Logan has two aquariums. One aquarium contains 1.3 cubic feet of water and the other contains 1.9 cubic feet of water. The water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium. Write an equation with a variable on both sides to represent the situation. Then find the weight of 1 cubic foot of water.

Answers

Answer 1

Answer:

62.4

Step-by-step explanation:

1. 1.3x+37.44=1.9x

2. 1.3x+37.44-1.3x=1.9x-1.3x

0.6x=37.44

3. x=37.44/0.6=62.4

Answer 2

The weight of 1 cubic foot of water is 62.4 lb.

Representing Equation with variable on both sides

Let 'x' pounds be the weight of 1 cubic foot of water.

We know one aquarium contains 1.3 cubic feet of water. So, the weight of 1.3 cubic feet of water = 1.3x

The other aquarium contains 1.9 cubic feet of water. So, the weight of 1.9 cubic feet of water = 1.9x

It is given in the question that the water in the larger aquarium weighs 37.44 pounds more than the water in the smaller aquarium.

The equation would be

1.9x  =  1.3x + 37.44

The above equation quality the condition of variable on both sides.

To find out the weight of 1 cubic foot of water, we will solve the above equation to find the value of x.

1.9x  =  1.3x + 37.44

1.9x - 1.3x = 37.44

0.6x  =  37.44

x = 37.44/0.6

x  =  62.4

So, the weight of 1 cubic foot of water is 62.4 lb.

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Related Questions

Slope of (-3,6), (2,6)

Answers

Answer:

0

Step-by-step explanation:

Answer:

0/-1 which equals 0

Step-by-step explanation:

I provided a picture explanation

Derek is watching a thunderstorm. He hears the thunder 4.7 s after seeing a flash of lightning. How far away was the lightning?

Answers

Answer:

1.0014 Miles

Step-by-step explanation:

The light travels at 186,291 miles per second (~300,000 km/s), and speed of sound in dry air is equal to 0.21 - 0.22 miles per second (0.33-0.35 km/s), as it varies with the temperature. We can notice the lightning almost immediately even though the storm is far from us, but the thunder needs around 5 seconds to travel one mile and approximately 3 seconds to travel one kilometer. Thanks to this seven orders of magnitude difference in sound and light propagation, we can easily estimate the storm distance

Answer:

This explanation is not good, can you please break it down so we can see how you guys got this answer?

Step-by-step explanation:

This weekend Karen participated in a road race the ratio of the number of miles she ran to the number of miles she walked is 4 : 5 how many miles did Karen run if she walked 10 miles

Answers

Answer:

8 miles

Step-by-step explanation:

If Karen ran 4 miles and walked 5 the fraction for that is 4/5 and if you double both of those you get 8/10 we know that she walked 10 miles so she had to have run 8 miles.

Answer:

8

Step-by-step explanation:

plsssss helppp im so lost on this

Two times a number minus four is greater than one times the number plus 3. Write an inequality you could use to solve this problem.

Answers

Answer:

2n-4>1n+3

Step-by-step explanation:

So basically 2 times a number go together because it means its multiplying and the greater sign is > and then 1 is multiplying with n so its 1n and then you just add 1

solve this equation showing work − 9 ≥− 8(1 + 6v) − 1

Answers

Answer:

v≥0

Step-by-step explanation:

−9≥−8(1+6v)−1

Step 1: Simplify both sides of the inequality.

−9≥−48v−9

Step 2: Flip the equation.

−48v−9≤−9

Step 3: Add 9 to both sides.

−48v−9+9≤−9+9

−48v≤0

Step 4: Divide both sides by -48.

−48v

−48

0

−48

v≥0

Find one counterexample to show that the conjecture is false.
1 and 2 are supplementary, so one of the angles is acute.
Choose the best counterexample for the conjecture.
O A. mZ1 = 119° and mZ2 = 61°
O B. mZ1 = 39° and mZ2 = 51°
O C. mZ1 = 32º and mZ2 = 157°
O D. mZ1 = 90° and mZ2 = 90°

Answers

B because that’s the answer

Order these numbers from largest at the top, to smallest at the bottom.

1.1.57x10^-4
2.4.5x10^3
3.1.3x10^1
4.987

reorder answers

Answers

Answer:

2.45x10^3

3.13x10^1

4.987

1.157x10^-4

Step-by-step explanation:

I have assumed that 1.1.57 = 1.157 and the same with the second and third numbers.

3.13 * 10^1 = 31.3

1.157 * 10^-4 = 0.0001157

2.45 * 10^3 = 2450.

