Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Your answer:

Answers

Answer 1

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.


Related Questions

The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)

The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.

Answers

Answer: 75.1

Step-by-step explanation:

Answer:

86.0*

Step-by-step explanation:

i am not 100% sure

Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?

Answers

Answer:

after 2 secs

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbers of miles you have to run in 20 minutes to exceed this rate? (Hint: 1 mile = 5280 feet)

PLEASE PROVIDE AN EXPLANATION, thank you!

Answers

Answer:

2 miles.

Step-by-step explanation: Because 528 times 20 is 10560 then divide by 5280 equaling 2 miles.

Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.

Answers

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

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Is this true or false ??

Answers

I believe the answer is true

There are 252525 students in Ms. Nguyen's second-grade class. In the class election, 444 students voted for Benjamin, 121212 voted for Sahil, and 999 voted for Maria.

Answers

Answer:

What is the question?? The question is not there

Answer:

129870 did not vote or voted for someone else.

Step-by-step explanation:

I don't know what your asking

Find the value
If a=4 b=7, and c=-5
3c

Answers

Answer:

=-15

Step-by-step explanation:

3c

3(-5)

3×-5

=-15

The answer to this is =-15


D
E
F
Using the Pythagorean Theorem, which of the following is true?

Answers

Answer:

D

Step-by-step explanation:

What is the value
14x +18 = 118

Answers

Answer:

[tex]x = 7.142(appx)[/tex]

Step-by-step explanation:

[tex]14x + 18 = 118[/tex]

[tex] = > 14x = 118 - 18 = 100[/tex]

[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]

Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.

Answers

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

[tex]P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25[/tex]

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

please explain steps

Answers

Answer:

122º

Step-by-step explanation:

The interior angles of a heptagon add to 900º. We can write an equation and solve:

(12x-9)º+(9x+14)º+(133)º+(10x+9)º+(10x)º+(136)º+(10x+5)º=900ºCombine like terms, 51xº+288º=900ºSubtract, 51xº=612ºDivide, xº=12º

Now that we know x, we can find the measure of ∠B:

∠B=9(12)+14=108+14=122º

Find the value of this expression if x = 5 and x=2
xy^2 / -3

Answers

Answer:

-20/3

Step-by-step explanation:

here x=5 and y=2 then put the value and get answer.

9.6x10^85/3x10^63 in scientific notation

Answers

Answer:

3.27*10^22

Step-by-step explanation:

Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:

9.6x10^85/3x10^63

= (9.8/3) * (10^85/10^63)

= (9.8/3)  * 10^{85-63}

= (9.8/3) *10^22

= 3.27 *10^22

Hence the expression in scientific notation is  3.27*10^22

Does anyone know? How to do this?

Answers

Answer:

4 operations b/c thats how many is in the box

them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful

Step-by-step explanation:

Using only the values given in the table for the function, f(x)=x^3-3x-2,
what is the interval of x-values over which the function is decreasing ?

Answers

It’s decreasing from -1 to 1.

Identify the graph that displays the speed of a car accelerating onto a highway until it reaches the speed limit, and then continuing on the highway at the speed limit. ​

Answers

Answer: D

Step-by-step explanation:

Graph D shows the car increasing speed over time, then, the flat line shows the car remains at a constant speed. In order for the scenario to apply, there needs to be a line parallel to the x-axis which shows a speed remaining the same over a given amount of time. D is the only graph which has this feature, thus this graph displays the scenario.

which pair of lines are perpendicular

Answers

Answer:

you're right!! its C

Step-by-step explanation:

For lines to be perpendicular, the multiplied slopes of the line need to be -1, so

y=1/3x-1

y=-3x-4

(1/3)*(-3)=-1

therefore, they are perpendicular

A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.

Answers

Answer:

x=6

Step-by-step explanation:

5tgghjkli

hellllllllllllllllp points if you answeer correctly

Answers

Answer:

the answer will be [-3/4,1/2]

Step-by-step explanation:

Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served in months. At the 1% significance level, do the data provide sufficient evidence to conclude that the meantime served for fraud is less than that for firearms offenses? Assume that populations standard deviations are the same for both groups. (i.e., we assume σ1 = σ2 .)

