Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.

Answers

Answer 1

Given:

The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex]  of a ton away as samples.

To find:

what fraction of a ton did they give away?

Solution:

According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,

[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]

[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]

So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.

Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.


Related Questions

13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

Answers

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.

Answers

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?

Answers

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

If an object on earth weighs 42 lbs, what is its weight on the moon?

Answers

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5? ​

Answers

Answer:

In the last two overs, the bowler gave 14 runs.

Step-by-step explanation:

The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.

i.e.

Score given in first 8 overs = 4.5 × 8 = 36

Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.

so, subtract 36 from 50 to get the score he will be giving in the last two overs.

i.e. score given the last two overs = 50 - 36 = 14

Therefore, in the last two overs, the bowler gave 14 runs.

I need help ASAP please
don't troll
with work

Answers

Answer:

[tex]y = 50x[/tex]

Step-by-step explanation:

Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

This means we divide the change in y over the change in x

Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)

[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]

Now we have this:

[tex]y = 50x+b[/tex]

Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:

[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]

Since b is 0, we don't have to write it on our equation, meaning that our final equation is just

[tex]y = 50x[/tex]

To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:

[tex]y = 50\cdot 4\\y = 200[/tex]

Just like it is on the graph :)

Good luck!

Write an equation of the line with a slope of 3 and a y-intercept of -7.​

Answers

y=mx+b. m is the slope and b is the y intercept, which means the equation would be y=3x-7

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

GivenG(x)=4X+4Find G(4)

Answers

Answer:

g(4) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 4x + 4

g(4) is x = 4

Step 2: Evaluate

Substitute in x:                    g(4) = 4(4) + 4Multiply:                               g(4) = 16 + 4Add:                                     g(4) = 20

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx

Answers

Answer:

6732FDX

Step-by-step explanation:

Use calculator

If BC = 3x, CD = 7x, and BD = 10, what is BC?

Answers

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

use the function y=3/2x+3 to complete the table of values

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?

Answers

Answer:  3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction

When she checked the answer by estimating, it did not make sense. What error did Wen make?

Answers

Answer:

-3 Farenheit change per hour

She didnt divide properly

Step-by-step explanation:

PLZ MARK BRAINLIEST.

Answer:

C

Step-by-step explanation:

Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.

Answers

Answer:

9,500

Step-by-step explanation:

show a graph for -12x-3y=36

Answers

Answer:

Here!!

Step-by-step explanation:

Hope this helped!!! have a good day :D

A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?

Answers

Answer: [tex]61.9miles/hr[/tex]

Step-by-step explanation:

given data:

distance travelled by the car =  195 miles

time taken = 3 hours and 15mins

solution

average speed of the car

[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]

Answer:

The average speed is [tex]v=60 miles/h[/tex]

Step-by-step explanation:

The equation of the average speed os given by:

[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)

here:

Δx is just 195 miles

Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)  

So we just need to put this into the equation (1)

[tex]v=\frac{195}{3.25}[/tex]

Therefore, the average speed is [tex]v=60 miles/h[/tex]

I hope it helps you!

HELP NEED FAST!!!!!!

Which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

the second one on the top right

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope


Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound

Answers

Answer:

$12.80 per pound

Step-by-step explanation:

Since there are 16 ounces in 1 pound, we multiply $0.80 by 16 ounces to find how much cinnamon costs per pound. The answer is $12.80.

Hope this helped, Have a Wonderful Day!!

Answer:

$9.60 per pound

Step-by-step explanation:

- 4 ounces = 2.40 each

- 2.40 x 4 (4 because 4x4 is 16 and there are 16 ounces in a pound)

= $9.60

what method is this?

Answers

Answer : nothing
Explaination : “ Nothing Method ” is found by someone in this world

find the missing side length ​

Answers

Answer:

The length of the missing side is

[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]

Step-by-step explanation:

You could do Pythagorean theorem which is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]

PLEASE HELP ME 15 POINTS ILL HIVE BRAINIEST

jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.

Answers

Answer:

209.95

Step-by-step explanation:

Please answer!!!! And show work if possible!!!!! ​

Answers

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

Find the distance between the point A(-4,3) and B(1,6)​

Answers

Answer:

The distance would be (5,-3)

The answer would be (5,-3) your welcome

Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay?

Answers

i speak no english 30% eplhgfddtghwhehejwjejejjwjwjwjwjw

pls help with this problem.

Answers

Answer:

23 is the answer

Step-by-step explanation:

i holed this helped

Answer : -12

a = 4x

plug in the numbers for a and x

3 - 4(-5)

3-15

-12

Hope this helps!!!

f(x) = 2\3x -6 identifiy 0​

Answers

y+1=-1/3 (x-4) would be your answer love! have a nice day

Find the slope of a line that goes through the points (-5,8) and (-7,-5)

Answers

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add:                      [tex]m=\frac{-13}{-2}[/tex]Simplify:                               [tex]m=\frac{13}{2}[/tex]

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

Other Questions
Carla packed this box with 1-centimeter cubes. What is the volume of the box? use the function y=3/2x+3 to complete the table of values Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day. If BC = 3x, CD = 7x, and BD = 10, what is BC? find the missing side length Why wouldnt the purchase of the most advanced technology necessarily provide a nation with a comparative advantage relative to other nations? Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay? In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5? ExpositionIn the story "Funeral" by Ralph Flecther, who are the main characters at the beginning of the story?What is the setting at the beginning of the story? A truck weighs 500 N on Earth. What's the mass of the truck?O 5 KgO 50 Kg500 kg500 NPLEASE HURRY HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx Which of the following statements is most likely to have been said by a Federalist? I'd vote for this new constitution, if it had a bill of rights. The country is falling apart; we must find a way to hold it together. I know something must change, but I am afraid of this new system. I don't want to give up any more liberties; a strong national government is dangerous! TRUE or FALSE: Washington survivedsmallpox as a child and decided toinoculate his soldiers at Valley Forge byhaving surgeons smear live virus into cutson healthy men so they can buildresistance and develop antibodies to fightthe virus if they came into contact with itin the future. A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas? El avin llego antes de la hora los pasajeros estaban contentos. can someone please help me show a graph for -12x-3y=36 should hate speech be regulated? (in a 5 page essay form) The weight of an astronaut plus his space suit on the Moon is only 319 N. How much (in N) do they weigh on Earth? I'm not sure if this is right if I'm not right which is the right one. I will give brainiest