Nancy left a bin outside in her garden to collect rainwater. she notices that 1 over 2 gallon of water fills 2 over 3 of the bin. write and solve an expression to find the amount of water that will fill the entire bin. show your work. explain your answer in words.

Answers

Answer 1

[tex]\frac{3}{4}[/tex] gallons of water fill the bin.

What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

Given: Nancy left a bin outside in her garden to collect rainwater.

She notices that 1 over 2 gallons of water fills 2 over 3 of the bin.

To Find: Write and solve an expression to find the amount of water that will fill the entire bin.

Let's say the amount of  Water to  fill the bin  = W gallon

Water required to fill the  [tex]\frac{2}{3}[/tex] bin  = [tex]\frac{2W}{3}[/tex]Water required to fill the  [tex]\frac{2}{3}[/tex] bin   = [tex]\frac{1}{2}[/tex]  gallon

Equate both:

[tex]\frac{2W}{3} =\frac{1}{2}[/tex]  is the expression to find the amount of water that will fill the entire bin.

[tex]\frac{2W}{3} =\frac{1}{2} \\2W=\frac{3}{2} \\W=\frac{3}{4}[/tex]

Therefore, [tex]\frac{3}{4}[/tex] gallons of water fill the bin.

Know more about expressions here:

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Related Questions

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(2, -3) is the solution

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Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

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462/20=x

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Hope this helps :)

Answer:

According to the ratio of segments:-

[tex]\frac{20}{14} =\frac{33}{x}[/tex]

[tex]20x=14(33)[/tex]

[tex]20x=462[/tex]

[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!

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Answer:

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Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
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O
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Answer:

C

Step-by-step explanation:

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answer 4

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Answer:

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so it said to pick which statement is true about the measurements of angles ABC. so I said B, can someone check if this is correct please ​

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Step-by-step explanation:

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BrainliesT?

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Step-by-step explanation:

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Describe the differences in the graphs of linear functions vs. exponential functions.

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I’ll give brainiest

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Answer:

It's A.

(Just finished the quiz) <3

The differences in the graphs of linear functions vs. exponential functions

is, A. Linear functions have a constant slope, while exponential functions start flat and get steeper.

What is a linear equation?

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

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while exponential functions begin flat and gradually steepen, linear functions have a constant slope.

learn more about exponential functions here :

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How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?

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Answer:

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Step-by-step explanation:

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The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?

Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answer:

6 5/16

Step-by-step explanation:

Hope this helped :)

Write the linear equation in slope-intercept form given the following:
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Answers

Answer:

y=-2x+6

Step-by-step explanation:

y-4=-2(x-1)

y=-2x+6

Which of the following is a diameter of Circle O?
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Answer:

EB

Step-by-step explanation:

Diameter is a line that cut a circle into equal halves

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Answer:

ASA

Step-by-step explanation:

another possible pair is ∠A and ∠B

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Determine the sine, cosine, and tangent of angle THETA. Check tje appropriate solution for each.​

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Step-by-step explanation:

c²=a²+b²

a²=c²-b²

a²= 15²-9²=225-81=144

a=√144=12

sinΩ=a/c=12/15=4/5

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How Many Miles please help me.

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38

83

4

43

Answers

Answer:

[tex]16^{2x}[/tex]+1=128

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can someone please help me with this

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Answer:

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Step-by-step explanation:

Hope this helps.

Use distributive property to rewrite each algebraic expression: 8(s + 5)

Answers

Answer:

8s + 40

Step-by-step explanation:

8*s = 8s

8*s = 40

8s + 40

Answer: The correct answer is 8s+40

Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.

does anyone know the answer to 5(2t+3)=75 that can tell me how to find the answer not just the answer

Answers

Answer: Let me know if this helps.

Step-by-step explanation:

5(2t+3)=75     Distribute the 5 using multiplication. 5x2t and 5x3

10t+15=75      Subtract 15 because you need to get the t by itself.

10t = 60         Now divide by 10 to get t by itself. 10/10 and 60/10.

t = 6               Answer.

Answer:

t=6

Step-by-step explanation:

It's all about get t on one side of the equation, and so everything else on the other side of the equation.

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Answers

Answer:

x=6

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Step-by-step explanation:

Graph the equation y= 5x - 4

Answers

Answer:

the y intercept will be -4 and the slope would be 5

Please help !!! I’m stuck

Answers

Answer:

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Step-by-step explanation:

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Find the Values of x and y

Answers

the answer is x = 2 and y = 17


The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
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students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10

Answers

Answer: Van: 10, Bus: 46

Step-by-step explanation:

Let the number of students in each van be represented by v.

Let the number of students in each bus be represented by b.

The question given can be formed into an equation as:

3v + 13b = 628 ...... i

9v + 2b = 182 ......... ii

Multply equation i by 9

Multiply equation ii by 3

27v + 117b = 5652 ........ iii

27v + 6b = 546 ....... iv

Subtract iv from iii

111b = 5106

b = 5106/111

b = 46

Bus = 46

Recall that 9v + 2b = 182

9v + 2(46) = 182

9v + 92 = 182

9v = 182 - 92

9v = 90

v = 90/9

v = 10

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Answers

Answer:

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Step-by-step explanation:

Opposite angles have the same degree when two lines intersect because they are vertical angles.

Answer:

3

Step-by-step explanation:

what form is the equation 12y=2x=24

Answers

Answer:

Step-by-step explanation:

Simplifying

12y + 2x = 24

Reorder the terms:

2x + 12y = 24

Solving

2x + 12y = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12y' to each side of the equation.

2x + 12y + -12y = 24 + -12y

Combine like terms: 12y + -12y = 0

2x + 0 = 24 + -12y

2x = 24 + -12y

Divide each side by '2'.

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Having some struggles

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Answer:

I think it's 399

___

500

I hope it's well help you

Answer:

the answer is 149/500 :D hope this will help u

I only need 1 b. please no work needed thank you

Answers

Answer:

standard form is x^2-3x-4=0

which is a^2+bx+c=0

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Round 259.98991 to the nearest hundredth.
259.99
259.990
259.9899
260.00001

Answers

259.99

HTU.TH

(hundreds, tens, units . tenths, hundredths)
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