Nancy left a bin outside in her garden to collect rain water. She notices the 1/2 gallon fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

Answers

Answer 1

Here we want to solve a question involving fractions, we will find that:

3/4 gallon fils the complete bin.

Ok, so we know that 1/2 gallon of water, fills 2/3 of the bin.

We want to find the total amount of water that would fill the entire bin.

So we could write an equation like:

amount of water =  amount of the bin that it fills.

Then, using the above information, we have:

1/2 gal  = 2/3 of a bin

Now we want to get at 1 on the right side, this would mean "1 bin"

Then we multiply both sides by (3/2)

(3/2)*(1/2) gal = (3/2)*(2/3) of a bin

3/4 gal = 1 bin

From this, we can conclude that (3/4) gallons of water would fill the complete bin.

If you want to learn more about algebra, you can read:

https://brainly.com/question/4837080

Answer 2

x = 0,75 gallons      or       x  = 3/4   gallons      The volume of the bin

The volume of the bin is: In terms of a fraction

1  =  3/3      or any unitary fraction   5/5    7/7    9/9

We will take 3/3 since we have the information that 2/3 of the volume of the bin was filled with 2/3 of a gallon

If  2/3 of the volume of the bin was filled with 1/2 gallon then we make a rule of three according to:

If     0,5  gal.         fill    2/3 of the volume of the bin   then

          x   gal         fill     3/3  ( the volume of the bin)

solving

0,5 (gal) * 3/3    =   (2/3)*x       ( The equation)

0,5*3 = 2*x

x  =  (0,5*3)/2

x = 0,75 gallons      or       x  = 3/4   gallons


Related Questions

Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?

Answers

Answer:

Please give me Brainliest!

Step-by-step explanation:

President Kennedy's position on the expense of the space program was that  it would be well worth the high cost.

Explanation:

The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.

The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.

These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.

solve the equation 0.35(x + 4) 0.2

Answers

Answer:

7 • (x + 4)

 ———————————

 100    

Step-by-step explanation:

0.2" was replaced by "(2/10)". 2 more similar replacement(s)

STEP1:        1

Simplify    1

                 -

                5

Equation at the end of step1:

   35              1

 (——— • (x + 4)) • —

  100              5

STEP2:

                 7

Simplify   ——

                 20

Equation at the end of step2:

   7              1

 (—— • (x + 4)) • —

  20              5

STEP3:

Equation at the end of step 3

 7 • (x + 4)   1

 ——————————— • —

  20            5

STEP4:

Final result :

 7 • (x + 4)

 ———————————

 100    

what is the answer to the following?

9+(60x8)-120?

80(50-24)+20?

Answers

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

Ignore blue circles pls help guys!!

Answers

Answer:

y = 40 , 32 , 56 , -32 , -72

Step-by-step explanation:

Plug your x into your equation for the answer.

Brainliest would be appreciated. :-)

Pleaseeeee help ASAP thank youuu!!!!!!!

Answers

Solve the equation for x

Substitute the given value of x into the equation 3x+2y+z=13

Substitute the given value of x into the equation 2x+y+3z=9

Simplify the expression

Substitute the given value of x into the equation -y+9z=1

Solve the equation for y

Substitute the given value of y

Simplify the expression

(x,y,z) = (5,-1,0)

Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same. Please select the best answer from the choices provided A B C D

Answers

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

23. Cost of Car $23,986 with a 5 year loan at 3%

Answers

Answer:

Monthly $431

Total Pay: 25,859.82

intrest: 1,873.82

points frreeeeeeeeeeeee :)

Answers

Answer:

thx m8

Step-by-step explanation:

:)

Answer:

No idea but ok

Find all the perfect cubes between 1000 and 2000.

Answers

There are only 2 perfect cubes in between 1000 and 2000.

11^3 = 1331
12^3 = 1728

If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.​

Answers

Given that

(2a+b,11) and (1,a-3b) are equal ordered pair

⇛(2a+b,11) = (1,a-3b)

On comparing both sides then

2a+b = 1 ----------Eqn(1)

11 = a-3b

⇛ a-3b = 11 ------Eqn(2)

⇛ a = 11+3b-------Eqn(3)

On substituting the value of a in Eqn(1) then

⇛ 2(11+3b) + b = 1

⇛(2×11)+(2×3b) + b = 1

⇛ 22 +6b+b = 1

⇛ 22+7b = 1

⇛ 7b = 1-22

⇛ 7b = -21

⇛ b = -21/7

⇛ b = -3

On substituting the value of b in Eqn(3) then

⇛ a = 11+3(-3)

⇛ a = 11-9

a = 2

Therefore, a = -3 and b = 2

Answer:-The value of (a,b) for the given problem is (-3,2).

