(100 POINTS AND BRAINLIEST)
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?

IMMEDIATE PLEASE.

Answers

Answer 1

Answer:

[tex]-1/13\text{ tub per hour}[/tex]

Step-by-step explanation:

First, let's find how much of the tub was used within the time.

We know that the tub was 2/3 full was Jenna started.

And it was only 1/6 full when Jenna ended.

Therefore, to find the amount used, we can subtract 1/6 from 2/3. So:

[tex]u=\frac{2}{3}-\frac{1}{6}[/tex]

Make a common denominator. Change 2/3 to 4/6 by multiplying both layers by 2. So:

[tex]u=\frac{4}{6}-\frac{1}{6}[/tex]

Subtract and reduce:

[tex]u=\frac{3}{6}=\frac{1}{2}[/tex]

Therefore, 1/2 of the tub was used after 6 1/2 hours.

To find the average hourly change, we will put the amount used over the amount of hours. 6 and 1/2 hours is the same as 13/2 hours. Therefore, the hourly change will be:

[tex]c=\frac{\frac{1}{2}}{\frac{13}{2}}[/tex]

Remember when dividing fractions, we:

1) Flip the divisor (the second number).

2) Change the division sign to a multiplication sign.

3) Multiply.

So:

[tex]c=\frac{1}{2}\div\frac{13}{2}\\\Rightarrow c=\frac{1}{2}\times \frac{2}{13}[/tex]

Multiply straight across and reduce:

[tex]c=\frac{2}{26}=\frac{1}{13}[/tex]

However, since we are using up the tub, our rate will be negative. Therefore:

[tex]c=-\frac{1}{13}[/tex]

Therefore, the average hourly rate was -1/13 tub per hour.

This means that after each hour, 1/13 of the tub will be used up.

Edit: Corrected Wrong Answer

Answer 2

Answer: -1/13 of a tub per hour

Step 1: Subtract.

2/3 - 1/6 = ?

Step 2: Find the common denominator.

4/6 - 1/6 = 3/6.

Step 3: Simplify the fraction.

3/6 = 1/2

Step 4: Put 1/2 over 13/2.

1/2 over 13/2

Step 5: Flip divisor around. Then divide.

1/2 ÷ 13/2

Step 6: Multiply.

1/2 × 2/13 = 2/26.

2/26 reduced = 1/13.

Since it was used, now it is -1/13

Answer = -1/13 of a tub per hour


Related Questions

Which of following BEST defines climate?

Answers

Answer:

climate is the weather in a part of the world.

Answer:

Try C:  Average weather conditions of a region over the long term

Hope this helps!


Josh has some nickels. He says they are worth exactly 33 cents. Can you tell if Josh is correct or not?
Why or why not?

Answers

Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.

a-b-c=9, solve for a

Answers

Answer:

d

Step-by-step explanation:

Answer: a = 9 +b + c

Steps: a - b - c = 9

Subtract -b and -c from both sides:  a - b - c - (-b -c) = 9 - (-b -c)

Simplify: a = 9 +b + c

Plz mark brainliest:)

5x + 6y =200
Solve the equation

Answers

Answer:

x=40-6/5y

Step-by-step explanation:

5x=200-6y

x=40-6/5y


what is 2.2 * 5.1 what is the answer ​

Answers

Answer:

11.22 is the answer thank you

Answer:

11.22

Step-by-step explanation:

Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a​ function?
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.

What are the Slope and the Equation of the Image?

Answers

The answer is 4
Aaaaaaa

Answer:

slope is 4

y=4x+1

Step-by-step explanation:

slope equation is (y2-y1)/(x2-x1)so ((13-5)/(3-1))=4my precalculus taught us to solve for the equation by doing y1=m(x1)+b or y2=m(x2)+bso I did 5=1(4)+b 5=4+b b=1linear equation is y=mx+bso y=4x+1

2) Use the elimination method to solve for x and y.

equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9

solve for y _____
solve for x _____

Answers

Answer:

1: 2x + y = 24

2: x - 3y = 54

Step-by-step explanation:

Answer:

[tex] y = - 3. \\ x = - 13.5[/tex]

Step-by-step explanation:

[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\

equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5

[/tex]

solve for x in the literal equation −14 = xy + z.

Answers

X=-14/y-z/y
Pls mark brainliest if correct

Which equation represents a line which is parallel to the line 7x-5y=-30?