A new uniform cost 49.99 if its on sale for 15% off what is the cost before tax

Answers

Answer:

$42.49

Step-by-step explanation:

This means the cost of the item to you is $42.49. You will pay $42.49 for a item with original price of $49.99 when discounted 15%. In this example, if you buy an item at $49.99 with 15% discount, you will pay 49.99 - 7.4985 = 42.49 dollars.

Answer:

42.49

Step-by-step explanation:

Discount = 15% of 49.99

              = 0.15 * 49.99

              = 7.4985

         

Cost after discount = 49. 99 - 7.4985

                               = 42.4915

                               = 42.49

Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?

the amount Tasha saves each week
the amount Tasha earns each hour
Tasha's weekly commission
Tasha's weekly earnings

Answers

Answer:

Tasha's weekly earnings

Step-by-step explanation:

I just took the pre-test

(sorry if I'm a little late)

Answer:

tasha's weekly earnings

What is the missing length of this rectangle?

Answers

answer:
5ft

explanation:
9ft - 4ft = 5ft

On Tuesday, a local hamburger shop sold a combined total of 402 hamburgers and cheeseburgers.

The number of cheeseburgers sold was two times the
number of hamburgers sold.

How many hamburgers were sold on Tuesday?
I hamburgers

Answers

Answer:

134

Step-by-step explanation:

2x +x =402

3x=402

x=134

2x=268

In this case x = hamburgers and 2x = cheeseburgers. And sense x = 134 that is your answer.

134
This is because 402 (total) ÷ 3 = 134
Cheeseburgers: 268 (x2 134)
Hamburgers: 134
134 + 268 = 402
Sorry, it was hard to explain. I’m new to the app, but I hope this helps!

2(x+3)=4x+8-x solve for x

Answers

Answer:

x= -2

Step-by-step explanation:

Answer:

X = -2

Step-by-step explanation:

PLEASE HELP ME WITH THIS PROBLEM 20 POINTS!

Answers

Answer:

1. interior angles

2. complementary angles

3. supplementary

4. supplementary

5. Alternate interior angles

6. supplementary

7. supplementary

Step-by-step explanation:

HOPE THIS HELP DA!!!!!!!

If x2 = 144, which of the following is true?
A x = 72 or x = -72
B o x = 5184 or x = -5184
CX = 12 or x = -12
Dx = 132 or x = -132

Answers

i think the answer is A x = 72 or x = -72

who wants a brainist whats the how do you convert ratios

Answers

Answer:

To a whole number: Add the numbers in the ratio togetherTo a fraction: Each number in the ratio would become a numerator in a fraction

I hope this helps!

Credit goes to: calculatorsoup.com

Answer:

To convert, start by adding both parts of the ratio together. This will be the denominator for each of the fractions and also represents the whole set. Then, each part of the ratio creates a fraction, with the numerator being the first part of the ratio and the denominator being the sum that was just found.

Step-by-step explanation:

hope this helps :)

List the opposite of the following numbers:
-4, 1, -2.5, 101, 1/2

Answers

Answer:

☆<《HOPE IT WILL HELP YOU >

Step-by-step explanation:

The opposite of :-

-4=4

1= -1

-2.5= 2.5

101 = -101

1/2= -1/2

What is the ratio AC: CB?​

Answers

Answer:

how do we find this out

Step-by-step explanation:

give the correct answer
Solve all questions to get brainliest

Answers

Let me translate it to English before I answer your question.

Hello friend, how are you? Today I want to write about my schedule of classes.

My classes start at seven thirty in the morning. I have five classes everyday. My math class, it starts at seven thirty. Then a biology class and it starts at half past nine. I have a twenty minute break at noon. It starts at half past seven. I always have soccer practice after school, but today I have to come home early because I have to study for the biology test. Take care.

First answer: 20 mins

Second answer: 7:30

Third answer:7:30

Fourth answer:9:05

Hope this helps you!!

Stay safe.

An angle measures 86° less than the measure of its complementary angle. What is the measure of each angle?

Answers

[tex]x + (x - 86) = 90[/tex]

[tex]2x - 86 = 90[/tex]

Both sides plus 86

[tex]2x = 90 + 86[/tex]

[tex]2x = 176[/tex]

Divided both sides by 2

[tex]x = \frac{176}{2} \\ [/tex]

[tex]x = 88[/tex]

So the angles are :

[tex]88 \: \: \: \: \: and \: \: \: \: 2[/tex]

The measure of the two complementary angles are 88° and 2°.

What is a complementary angle?

