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

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

Find the value of x .
K
M
(2x – 10)
(2x + 400°
N

Answers

Answer:

the angles all sum up to 360. is a circle therefore x = 60

Step-by-step explanation:

90 + 2x - 10 + 2x + 40 = 360

120 + 4x = 360

4x = 360 - 120

4x = 240

x = 60

the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?

please help

Answers

Answer:

-66

Step-by-step explanation:

If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.

Find the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x )​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x ) is -4

Answer:

[tex]\huge\boxed{\sf -4}[/tex]

Step-by-step explanation:

The given polynomial is:

4y - 13 - 5z - 4x

Coefficient:

The term/number (along with the sign) with that certain variable is called coefficient.

x has the coefficient of :

-4 (number along with x)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

someone help me with this it’s literally easy but i’m still having a hard time to do it

Answers

Answer:

m2= 83 m1=97 m4=83

Step-by-step explanation:

m3 and m1 are corresponding by being verticle so they're the same

m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.

m2 and m4 are corresponding by being verticle so they're the same

5(x-a)=3(x+b)

Solve for x

Answers

Answer:

[tex]x=\frac{3b}{2} +\frac{5a}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(x - a) = 3(x + b)

5x - 5a = 3x + 3b

      2x = 5a + 3b

        x = 2.5a + 1.5b

When a guy says i cheated just to let the world know what does it mean?
Answer ASAP

Answers

Answer:

He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.

Answer:

it means that he was dating another person while already dating

Step-by-step explanation:

it like when ur dating 2 people at one time without the other person knowing

how do i multiply 4000x by the square root of 42

Answers

Answer:

25922.963

Step-by-step explanation:

the square root of 42 is 6.48074069841

4000*6.48074069841 is 25922.9627936

Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units.

Answers

Answer:

Hello!

This word problem uses the common equation called; [tex]A=Pe^{rt}[/tex]

A = Pe^rt

P=700

e= e

r = 0.0542

t = 18

This is what you get when you plug in the according information.

700e^(0.0542*18)

700e^0.9756

=1856.9308

We need to put this into the nearest cent.

=1856.93

Have a great day!

I hope this helps you!

Does (–1, 2) make the equation y = x + 9 true?

Answers

Answer:

(-1, 2) does not make the equation y=x+9 true.

Step-by-step explanation:

y=x+9

(-1, 2)=(x, y)

2=(-1)+9,

-1+9=8,

2 does not equal to 8.

Answer: No.

Elise works for a company that provides short-term loans to working people
who promise to pay back the loan from their next paycheck. Elise works for a
A. payday lender
B. mortgage bank
C. title company
D. credit union

Answers

The answer to your question is "payday lender"

Elise works for a  payday lender.

What is loans?

A loan is when money is given to another party in exchange for repayment of the loan principal amount plus interest.

As, Elise works for a company that provides short-term loans to working people who promise to pay back the loan from their next paycheck.

So, the pay lender is an  organization that lends money to customers who must pay it back when they receive their next pay.

Hence, Elise works for a  payday lender.

Learn more about this concept here:

https://brainly.com/question/26106234

#SPJ2

Christina has 6 pieces of candy in her lunchbox. Rachel gives Christina more pieces of candy. Now Christina has 18 pieces of candy. How many pieces of candy did Rachel give Christina?

Answers

18 - 6 = 12

When subtracting the new amount by the original amount, you will find the change or the amount that Rachel gave

18 - 6 = 12

So, Rachel gave Christina 12 pieces of candy.

Answer:

18-6=12

She gave her 12 more pieces of candy.

hope this helps.

A phone company is offering several different prepaid data plans.


Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data

Answers

What is the question???????

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

The answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Answer this by 4:20 EST and I will mark brainliest

Answers

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = [tex]\frac{-4-a}{9-6}[/tex] = [tex]\frac{-4-a}{3}[/tex]

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

[tex]\frac{-4-a}{3}[/tex] = [tex]\frac{2}{3}[/tex] , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

please help me! i will go ahead and give brainliest!

Answers

Answer:

[tex]6w - 60[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]6(w - 10)[/tex]

[tex](6*w) + (6*(-10))[/tex]

[tex]6w + (-60)[/tex]

[tex]6w - 60[/tex]

Answer:  [tex]6w - 60[/tex]

x - y = 3
b) Work out the value of 2x – 2y

Answers

Answer: 2x-2y=3
Step-by-step
Explanation:

simplest form of 45/120

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 120 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

120 ÷ 15

Reduced fraction:

3

8

Therefore, 45/120 simplified to lowest terms is 3/8.


PLS HELP ITS A MAJOR GRADE AND ITS MY LAST QUESTION I JUST CANT SOLVE IT
THE BEST ANSWER WILL GET BRAINLIEST

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side

x
(6x + 3) + (3x +1) + x + x
6x + 3x + x + x +3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Pls show
Correct Work/ Solution
Identify and explain the error
Share a Strategy

Answers

Answer:

Missing side = x+2

Step-by-step explanation:

The perimeter of the classroom, 6x+3, is equal to the 4 side lengths added up.

In their first line of work, the first plus sign should be an equal sign as follows:

6x+3 = 3x+1+x+x+?

simplify

6x+3 = 5x+1+?

subtract (5x+1) from both sides

x+2 = ?

There's the length of the missing side.

Find the slope. Use point-slope formula to write the equation of the line described. Simplify your equation to slope-intercept form.


Through (5,2), Perpendicular to y=-5/7x

Answers

I don’t know the awnser but hope u find it have a great day :)!!enjoy

50 POINTS!!!
Which is the graph of linear inequality x - 2y = -12?

Answers

Bottom one
I think or not the first one

The mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?

Answers

Answer:

solution

100 tins of corned beef =36 g

1 tin of corned beef = 36÷100=0.36

so, 1 tin of corned beef is 0.36 g.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.81925> rounding up, final answer is x= 9.8

this is long division… please help

Answers

Answer:

23.35

Step-by-step explanation:

The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes.
a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes?
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?

Answers

68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes

The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that μ = 35, σ = 5

68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)

95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)

99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)

`Find out more on three sigma rule at: https://brainly.com/question/25966249

how long did it take for Car A to travel 10 meters

Answers

Answer:

isnt it 5 seconds?

its quite blurry but i think its 5

It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.

Not sure how this works as a fraction to place the dot in the right place

Answers

Answer:

You would place 7/6 one tick to the right of 1, and -2 5/6 one tick to the right of -3

Step-by-step explanation:

What is the value of 1/6 with an exponent of 0

Answers

The answer is 1. Anything to the 0 power is 1.

in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?

Answers

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

A triangle has vertices at A(-3, 2), B(-1, -5) and C(4, 5). The triangle is transformed using the rule ro,o . What are the coordinates of A", B', and C?

Answers

Answer:

I thinck letter c.

Step-by-step explanation:

Because C.