 600, and 45 comma 900.

Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.

The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.Which of the following is an ordered pair on the graph? What does it represent in this situation?



(45, 90); the machine caps 45 bottles in 90 seconds.



(45, 900); the machine caps 45 bottles in 900 seconds.



(45, 900); the machine caps 900 bottles in 45 seconds.



(900, 45); the machine caps 900 bottles in 45 seconds.

Answer:

b

Step-by-step explanation:

Answer:

The difference is 1 cent

Step-by-step explanation:

1.12/8 is 0.14

1.56/12 is 0.13

subtract and you get 1

Answer: x=4

Step-by-step explanation: 3x+8x= 11x. Divide 44 by 11 and it equals 4

Answer:

6850 & 650

Step-by-step explanation:

The question is partly incomplete as it didn't state the cost of ticket sold. Also, it didn't state the total number of tickets sold. But, assuming that the tickets sold were $15 and $25 tickets, and the total number of tickets sold was 7500, then we say that

Let x = the number of $15 tickets sold

Let y = the number of $25 tickets sold

x + y = 7500 y = 7500 - x

15x + 25y = 119000

15x + 25(7500-x) = 119000

15x + 187500 - 25x = 119000

-10x = -68500

x = 68500 / 10

x = 6850 tickets at $15 each

Remember from the first calculation, we said x + y = 7500, then

y = 7500 - 6850

y = 650 tickets at $25 each

All you have to do is substitute the values I assumed for your given value. Thanks

Answer:

10x+35 please give brainliest

Step-by-step explanation:

21x+35-11x

10x+35

Answer:

65%

Step-by-step explanation:

Answer:

Per mile Chau takes 5.8 minutes per mile.

Step-by-step explanation:

To find this answer you would have to do the amount of time divided by the amount of miles. Always remember when dividing time most of the time goes first unless the problem / instructions say differently. So, when you do 50 divided by 10 you will get 5.8. So, Chau takes 5.8 minutes per mile.

I believe the answer is 4.

Step-by-step explanation:

Hope this helps!

Answer:

i think more

Step-by-step explanation:

Answer:

The tax paid by shania is $17.2

Step-by-step explanation:

The computation of the tax paid by shania is as follows:

= Cost of the shania groceries × sales tax rate

= $215 × 8%

= $17.2

by multiplying the cost of the shania groceries with the sales tax rate we can measured the tax paid by shania

hence, the tax paid by shania is $17.2

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

x-intercepts are 0 and 4.

Answer:

Extra 50 bags were collected by the messengers.

Step-by-step explanation:

a) Number of bags of cowries levied as fine by the District Commissioner = 200 bags

Number of bags of cowries collected by the messengers = 250 bags

The difference or extra bags collected above the authorized fine = 50 (250 - 200)

b) The extra 50 bags could be bribes collected by the messengers to settle their own selfish interests.  They could also represent extras freely donated by the villagers for the messengers' trouble.  In the colonial days, when literacy levels were very low among the indigenous peoples of Africa and white men were in charge of governance, it was established that the black "middlemen," called interpreters or messengers, greatly exploited their own people through inflated and wrongful interpretations of fines, contrary to what was levied by the District Commissioners (DCs).

Answer: 21

Step-by-step explanation: We are given that angle ABC is dilated with center P.

Scale factor=3

Angle A'B'C' is formed after dilation of angle ABC.

Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.

After dilation, the size of figure changes.

The initial figure and the figure obtained after dilation are similar in shape.

When two figures are similar then , the angles of one figure are  congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.

The measure of angle ABC=21'

After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'

Because the shape does not change in dilation transformation.

Answer:

The 95% confidence interval for the population mean is between $140.89 and $159.11

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample. So

[tex]M = 1.96\frac{36}{\sqrt{60}} = 9.11[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is $150 - $9.11 = $140.89

The upper end of the interval is the sample mean added to M. So it is $150 + $9.11 = $159.11

The 95% confidence interval for the population mean is between $140.89 and $159.11

Answer:

I think its A

Step-by-step explanation:

I'm not 100% sure but I think its A

Answer:

it is 100 mm side length

Answer:

The correct answer is B.

Step-by-step explanation:

(f o g)(x)

= f(x - 3)

= 2(x - 3) + 1 = 2x - 5.

Hence (f o g)(-2) = 2(-2) - 5 = -4 - 5 = -9.

Answer:

28 short race volunteers

76 long race volunteers

Step-by-step explanation:

Let :

Short races = a

Long races = b

LAST YEAR:

7a + 8b = 804 - - - - (1)

THIS YEAR:

11a + 5b = 688 - - - (2)

Multiply (1) by 5 and (2) by 8

35a + 40b = 4020

88a + 40b = 5504

Subtract

-53a = - 1484

a = 1484 / 53

a = 28

Put a = 28 in equation (1)

7(28) + 8b = 804

196 + 8b = 804

8b = 804 - 196

8b = 608

b = 76

28 short race volunteers

76 long race volunteers

Answer:

The resulting percentage is seventy seven and seven ninths, or approximately 77.78%

Step-by-step explanation:

You can solve this by dividing 56 by 72 and multiplying by 100:

56 / 72 × 100

= 7 / 9 × 100

≅ 0.7778 × 100

≅77.78%

Answer:

an individual's financial irresponsibility may affect them

Answer:

An individual’s financial irresponsibility may affect the community

Step-by-step explanation:

Answer:

L = 131 feet

Step-by-step explanation:

Right Triangles

The cable, the ground, and the radio tower form a right triangle with an angle of 90° located where the ground and the tower meet.

The cable is the hypotenuse of the triangle and the angle of 50° is opposite to the height of the radio tower.

To find the hypotenuse L we use the sine ratio:

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 50^\circ=\frac{100}{L}[/tex]

Solving for L:

[tex]\displaystyle L=\frac{100}{\sin 50^\circ}[/tex]

Calculating;

L = 131 feet

Answer:

12/100

Step-by-step explanation:

Percent is basically per 100 so 12/100

Simplest is 3/25

Answer:

Step-by-step explanation:

Hey, I'm not sure if I am right, but I hope it can create a spark or something.

8. Find x

10x - 1 = 14x - 37      Combine like terms

     +37        +37

10x + 36 = 14x          Combine like terms

-10x          -10x

    36 = 4x                Divide to isolate x

    36 = 4x

     4      4

    9 = x        

You can also do this method with the others.

PS: I am still not sure if this is the right method, lol. I just really want to help.

Answer:

first one is 127,000 second one is 866,000

Step-by-step explanation:

Answer:

272162that's how you round it because 6 is greater than 5 so u can round it up from 0 to 1

Answer:

its to blurry

Step-by-step explanation: