if I have a bottling machine that fills 15 bottles of water every 6 seconds, what is my unit rate and what would be my slope on a graph?​

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the unit rate is termed as the slope of the line.

We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.

We are given that a bottling machine fills 15 bottles of water every 6 seconds.

We want a unit rate where  1 is in the denominator.

Thus,

unit rate = 15 bottles / 6 seconds

              = 2.5 bottles / 1 second

              = 2.5 bottles per second

Thus,

The unit rate = 2.5 bottles per second

We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.

Therefore,

Slope = 15 / 6

          = 2.5


Related Questions

Idk what to choose!

Answers

I think it's AAS hopefully this helps!

Answer:

AAS

Step-by-step explanation:

im bad at this stuff you can take your risk or look at other answers

9/12 divided by 1/4 in a model

Answers

Answer:

9/3 or 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9/12 divided by 1/4 is 9/12 x 4/1=36/12=3

What is the value of x + y + 5 if x = 6 and y = 15?

Answers

you would add 6+ 15 + 5 = 26

Answer:

26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x + y + 5

x = 6

y = 15

Step 2: Evaluate

Substitute:                    6 + 15 + 5Add:                              21 + 5Add:                              26

PLEASEEE HELPPPP!!!!!

Answers

Answer:

the answer is 9.85

Step-by-step explanation:

the answer is 9.85 because the area is 19.7 so all you have to do is divide it by 2

Find the sale price to the nearest cent
$53 pair of jeans with a 20% discount

Answers

Answer: It is $42.4

Step-by-step explanation: Multiply (0.20)(53), you get 10.6, now that's the price that is discounted, so subtract that from the total, to get $42.4. If you want to check your answer, do 42.4/53 and you would get 0.80, or 80%. That is what you should get since you have a 20% discount from 100% of a product.

Answer:

the sales price is $10.60

Step-by-step explanation:

to find 20% of 53, I multiplied 53 by 20 and 100 by a (i used the variable a to substitute for the answer we are going to get)

53 x 20 = 1060

100 x a = 100a

In order to get "a" we have to divide by 100 for each number.

1060 ÷ 100 = 10.6

100a ÷ 100 = a

in conclusion, a = 10.6, or $10.60 hope this helps :)

Find the missing angle in the triangle below

Answers

Answer:

120

Step-by-step explanation:

Exterior angle theorem

50 + 70 = 120

Answer:

120

Step-by-step explanation:

the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer

vector a~ is 2.54 units long and points in the positive y direction. vector b~ has a negative x component 2.32 units long, a positive y component 2.88 units long, and no ~z component. find a~ · b~ .

Answers

Therefore  [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

Ax=-2.54 Ay=2.32

The sum of two or more vectors is called the Resultant.

The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.

[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]

[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]

[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

learn more about Vector sum: brainly.com/question/10435343

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Please help me the picture is posted above

Answers

Answer: C, D, E

Step-by-step explanation: sub in -3 for x and 6 for y in all equations. Only c and d are true. In the graphs, E is the only one that has the point (-3,6)

Answer:

c, d, and e

Step-by-step explanation:

given a piece wise
function f(x)={2x,x<1 5, x=1

Answers

Pretty sure it’s 16TXI, hope this helps!

Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
Fill in the blanks.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that if we multiply 3 and 4, we get 12.

In other words, 3 × 4 = 12

Thus, 3 and 4 are factors of 12.

now

Given the expression

[tex](a+b+c)(d+e+f)[/tex]

The given expression consists of two factors which are:

(a+b+c)(d+e+f)

We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.

For example, in the expression, 4b + 2, 4b and 2 are terms.

so,

The factor (a+b+c) consists of 3 terms. These terms are a, b and c.Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.

I need some help with this plz​

Answers

x = 0,7
y = 1,73

These are the finals answers

Please help! State which property of equality justifies the statement:

If VR+TY=EN+TY, then VR=EN.

Answers

The property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality

How to determine the property of equality that justifies the statement?

The statement is given as

If VR + TY = EN + TY, then VR=EN

In the above statement, we have the following equation

VR + TY = EN + TY

By applying the subtraction property of equality, we have the following equation

So, we have

VR + TY - TY = EN + TY - TY

Evaluate the  difference in the above equation

So, we have

VR = EN

Hence, the property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality

Read more about subtraction property at

https://brainly.com/question/1601404

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Dasher was super hungry after his big night so he ordered 4 candy cane pies. He ate 3/5 of the pies on the way home. How much pie did he have left when he got home?

Answers

Answer:

He had 3 2/5 pies left when he got home.

Step-by-step explanation:

Hope this helped have an amazing day!

The fraction of candy cane pies that Dasher left is 8/5.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

Number of candy cane pies that Dasher order = 4

Fraction he ate = 3/5

Left = 4 - ate

Left = 4 - (3/5)4

Left = 4(1 - 3/5)

Left = 4(2/5)

Left = 8/5

Hence "The fraction of candy cane pies that Dasher left is 8/5".

For more about fractions,

https://brainly.com/question/10354322

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Mary read six books in January, four books in February, and eight books in March.What
was the average number of books read each month?

Answers

On average she read 6 books per month because 6+4+8=18 then you divide 18 by 3 which equals out to 6

Anybody know the answer to these

Answers

1 and a for part 1 and part b
I think it’s 1 a and 1 b

I'll give brainliesst! just help me please...

Answers

Answer:

The second table shows a linear function

Step-by-step explanation:

The linear function intersect at -2

what is the length of segment AB?

