The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.

1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why

2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.​

Answers

Answer 1

9514 1404 393

Answer:

ft33.75 gal

Step-by-step explanation:

1. The conversion factor is given in gallons per cubic foot. So, to avoid more conversion factors than necessary, it is convenient to use feet as the unit of measure.

__

2. The dimensions are ...

  1 yd × 3 ft/yd = 3 ft . . . . length

  18 in × 1 ft/(12 in) = 1.5 ft . . . . height

So, the volume is ...

  V = LWH = (3 ft)(1 ft)(1.5 f) = 4.5 ft³

Then the number of gallons is ...

  (4.5 ft³)×(7.5 gal/ft³) = 33.75 gal


Related Questions

Write a program that will solve a quadratic equation: ax2 + bx + c = 0. The program must ask the user to enter the values for a, b and c. It should then determine the discriminant of the parabola and based on the discriminant it should display the real roots: Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots. Use the if - then else structure in your program to decide the outcome of the program. User must then use the quadratic equation to solve for x: = − ± √ −

Answers

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

A person invested $8,800 in an account growing at a rate allowing the money to
double every 15 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Answer:10587

Step-by-step explanation: better than original answer

an average student spend 4½ minutes to read one page of a book. how much time will he need to read 5½ pages?​

Answers

Answer:

About 24.75 minutes or 24 3/4 minutes

Step-by-step explanation:

WILL MARK YOU BRAINLIEST!!!!!!

Answers

Answer:

D street

Step-by-step explanation:

IMMEDIATE HELP PLS TY

Answers

y=3x-4
This could be wrong!
Just remember that this is a Mx+b equation, b will always fall on the y axis. (-4)

Write a quadratic function in standard form with zeros 3 and 9 plzzzz helppp meee

Answers

Answer:

x²+12x+27

Step-by-step explanation:

put the intercepts in intercept form which is a(x-p)(x-q)

That would be (x-3)(x-9)

Foil x²-9x-3x+27

Solve x²-12x+27

An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?

Answers

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:

I need help with homework

Answers

Answer:

okay

Step-by-step explanation:

lol sorry for this I just needed to answer one more question

The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)

Answers

1 1/2 feet is 16 inches. the model is 4 inches long so do 4 divided by 1/2 and you get 8, then multiply 16 x 8 and that equals 128, then divide by 12 and you get 10 2/3 feet

7 (2x - 9) = 6x – 15
what is this?

Answers

the answers would be x=6
Answer:

X= 6

Explanation:

7 (2x - 9) = 6x -15

14x-63 = 6x - 15

8x = 48

x = 6

Find the area and perimeter of a rectangle if the length is (x+7) and the width is (x+3).

Answers

Answer:

P=4x+20

A=x^2+10x+21

Step-by-step explanation:

Perimeter=2(x+7)+2(x+3)

2x+14+2x+6

4x+20

Area=(x+7)(x+3)

x^2+10x+21

l = (x + 3)

b = (x + 7)

Area:

= I x b

= (x + 3)(x + 7)

= x(x + 7) + 3(x + 7)

= x² + 7x + 3x + 21

= x² + 10x + 21

Perimeter:

= 2(l + b)

= 2((x + 3) + (x + 7)) = 2(2x + 10)

= 2(x + 3 + x + 7)

= 4x + 20

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

I need help with this please

Answers

Angle 1 and 2 are supplementary angles.

This is ur answer....

Supplementary angle.....

I tried many times to solve this question: Joy makes 6,5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people. show how you decide Your final line must be written as joy definitely does have enough soup or joy may not have enough soup. If you can please explain it if not just give the answer.

Answers

Joy makes 6.5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people.

Answer:

Yes, Joy definitely does has enough soup

Step-by-step explanation:

From the question, we know,

Joy make 6.5 litres of soup

Serves it in 280ml portions

Step 1

We convert the portions to liters

1 ml = 0.001 litre

280 ml

= 280ml × 0.001 litre/1 ml

= 0.28litre

Step 2

We divide 6.5 liters by 0.28 to find out how many people can be served

= 6.5 ÷ 0.28

= 23.2142857143 people

We can see that 6.5 liters soup can serve 23 people approximately.

Therefore, Yes, Joy definitely does has enough soup to serve 22 people

Write the decimal 5.666… as a mixed number in simplest form.

Answers

Answer:

5 2/3

Step-by-step explanation:

The decimal of .6 repeating is a common fraction that represents 2/3.

To write that in a mixed number is to put the whole number out front and the fraction afterward.