Answers

Answer:

Y=7/5x+8

Is the answer to question don't ask me how I know I cheated

The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have an equation,

7x-5y=-30

Simplifying,

y = 7x/5 + 30/5

y = 7x/5 + 6.

The general formula of line parallel to a given line is,

y = 7x/5 + b, where b is the y-intercept of the line.

Therefore, y = 7x/5 + b is the required line.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

PLEASE HELP PLEASE LIKE NOWWW!!!!!! Which set of numbers is ordered from greatest to smallest?
A
11 2
38 %,
20' 5,0.6
B. O 0.6
11 2
205
38 %
CO
0.6,
2 11
5' 20
38 %
D
38 %
2 11
5. 20
0.6

Answers

Answer:

reword your question i cant read it

Step-by-step explanation:

What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51

Answers

Answer:

A.) 2 x 2 x 2 x 3 x 13

Step-by-step explanation:

here is the factor tree for 312

Hope this helps! :)

12 ÷ –2 = PLEASE HELP ME I NEED HELP FAST

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)

Answers

Answer:

y = 5x + 8

Step-by-step explanation:

Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another.  Thus, given y = (-1/5)x + 9, the slope of any perpendicular is

           -1

m = --------- = 5

        (-1/5)

Starting out with the slope-intercept equation y = mx + b, we get:

-2 = 5(-2) + C, or C = 8

Thus, the desired equation is

y = 5x + 8

The equation of the line that is perpendicular to the given line is y=5x+8.

Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).

What is slope of an equation?

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.

Now, slope =-1/5

-1/m = 5

Put m=5 and the point (-2, -2) in y=mx+c and simplify

That is, -2=5(-2)+c

⇒c=8

Substitute m=5 and c=8 in y=mx+c, we get y=5x+8

Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.

To learn more about the slope visit:

https://brainly.com/question/12861818.

#SPJ2

Which expression is not equivalent to -3-1/2+4y

Answers

Answer:-2x-1/2+6y+3x

Step-by-step explanation:

I just got it right no cap

Help me plz!!!!!!!!!!!!!!!

Answers

Answer:

  $2.40

Step-by-step explanation:

sales tax = 30 * .08 = $2.40

which is the greatest among root 2, 3 root 4 and 4 root 3?

Answers

Answer:

4^1/3 is greatest among the given

Step-by-step explanation:

√2 , 4^1/3 , 3^1/4

Find the LCM of 2, 3 , 4= 12

i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12

= (64)^1/12

ii ) 4^1/3 = 4^4/12 = (4^4)^1/12

= (256)1/12

iii )3^1/4 = 3^3/12 = ( 3³ )^1/12

= (27)^1/12

Therefore ,

(256)^1/12 > (64)^1/12 > (27)^1/12

4^1/3 > 2^1/2 > 3^1/4

4^1/3 is greatest among the given

number

what is y = |x + 4| − 8 reflected over the y axis then translated 2 units down

Answers

Answer: y = |x - 4| − 10

Step-by-step explanation: Reflection over the y-axis switched the first sign and -2 was added to -8 due to the translation 2 units down.

Hope this helps!

Please help this is due today. I will give brainliest

Answers

Answer46789

Step-by-step explanation:

Answer:

35 40 45 50

Step-by-step explanation:

0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five

tres amigos reunieron su dinero para comprar un boleto de 250.00 para una rifa. Lui aporto 50.00, Jaime 125.00 y Rosa 75.00, tuvieron suerte y ganaron un premio de 200.00 entre todos decidieron que las cantidades que les corresponde fueran proporcionales a lo que dieron para comprar el boleto. Cuanto recibió cada uno?

Answers

Answer:

asd

Step-by-step explanation:

Help i dont understand this

Answers

Answer:

b

Step-by-step explanation:

Compare these data sets. The equation of the trend line
is listed below each data set.
LS
HR
w
200 93
158 94
149 66
146 81
138 86
137 75
131 61
116 69
103 55
y = 0.39x + 20.23
R
W
808 93
768 94
655 66
684 81
637 86
619 75
613 61
609 69
563 55
y = 0.15x-23.2
Which statements are true about these data sets?
Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the
Home Runs set.
The Home Runs set has a greater rate of change
than the Runs set.
Done
Intro

Answers

Answer:

The answer is B&E

Step-by-step explanation:

(e is the last one i made a mistake so yea :)

Answer:

the correct answers are B and E.