Answers

The answer is 27. You add all of the numbers to together and you get 11x+6=105 then subtract 6 from 105 and that is 99 then divide both sides by 11 and you get 9 then plug in 9 to AB so it will be 3(9)=27

14/54=21/m what is the number for m?

Answers

Answer:

m=81

Step-by-step explanation:

14 x 1.5 = 21

54 x 1.5 = 81

Answer:

m = 81

Step-by-step explanation:

divide by 54/14 from both sides.

you'll remain with 81/m

then divide with m/1 on both sides giving you m= 81

Barinda is considering running for student government. However, she knows she will have to work about 10 hours fewer per week if elected, and she makes $ 7 an hour. The campaign will also cost her about $100 in campaign buttons and posters. What is her opportunity cost for serving on student government if elected if she actively serves for 30 weeks?

Answers

Answer: $2,200

Step-by-step explanation:

The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.

Amount she would lose in wages

= 7 * 10 hours * 30 weeks

= $2,100

Opportunity cost = 2,100 + 100

= $2,200

what is 1 plus -1

I lsdkfjaofh;khr;fjhdkjafh;fdokja;

Answers

Answer:

0

Step-by-step explanation:

ndjejdge Hell wkdbs hru osdhdvgd

Answer: i have no clue

Step-by-step explanation:

A concession stand sells bags of popcorn for $3 and cotton candy for $2. A customer purchased
bags of popcorn as well as cotton candy and spent $12.

Answers

2 bags of popcorn which brings you up to 6$, and an even number, than film the rest of the cash value with cotton candy (3 bags 6$)

So final answer
2 bags of popcorn, and 3 bags of cotton candy

Hope this helps:)
Answer : Two Bags of popcorn and three bags of cotton candy


Explanation: We can do this mentally by multiplying 2*3 and 3*2 which they both equal 6 then we add them to equal 12 have a nice day (:

four consecutive integers sum to 22 what is the least of these integers

Answers

Answer:

4

Step-by-step explanation:

To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.

(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)

4 is the smallest of these four, and thus the least of these.

Question in image. :)

Answers

Answer:

All real numbers greater than or equal to 0.

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, we see that our x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:

[0, ∞) or x ≥ 0 or All Real Numbers greater than or equal to 0.

Help easy math question!!!

Answers

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

[tex]c^{2} - b^{2} = a^{2}[/tex]

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

Answer:

30

Step-by-step explanation:

c=√a^2+b^2

a=√c^2-b^2 = √50^2-40^2 = 30

OPTIONS
Pack of 24 for $1.68
UNIT PRICE
$
per
Pack of 12 for $1.08
$
per

Answers

pack of 6 for $0.34 there u go

if y=2
Evaluate the following expression
4(2y-3)

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

4(2y - 3)

y = 2

Step 2: Evaluate

Substitute in y:                    4(2(2) - 3)Multiply:                               4(4 - 3)Subtract:                              4(1)Multiply:                               4

Answer:

4

Step-by-step explanation:

Substitute y for 2

4((2×2)-3)

Simplify

4(4-3)

Simplify further

4×1

4×1=4

find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

f(x)=4sin(x), [0,π]​

Answers

Answer:  c = pi/2

There is only one value of c that satisfies the requirements.

=======================================================

Work Shown:

Let's compute the function value at the given endpoints of the interval.

[tex]f(x) = 4\sin(x)\\\\f(\pi) = 4\sin(\pi) = 0\\\\f(0) = 4\sin(0) = 0\\\\[/tex]

Which means,

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(\pi)-f(0)}{\pi-0}\\\\f'(c) = \frac{0-0}{\pi}\\\\f'(c) = \frac{0}{\pi}\\\\f'(c) = 0\\\\[/tex]

We want to find all values of c such that the derivative is 0.

This can be rephrased into wanting to solve [tex]4\cos(x) = 0\\\\[/tex] since the derivative of sine is cosine

In other words, [tex]f(x) = 4\sin(x)\\\\[/tex] turns into [tex]f'(x) = 4\cos(x)\\\\[/tex]

Solving that equation leads to:

[tex]4\cos(x) = 0\\\\\cos(x) = 0\\\\x = \frac{\pi}{2}\\\\[/tex]

Use a reference table or the unit circle to determine this.

This is the value of c that satisfies f ' (c) = 0, such that [tex]0 < c < \pi[/tex]. No other value of c works.

If you graphed f(x) = 4sin(x), and only focused on the interval [0,pi], then you'll find that there's a horizontal tangent at the point (pi/2, 4). Note how the endpoints have the same y value so that's why the average rate of change over [0,pi] is 0.

Side note: this is an application of Rolle's Theorem

A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.
Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.

Answers

Answer:You have 2 cards upfront, so the constant term in this linear equation is 2.  The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection).  ;)

y = 2 + (rate of acquisition of cards)(time)

y = 2 + rt

A car travels 195 miles in 3 hours assuming that the distance the car travels write an equation that represent this relationship in the form of d=kt ​

Answers

Answer:

195 = 3 mph

Step-by-step explanation:

This is probly wrong but I tried

The owner where your work explains that you’re paid $8/hour and receives a $25 bonus each month for being the manager. If the owner hands you a check for $250, How many hours did you work this month? Write an equation and solve.

Answers

Answer:

28.125 hours

Step-by-step explanation:

250- the 25 dollar bonus=225

225/8 dollars an hour= 28.125 hours

Answer:

6.25

Step-by-step explanation:

250/8= 31.25

then take away the added bonus

31.25-25= 6.25

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