The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,48) and (7,168) to find
the number of soda bottles the machine can make
each minute.

The Graph Shows The Relationship Between Timeand The Number Of Soda Bottles A Machine Canmake. Use The

Answers

Answer 1

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.


Related Questions

Y=3x-1 i need help now right now.

Answers

This is not a question lol, positive slope

Y intercept is -1

Slope is 3

How many solutions does this system have?

y = -6x - 5

-2y +7 = 12x


A.
One Solution

B.
Two Solutions

C.
No Solutions ***** (what i think)

D.
Infinitely Many Solutions

Answers

A system of equation may have one, zero or infinitely many solutions

The system of equation has no solutions

The systems of equation are given as:

[tex]y = -6x - 5[/tex]

[tex]-2y +7 = 12x[/tex]

Substitute -6x - 5 for y in [tex]-2y +7 = 12x[/tex]

[tex]-2(-6x - 5) +7 = 12x[/tex]

Open brackets

[tex]12x + 10 +7 = 12x[/tex]

[tex]12x + 17 = 12x[/tex]

Subtract 12x from both sides of the equation

[tex]17 = 0[/tex]

The above equation is not true i.e.[tex]17 \ne 0[/tex]

Hence, the system of equation has no solutions

Read more about solutions of equations at:

https://brainly.com/question/9338739

how to write into fractional expanded form 65.43

Answers

Answer:

6543/100

Step-by-step explanation:

Multiply both numerator and denominator by 10 for every number after the decimal point

65.43 × 100

1 × 100

=

6543

100

If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?

Answers

Answer:

$1728

Step-by-step explanation:

1.5 days is 36 hrs

36 hrs is 2160 mins

2160/30 = 72 (this is the amount of times our money will be doubled)

72*2 = 144

$12*144 = $1728

HELPPPPP PLSSSSSSSSSSSSSSS

Answers

Answer: $54.66

Step-by-step explanation:

The 18% turns into 0.18, they mean the same thing.

46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)

Add tip to the cost.

46.32 + 8.34 = 54.66

Correct me if it is incorrect.

What is the product of y and 10

Answers

Answer:

10y

Step-by-step explanation:

product means to multiply so you would multiply y and 10 so the options would be

10y

y x 10

The following are water temperatures at various beaches in San Diego:
58° 61° 68° 65° 58°
What is the mode of the data set?

Answers

Answer:

Mode is 58 degrees

Step-by-step explanation:

The mode is the number that appears most often. We can see that 61, 65, and 68 only appear one time. However, 58 appears two times. This means 58 is the mode.

please help!! easy but i don't understand <3

Answers

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

he returns on share A follow the market model with coefficients αA = 0.01, βA =
1.25. If at time t, R~ MT = 0.02 and the actual return on share A is 0.025, calculate
∈�At (the error term)

Answers

Answer:

2 or more so it's be like 3 I guess he doesn't have the right for the tiger and in the heights block he it is a great game and to

Simplify. Solve as fast as possible.

Answers

Answer:

-5y

Step-by-step explanation:

[tex]\sqrt{y^2}[/tex] = y if x > 0

-5[tex]\sqrt{y^2}[/tex] = -5y

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

7

Step-by-step explanation:

7

HELLLP ME I GIVE BRAINLIESST


The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

62=14 + 2x
62-14=2x
48=2x
48/2=x
24 answer: 24

Answer:

each pass costs $26

Step-by-step explanation:

12 + 2x = 64

-12           -12

-------------------

2x = 52

x=26

hope this helps! :D

have a miraculous day everybody!!

brainliest is immensely appreciated!!! <3

The cost of a bag of fruits is proportional to the number of pounds. The cost for 1 ⅕ pound of fruit is $6.54. How much does a pound of fruits cost? Write an equation based on your answer.

Answers

From the computation done, the cost of the pound of fruits based on the information will be $5.45.

From the information given, it's stated that the cost of a bag of fruits is proportional to the number of pounds and that cost for 1 ⅕ pound of fruit is $6.54.

Therefore, to calculate the cost of a pound of fruit, this will be:

= 6.54 / 1 ⅕

= 6.54 / 1.2

= $5.45

Therefore, the pound of fruits cost $5.45.

Learn more about equations on:

https://brainly.com/question/13763238

The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.

Answers

Answer:

9 and 21

Step-by-step explanation:

setting up the equation

let x and y represent the two numbers

this means that x + y = 30

x - y = 12

using substitution to solve

if x - y = 12, that can be rearranged to x = y + 12.

substitute x = y + 12 into x + y = 30

you get (y + 12) + y = 30

simplify

2y + 12 = 30

2y = 18

y = 9

plug this into the original equation x + y = 30. this would be

x + 9 = 30

x = 21

the numbers are 21 and 9.

Need help with question please!​

Answers

Answer:

You got this just keep trying i know you can do it even if it is really hard

Step-by-step explanation:

What is the mathematical formula of ligma

Answers

Who's Joe? I am in dire need of therapy.

