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.

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Related Questions

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

Answers

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

Solve for x
Solve for x

Answers

Answer:

23.1

Step-by-step explanation:

14/20*x/33

Cross multiply

14*33=20*x

462=20*x

462/20=x

23.1=x

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!!


Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC

Answers

Answer:

ASA

Step-by-step explanation:

another possible pair is ∠A and ∠B

so it makes it ASA


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
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
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

Van = 10

Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear

Answers

Answer:

C

Step-by-step explanation:

what is 9 1/6 - 2 3/4?

Answers

Answer:

6 5/16

Step-by-step explanation:

Hope this helped :)

Can someone help me with a full math assignment about slope rate of change and stuff? i will give them brainliest answer too

Answers

Answer:

yes of course .

I will help you .

Find the Values of x and y

Answers

the answer is x = 2 and y = 17

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

so the value of a=1 , b= -3 and c= -4

Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y-4=-2(x-1)

y=-2x+6

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)

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

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

B. Linear functions cross the y-axis above exponential functions.

C. Linear functions slope down, while exponential functions slope up.

D. There is no
differhoice.

I’ll give brainiest

Answers

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.

A function is an exponential function when the exponent is the variable.

The difference between a linear function and an exponential function is,

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

learn more about exponential functions here :

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7x + 2y = 24
8x + 2y = 30

Answers

Answer:

x=6

so

6x7

42+ = 24/2

12-42

y=-30

Step-by-step explanation:

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.

The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):

(5(2t+3))/5=75/5

2t+3=15

The next thing we can get rid of is the 3. Subtract 3 from both sides:

2t+3-3=15-3

2t=12

Now, we get rid of the 2. Divide both sides by 2:

2t/2=12/2

t=6

Linear Equations & Linear Systems:Question 5
What is the solution to the following system of equations?

Somebody pls help me

Answers

(2, -3) is the solution

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'.

x = 12 + -6y

Simplifying

x = 12 + -6y

How Many Miles please help me.

Answers

10.5 i think if not sorry

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

Answers

Answer:

125%

Step-by-step explanation:

1.25 x 100% = 125%

Solve for x: 16^2x + 1 = 128

38

83

4

43

Answers

Answer:

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

x=4

PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP

Answers

answer 4

4multiplyed by 4 is 16

Graph the equation y= 5x - 4

Answers

Answer:

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

Having some struggles

Answers

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

Please help !!! I’m stuck

Answers

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

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

Answers

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

cosΩ=b/c=9/15=3/5

tanΩ=a/b=12/9=4/3

can someone please help me with this

Answers

Answer:

The answer is about 13.7 for x

Step-by-step explanation:

Hope this helps.

The measure of angle 1 is 130°.
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
Which other angle must also measure 130°?

Answers

Answer:

The angle opposite angle 1

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:

Find the value of x for brainliest

Answers

Answer:

x=27.5

Step-by-step explanation:

x/4=55/8

Cross multiply:

8x=220

Divide:

8x/8=220/8

x=27.5

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 ​

Answers

Answer:

Its c.

Step-by-step explanation:

Because B is the smallest point on that picture.

BrainliesT?

Answer:

your answer is correct

Step-by-step explanation:

have A great day

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.

Which of the following is a diameter of Circle O?
A
AB
B
DG
EB
D
AE

Answers

Answer:

EB

Step-by-step explanation:

Diameter is a line that cut a circle into equal halves

O indicate the point of the center

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