Step-by-step explanation:

B) Both sets have positive correlation.

E) The Home Runs set has a greater rate of change than the Runs set.

~you're welcome~

The lengths of two coasters are the ratio 3:20. The length of the short roller coaster Is 360m. What is the length of the longer roller coaster? Give your answer in kilometres

Answers

Answer:

2400KM  hope this helps sorry if im

wrong

im not good with ratios and unit conversion

Which of the following properly describe "slope"? Select all that apply.
2279
Y
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)

Answers

Answer:

The answer is A, D, and E. The first answer and then the last two.

Step-by-step explanation:

The first answer and then the last two.

Ingrid's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Ingrid's curtain company wants to make 64 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot I just don't get it

Answers

Answer:

192 ft

Step-by-step explanation:

Number of curtains = 64

Length of each curtains = 36 inches

Total length of curtains = Number of curtains × Length of each curtains

= 64 × 36 inches

= 2,304 inches

1 inch = 1/12 foot

2,304 inches = 2,304 / 12 ft

2,304 inches = 192 ft

She will need 192 ft of the fabric to make 64 curtains each of length 36 inches

The midpoint M of GH has coordinates (7,6). Point H has coordinates (8, 7). Find the
coordinates of point G.
Write the coordinates as decimals or integers.

Answers


label the midpoint
M
(
7
,
2
)

since M is the midpoint of GH then

−−→
G
M
=
−−−→
M
H

m
−−

g


=
h



m
−−
g


=
2
m
−−

h


g


=
2
(
7
2
)

(

4
1
)

g


=
(
14
4
)

(

4
1
)
=
(
18
3
)

A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?

Answers

9514 1404 393

Answer:

4.3 L of 40% solution5.7 L of 5% solution

Step-by-step explanation:

Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...

  0.40x +0.05(10-x) = 0.20(10)

  0.35x +0.5 = 2.0

  0.35x = 1.5

  x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution

  10-x = 10 -4.3 = 5.7 . . .liters of 5% solution

NEED HELP ASAP 10 POINTS BRAINLY IF CORRECT

Answers

Answer:

can u just post a question pls

If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?

Answers

Answer: 20 pages

Step-by-step explanation: 100/5 is 20

Answer:

20 pages

Step-by-step explanation:

Other Questions
Taylor is driving on the freeway at 55 miles per hour. What question finds her distance Somebody help ............................... 14. Given the function f(x) = 3x -9, what is the value of f(6)? Select the correct text in the passage.Read this excerpt from the US Constitution. Which portion of the text is an example of separation of powers?We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.Article. I.Section. 1.All legislative Powers herein granted shall be vested in a Congress of the United States, which shall consist of a Senate and House of Representatives.Amendment ICongress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances. A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.How many tacos did the food truck sell last night?28.8 tacos288 tacos300 tacos2.88 tacos 10times larger than 40 11. Which of the following is an indirect source?A. A source that's cited in another sourceB. A source with no known authorC. A source with no titleD. A source with no publication date Please help 40 points The difference of three times a number and 4 is 8. What is the value of n?a. -1.3C. 4b. -4d. 1.3 Write a short story where the main character needs protection from two different EM radiations Which body system has a function most similar to the role lysosome plays for a cell A 2 1/2 pound bag of grass seed covers 1/8 of an acre. How much grass seed is needed for 1 acre? How can limited resources benefit the problem-solving capability in an organization?A. It encourages one to be resourceful.B. It is cost effective.C. It reduces the time taken to solve the problem.D. It makes one aggressive.E. It makes an employee more efficient Is the word hope a connotation word? How is Nothukula affected by her interaction with Ashley? Harmon recently quit his job that he had worked at for the past 10 years inorder to start his own business, a company that specializes in pet careservices. He has a lot of good ideas, but doesn't have a firm business plan. Amonth after starting his new company, he applied for a loan at a bank so thathe could buy a new office space. Which of the following is likely to be true inthis situation?A. The bank will not care about the lack of business plan becausehe's only been in business for a month.B. The bank will be slow to lend to him because of how long he wasat his previous job.C. The bank might be slow to lend to him because of the lack of afirm business plan.D. Harmon only needs to show the bank his record of income fromhis old job, not his new business. How do chemoautotrophs make energy? what is the change between -15 and 11 match the simplified expressions to an equivalent expression which equation represents a linear function?