Answers

Answer:

Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

Step-by-step explanation:

Fraud                                        Firearm

15.2      9.2                              20.1          15.7

11.2       15.8                             20.4          9.8

7.2         5.2                             13.1           13.5

7.7         4.9                            20.7           23.1

7.4        9.8                            10.4            22.2            

∑ 93.6                                             169                    

Fraud  (X1i)²                                      Firearm(X2j)²

231.04      84.64                           404.01          246.49

125.44      249.64                          416.16          96.04

51.84        27.04                            171.61           182.25

59.29       24.01                            428.49           533.61

54.76        96.04                            108.16           492.84

∑1003.79                                                  3079.66          

We formulate the null and alternative hypothesis as

H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.

Ha: μ1-  μ2  > 0  i.e. the fraud meantime is greater than that for firearms offenses.

We set the significance level at ∝= 0.01

The test statistic, if  H0 is true , is

t=  x1`1- x`2/ Sp√1/n1+ 1/n2

which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom

The critical region consists of all t- values which are greater than or equal to  t> t(0.01)(18)= 2.522

Computations :

X1`= ∑X1i/n1 = 93.6/10= 9.36

X2`=∑X2j/n2=169/10 = 16.9

∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1

= 1003.79 - 876.096/10

= 100.379- 87.6096

=12.7694

∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2

= 3079.66 - 28561/10

= 3079.66- 2856.1

=223.56

Sp²= 12.7694+223.56/18= 13.129

Sp = √13.129 =3.623

t= 9.36-16.9/ 3.623√0.1+0.1

t= -7.54/ 1.62

t= -4.654

Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

The meantime served for fraud is less than that for firearms offenses.

PLEASE HELP WILL MARK BEST!

Tristan and Devin are brother and sister. Their parents put a total of $200 a month into a
college account. Tristan just graduated from high school, and Devin has two years of high school left.
Suppose Tristan and Devin each graduate college 4 years after they graduate high school, and their
parents will continue to put $200 into the college account monthly until both children have graduated
from college. If there is $10,000 in the account right now, how much money should each child get per
year in order to get an equal share?

Answers

Answer:

I think the answer is 5,000 .

convert 360m/s to km/h​

Answers

Answer: 579.36 km/h miles  to kilometers

  1296 meters to kilometers

Step-by-step explanation: couldnt  tell what you meant so both

 

Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro

Answers

23 I think is the answer

A line passes through the point (2,3) and has a slope of 0, what equation of the line?

A: y=2
B: y=3
C: x=2
D: x=3

Answers

Answer: B

Step-by-step explanation: put the points on a graph

can u pls help with this question ​

Answers

Answer:

noooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answers is probably C


Write the decimal equivalent for 6 1/9

Answers

Answer: 6.11

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

6 × 9 = 54

Step 2: Add the product you got in Step 1 to the numerator:

54 + 1 = 55

Step 3: Divide the sum from Step 2 by the denominator:

55 ÷ 9 = 6.111111

That's it folks! The answer to 6 1/9 in decimal form is displayed below:

6 1/9 ≈ 6.11

Answer b.

Hope this answer helps you

Answer: b 6 1/9 = 6.11

Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)

hope this helped!

Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?

Answers

Answer: y = 40x

Explanation:

Distance = Velocity x Time

In this case:
y represent distance
x represent time
40mi/hr is the velocity

Therefore, y = 40x

An equation that represents the relationships between the time x and the distance y is y = 40x.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An eagle flies 40 miles per hour.

An equation that represents the relationships between the time x and the distance y:

Here, x and y are the variables.

So, the equation,

y = 40x.

Therefore, y = 40x is the required equation.

To learn more about the linear equation;

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The diameter of a circle is 8 cm. What is the area of the circle? Use 3.14 for pi

Answers

Answer:

50.27

Step-by-step explanation:

If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answers

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

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