"When the sum of two angles is 90°, then the angles are known as complementary angles."

Let, the complementary angle of the mentioned angle is x.

Therefore, the angle is = (x - 86°)

Now, x + (x - 86°) = 90°

⇒ 2x - 86° = 90°

⇒ 2x = 176°

⇒ x = 88°

Therefore, the measured angle is 88°.

It's complementary angle is = (90° - 88°) = 2°.

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this shud be easy im jus kinda having a big brain fart and need help :)

Answers

Answer:

It is 10. I usually have brain farts in math too.

Step-by-step explanation:

Answer:

is 13

Step-by-step explanation:

A city starts with a population of 200,000 people in
2005. The population has been declining according to
the equation
P(t) = 200,000e-.08
where P is the population t years later. Approximately
when will the population be half the initial amount?

Answers

Answer:

200,000 and 2005 which cant theoretically be done be P(t) which would increase in the population which would most likely be from 2005 to 2020. so you cannot do this because imagine it as X=(Y)x the mass of population which would be defined as (P) which will also be represented as a probable and physical change in the number. but not only the number, but the population. being have of the initial amount which you will take the variable (P) and have the exact amount which would be the population. Which would theoretically recon as a positive ID of the population.-Cj

Step-by-step explanation:

A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?​

Answers

Answer: D

Step-by-step explanation:

If after 5 seconds the height was 20 feet then  in 10 seconds it will be 40 feet  and in 20 seconds it will be 80 seconds.

To get from 5  to 10 you multiply by 2

To get from 20 to 40 you multiply by 2.

Since you have a constant change then it works for D only.

The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

A hot air balloon is launched from the ground and climbs into the air at a consistent velocity. The balloon's elevation is 20 feet after 5 seconds. The balloon keeps rising at the same rate.

The height per second is given as,

m = 20 / 5

m = 4 ft/sec

Then the equation is given as,

y = 4x

At x = 10 sec, then the value of y will be

y = 4 (10)

y = 40 ft

At x = 20 sec, then the value of y will be

y = 4 (20)

y = 80ft

The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.

More about the linear equation link is given below.

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distance between (-1,-1) and (-4,1)

Answers

The distance between (-1,-1) and (-4,1) is “√13”


Encuentra el Minimo común múltiplo (m.c.m.) de los sieguentes numeros 12y 15​

Answers

Answer:

is this question in Spanish ?

si

si

si

si

me speak english

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si

si

If there are exactly 2.54 centimeters in 1 inch, how many inches are in 1 centimeter
Round to two decimal places.​

Answers

Answer:  0.39 inches

===============================

Work Shown:

2.54 cm = 1 inch

2.54/2.54 cm = 1/2.54 inch  ...... divide both sides by 2.54

1 cm = 0.39370078740158 inches

1 cm = 0.39 inches

Multiple questions! Need help within the hour!

Answers

First one is B and Second is C

solve
3c-5=2c+5
please naswer fast and I will give you 5 stars

Answers

Answer:

10

Step-by-step explanation:

3c - 5 =2c +5

3c - 2c =5 +5

c=10

Find the length of YZ

Answers

Answer:

[tex]YZ = 19cm[/tex]

Step-by-step explanation:

To figure out what line YZ equals, we must first find x. And to do this, let's set up an equation.

Firstly, we know that XY is 8cm, and XZ is 4x+3. So, we know that XY + YZ will equal XZ. Let's set that up:

[tex]8 + 2x+7=4x+3[/tex]

Combine like terms.

[tex]2x+15=4x+3[/tex]

Subtract 2x from both sides.

[tex]15=2x+3[/tex]

Subtract 3 from both sides.

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]6=x[/tex]

Now, we just need to plug 6 into the equation of YZ.

[tex]2(6)+7[/tex]

[tex]12+7[/tex]

[tex]YZ = 19[/tex]

What is the slope of a line that cobennects the points (7,5) and (12,15)

Answers

Answer:

Slope of line = 2

Step-by-step explanation:

Line is passing through the points

[tex] (7,\:5)= (x_1, \:y_1)\\ \:\&\:\\ (12,\:15)=(x_2, \:y_2) [/tex]

[tex]slope \: of \: line = \frac{y_2 - y_1}{x_2 -x_2 } \\ \\ = \frac{15 - 5}{12 - 7} \\ \\ = \frac{10}{5} \\ \\ slope \: of \: line= 2 \\ [/tex]

An isosceles triangle has a vertex angle who measures 68 degrees. What is the measure of a base angle?

Answers

each base angle would be 56 degrees

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