IR = V (solve for R) *

Answers

Answer:

R = [tex]\frac{V}{I}[/tex]

Step-by-step explanation:

IR = V ( isolate R by dividing both sides by I )

R = [tex]\frac{V}{I}[/tex]

help guys HURRY!!! plsss! :D

Answers

Answer:

B. x+240=425

Step-by-step explanation:

Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)

Answers

Answer: Directix= -1

Focus (11, 2)

Step-by-step explanation:

The answer Is 1
Explanation it’s 1

A rectangle’s perimeter is 86in . Its length is 9in longer than its width. Use an equation to find the rectangle’s length and width.

Answers

Answer:

Step-by-step explanation:

Let width be x

So length would be x + 9

If perimeter is 86, then

2(l+b) = 86

2(x + x+9) = 86

4x + 18 = 86

4x = 68

X = 17

Check:

2(x + x + 9) = 86

2(17 + 17 + 9) = 86

2(43) = 86

86 = 86

Here you go

PLS HELP i will mark brainliest

Answers

Set tay equal to x, and set Omar to be equal to y. Then solve for x, which is done simply by dividing both sides by the y value. The answer is your slope

Write an equation of the line passing through ​(-2​,1​) and ​(3​,2​). Give the answer in standard form

Answers

how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people

Answer:

y=[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

y=m-+x so y=slope+or-y-intercept

Solve for g. Make sure to use scrap paper to show your work.

( 144 + 6 x 8 ) ÷ 3 = g

192
64
48
NO NOT PUT THIS IN A FILE

Answers

Answer:

64

Step-by-step explanation:

P E D M A S

() ² ÷ × + -

6 x 8 = 48

114 + 48 = 192

(192) ÷ 3 = g

192 / 3 = 64

g = 64

Help please I’m begging pls thank you very much

Answers

Answer:

2 × n - 1 = x

Step-by-step explanation:

1 times 2 is 2-1 is 1.

2 times 2 is 4-1 is 3.

And so on.

1 TO 7 2 TO 5 3 TO 1  4 TO 3

find all complex solutions of 5x^2+5x+4=0

Answers

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

---------------------------------

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

----------------------------------

2(5)

-5±sqrt( 25 - 80)

----------------------------

10

-5± sqrt(-55)

--------------------------

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%

Answers

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

Frank rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 76 cents for cach mile driven. Frank had
S152.75 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Frank drove 176 miles.

Step-by-step explanation:

Subtract the base fee from the total payment

152.75 - 18.99 = 133.76

divide the remaining amount(price for miles driven) by the cost for each mile

133.76 / .76 = 176

176 miles.

On solving the linear equation in one variable, given that there was a base fee of $18.99, and there was an additional charge of 76 cents for each mile driven, Frank had $152.75 when he returned the truck, the number of miles driven were 176 miles.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable.

Let the number of miles driven be x.

Given in the question,

base fees = $18.99

charge per mile = 76 cents = $0.76

The equation of the total cost becomes :

= base fees  + charge per mile * number of miles

= 18.99 + 0.76x

Given the total cost = $152.75

Equating the two values,

= 18.99 + 0.76x = 152.75

= 0.76x  = 133.76

= x = 176

Learn more about  linear equation here

https://brainly.com/question/32634451

#SPJ2

BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?

A.
Jared oils the large press that forms the Styrofoam.

B.
Jared makes a schedule for Styrofoam deliveries.

C.
Jared tests the air quality in the room where the Styrofoam is stored.

D.
Jared designs the assembly line for the factory.

Answers

Answer: I looked it up please give a brainliest if correct:

Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.

Answer:

I would say D.

Step-by-step explanation:

Please double check i don't want you to fail your quiz

Here is my question ​

Answers

Answer:

[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

Step 1 :

4 - 1 [tex]\frac{3}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex]

Step 2 :

1 ÷ 2 [tex]\frac{2}{5}[/tex] = 1 × [tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]

Step 3:

[tex]\frac{2}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8+5}{12}[/tex] = [tex]\frac{13}{12}[/tex] = 1 [tex]\frac{1}{12}[/tex]

Step 4:

3 ÷ [tex]\frac{13}{12}[/tex] = 3 × [tex]\frac{12}{13}[/tex] = [tex]\frac{36}{13}[/tex] = 2 [tex]\frac{10}{13}[/tex]

Step 5:

1 - 2 [tex]\frac{10}{13}[/tex] = - 1 [tex]\frac{10}{13}[/tex] = - [tex]\frac{23}{13}[/tex]

Step 6:

1 - [tex]\frac{16}{39}[/tex] = [tex]\frac{23}{39}[/tex]

Step 7:

[tex]\frac{23}{39}[/tex] ÷ ( - [tex]\frac{23}{13}[/tex] ) = - [tex]\frac{23}{39}[/tex] × [tex]\frac{13}{23}[/tex] = - [tex]\frac{1}{3}[/tex]

Step 8:

[tex]\frac{3}{8}[/tex] - ( - [tex]\frac{1}{3}[/tex] ) = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]

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