Answer:

The answer is 5 2/3

List in increasing order


182.205 182.05 182.105 182.025

Answers

I think is 182.205,182.105,182.0.25,182.05

Please help I don’t understand.

Answers

Answer:

i cant see the blue

Step-by-step explanation:

                       .  

Help please the picture is above.

Answers

The answer to this one is -64, again, just plug in -9 where the x values are (:
The answer is -136

Plug in 9 for x

f(9)= -(9)^2 - 4(9) - 19

f(9) = -81 - 36 - 19

f(9) = -136

If you divide 78 by 34, will the quotient be greater than or less than 34? (Please help I'm desperate)

Answers

Answer:

The quotient will be less than 34

Step-by-step explanation:

When we talk of quotient, we are simply referring to the result of division.

Now, let’s divide 78 by 34, our answer is 2 10/34. The answer is slightly above two which in all terms is really less than 34.

So the correct answer to our question is that the quotient will be less than 34

Which fraction is a repeating decimal?
A. 2/5
B. 8/10
C. 4/7
D. 8/11

Answers

Answer:

C. 4/7

D. 8/11

Step-by-step explanation:

4/7 = 0.571428571428

8/11 = 0.727272727272727

These are repeating decimals, unlike the first two:

A. 2/5 = 0.4

B. 8/10 = 0.8

Answer:

8/11 (D)

Step-by-step explanation:

Popped it into a calculator that turns fractions into decimals, and I got 0.7272727... (repeating) Hope this helps!

y=2x+5
y=2x+2
is it parallel

Answers

Answer:

Yes they are parallel

Step-by-step explanation:

They have the same slope.

what is equivalent to (x+1)^2

Answers

What is x+1^2 is equivalent

20% turned into a whole number

Answers

Answer:

0.2

Step-by-step explanation:

20/100= 2/10

2/10= 0.2

(√16)2 in simplest form.

Answers

The answer is x = 8 √2

If the sour patch kids cost 3.99$ and Nichole decided to buy 1.5 pounds of sour patch kids how much will it cost?

Answers

Answer:

How much does it cost per pound because if it’s just $3.99 per pound then it’ll cost $3.99

Step-by-step explanation:

Jaiden wants to buy a new pair of jeans. If the jeans were originally $80.00, but are on sale with a 25% discount, how much will Jaiden have to pay for the jeans?

Answers

Answer:

he would have to pay $60

Step-by-step explanation:

The price of jeans that Jaiden has to pay after the discount will be equal to $60.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original price of jeans = $80

Percentage discount on sale = 25%

Then, the discount of price on the jeans will be,

80 × 25/100 = $20

Then, the price of jeans after the discount will be,

$80 - $20 = $60

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

Which of the following best describes the blue line in the image below

Answers

C i believe it will Be!

Answer:

C the line through point C that is perpendicular to the segment AB

. The mass of Earth is approximately 5.9 · 1024 kg, and the mass of Venus is approximately 4.9 · 1024 kg.Given that the mass of the sun is approximately 1.9 · 1030 kg, how many Venuses and Earths would it take to equal the mass of the sun?

Answers

I really hope this helps ☺️

A model rocket is launched upward at a speed of 128 feet per second from a platform 15 +feet above the ground. Choose a statement about the rocket's flight The rocket will reach its maximum height after 7 seconds. The rocket will reach its maximum height after 5 seconds. The maximum height that the rocket will reach is 191 feet. The maximum height that the rocket will reach is 271 feet.

Answers

Answer:

The maximum height that the rocket will reach is 271 feet.

Step-by-step explanation:

We first calculate the time, t it takes the rocket to reach maximum height from v = u - gt. Since u = initial velocity = 128 ft/s, v = velocity at maximum height = 0  ft/s and g = acceleration due to gravity = 32 ft/s².

So, v = u - gt.

t = (u - v)/g

= (128 ft/s - 0 ft/s)/32 ft/s²

= 128 ft/s ÷ 32 ft/s²

= 4 s.

We calculate the maximum height from

y - y₀ = ut - 1/2gt² where y₀ = 15 ft and all other variables are as above.

Substituting these values into the equation, we have

y - y₀ = (u - 1/2gt)t

y - 15 ft = (128 ft/s - 1/2 × 32 ft/s² × 4 s) × 4 s

y - 15 ft = (128 ft/s - 64 ft/s)4 s

y - 15 ft = 64 ft/s × 4 s

y - 15 ft = 256 ft

y = 256 ft + 15 ft

y = 271 ft

So, the maximum height that the rocket will reach is 271 feet.

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