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

If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?​

Answers

The three consecutive terms in an AP are (k+1) ,3k and (4k+2)

We know that

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

now ,

Let a = k+1 , b = 3k and c = 4k+2

⇛3k = (k+1+4k+2)/2

⇛3k = (5k+3)/2

⇛2×3k = 5k+3

⇛6k = 5k+3

⇛ 6k-5k = 3

⇛ k = 3

The value of k = 3

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the first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?...

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Which of the following expressions is equivalent to log 5 - k log 2?


Select one answer

Answers

Answer:

C

Step-by-step explanation:

log5- klog2= log5-log2^k = log(5/2^k)

Identify If the gas pressure in a ball is low,

how will it affect the physical properties of

the ball?


HELP PLS!!

Answers

Answer: i hope it was helpful

Step-by-step explanation:

The ball will appear normal or fully blown up with air. It will bounce like a normal ball that is inflated well. The ball will appear deformed and deflated.

Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)


(1, 3), (2, 5), (3, 7), (4, 9)


(1, 3), (1, 5), (1, 7), (1, 9)


(1, 3), (2, 3), (3, 3), (4, 3)

Answers

Answer:

No, Yes, No, Yes

Step-by-step explanation:

A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)

1.

List of inputs: 1, 2, 2, 7

List of outputs: 3, 5, 7, 9

For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function

2.

Inputs: 1, 2, 3, 4

Outputs: 3, 5, 7, 9

Each input only has one output, so this is a function

3.

Inputs: 1, 1, 1, 1

Outputs: 3, 5, 7, 9

For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function

4.

Inputs: 1, 2, 3, 4

Outputs: 3, 3, 3, 3

Each input is only mapped to one output, so this is a function

If a line crosses the y-axis at (0, -3), what is the y-intercept?

Answers

Answer:

Isnt it -3?

Step-by-step explanation:

7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.​

Answers

The answers is 372.00

here what one is right?

Answers

Answer:

B.

Step-by-step explanation:

ANSWER FOR 30 POINTS

Answers

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

The following system of linear equations is solved by graphing them on the coordinate plane.

y=3x−2y=−35x−1

Which ordered pair is the best approximation of the solution to the system?


(0,−1)

(−1,0)

(−1,−1)

(1,1)

Math lol

Answers

Answer:

  (0, -1)

Step-by-step explanation:

Maybe you're graphing ...

y = 3x -2y = -3/5x -1

These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).

How do u solve this?

Answers

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.

Answers

Applying the triangle sum theorem, m∠N = 41°

What is the Triangle Sum Theorem?

Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.

Given the following interior angles of ΔMNO:

m∠M = (6x+1)°

m∠N = (3x-10)°

m∠O = (x+19)°

Find the value of x:

m∠M + m∠N + m∠O = 180°

Substitute

6x+1 + 3x-10 + x+19 = 180

Add like terms

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

m∠N = (3x-10)°

Plug in the value of x

m∠N = 3(17) - 10

m∠N = 41°

Learn more about triangle sum theorem on:

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which coasts the most per disk a 10 pack for 5.99 , a 25 pack for 12.50 or 50 pack for 18.75

Answers

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Factorise fully each of the following:
(a)
2ab + 3cd - cb - bad
-
-

Answers

Answer:

urs 6 2ab ytdguhdd bad wuy

Step-by-step explanation:

blank

Help me out True or false questions

Answers

Answer:

A. false

b. true

c. false

Step-by-step explanation:

(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...

Answers

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610

the sum of three consecutive odd integers is 129. find the integers​

Answers

Answer:

[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]

Step-by-step explanation:

Let the three consecutive integers be x, x + 2 and x + 4

So, the given condition is:

x + x + 2 + x + 4 = 129

3x + 6 = 129

Subtract 6 to both sides

3x = 129 - 6

3x = 123

Divide 3 to both sides

x = 123/3

x = 41

So, the integers are:

x = 41

x + 2 = 41 + 2 = 43

x + 4 = 41 + 4 = 45

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

Hope this helped!

~AH1807

Question 1

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.


a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.


b. What does the coefficient of the expression in part (a) represent?

Answers

Answer:

1a. 195x

1b. 195

Step-by-step explanation:

1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.

1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient

hope this helps!

Mark me as brainiest if you can

Find the value of the expression

Answers

Answer:

20

Step-by-step explanation:

t=1

u=2

t+8+u+8+1=1+8+2+8+1=20

8 grade math part 1 help me

Answers

ANSWER: 180°
EXPLANATION: 360-180=180
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