Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures
24
24 inches in length,
10
10 inches in width, and
12
12 inches in height. The tank is filled with water to a height of

8
8 inches. How many more cubic inches of water are needed to fill the tank to the top?

Answers

Answer 1

The quantity of  water are needed to fill the tank to the top is 960 cubic inches

The total volume of the tank is given by multiplying its length, width, and height

Volume of tank = 24 inches × 10 inches × 12 inches = 2,880 cubic inches

The volume of water in the tank is given by multiplying the filled height with the base area of the tank:

Volume of water = 8 inches × 24 inches × 10 inches = 1,920 cubic inches

To find how many more cubic inches of water are needed to fill the tank to the top, we need to subtract the volume of water in the tank from the total volume of the tank:

Volume of air space = Volume of tank - Volume of water

= 2,880 cubic inches - 1,920 cubic inches

= 960 cubic inches

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The given question is incomplete, the complete question is:

Julio bought a fish tank shaped like a rectangular prism. The inside of the tank measures

24 inches in length, 10 inches in width, and 12 inches in height. The tank is filled with water to a height of 8 inches. How many more cubic inches of water are needed to fill the tank to the top?


Related Questions

*CORRECT AND FASTEST ANSWER GETS BRAINLIEST!!!*
A greengrocer buys fruit and vegetables from the market and sells them at a 25% mark up. On one particular moring her fruit and vegetables cost her €500. If she sells all of her produce, find:

A) her profit

B) her total income

Answers

Answer: Below :)

Step-by-step explanation:

A) To find the profit, we first need to calculate the cost of the produce plus the 25% markup.

The markup is 25% of the cost, which is 0.25 * 500 = €125.

So the total cost of the produce plus markup is €500 + €125 = €625.

Now, if the greengrocer sells all the produce, the total revenue will be 100% plus the 25% markup, which is 125% of the original cost.

125% of €500 is 1.25 * 500 = €625, which is the same as the cost plus markup.

Therefore, the profit is the markup, which is €125.

B) To find the total income, we add the profit to the total cost:

Total income = €500 + €125 = €625

Answer:

A)  €125

B)  €625

Environment An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius of the slick is 150 feet, the radius is increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minute) is oil flowing from the site of the accident?

Answers

The rate of oil flowing from the site of the accident is 47123.74 cubic feet per minute.

To find the rate at which oil is flowing from the site of the accident, we need to determine the rate of change of the volume of oil in the slick with respect to time.

We know that the slick is circular with a thickness of 0.08 feet and a radius that is increasing at a rate of 0.5 feet per minute. Let's call the radius of the slick at time t "r" and the volume of oil in the slick at time t "V".

The volume of a cylinder (which the slick approximates) is given by the formula V = πr^2h, where π is the constant pi and h is the height or thickness of the cylinder.

Differentiating both sides with respect to time, we get:

dV/dt = 2πrh(dr/dt) + πr^2(dh/dt)

We know that the thickness of the slick is constant at 0.08 feet, so dh/dt = 0. We also know that the radius is increasing at a rate of 0.5 feet per minute, so dr/dt = 0.5. Finally, we know that the radius of the slick is currently 150 feet, so r = 150.

Substituting these values into the formula, we get:

dV/dt = 2π(150)(0.5) + π(150)^2(0)

dV/dt = 47123.74 cubic feet per minute

Therefore, the rate at which oil is flowing from the site of the accident is approximately 47123.74 cubic feet per minute.

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How much greater is 0.05723 then 0.005?

Answers

0.05723 is 0.05223 greater than 0.005.

What is greater than?

"Greater than" is a comparison term used to indicate that one quantity or value is larger or more than another quantity or value. It is represented mathematically by the symbol ">".

What is lesser than?

"Lesser than" is a comparison term used to indicate that one quantity or value is smaller or less than another quantity or value. It is represented mathematically by the symbol "<".

In the given question,

To find out how much greater 0.05723 is than 0.005, we can subtract 0.005 from 0.05723:0.05723 - 0.005 = 0.05223

Therefore, 0.05723 is 0.05223 greater than 0.005.

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The equation y = 8x represents the
relationship between the amount of
time Shanay takes to weave thread
into fabric and the number of rows.
How long will it take Shanay to weave
72 rows of fabric at this constant rate?

Answers

72/8
X=9
It will take 9

Someone please help me ASAP!! It’s due today!! Show work please! I will mark brainliest if it’s done correctly

Answers

Answer:

D

Step-by-step explanation:

First set up the fraction [tex]\frac{9}{40}[/tex] , and next divide 9 ÷ 40 = 0.225. Lastly, multiply 0.225 × 100 = 22.5%.

Hope this helps.

List all prime numbers in the 2023 February calendar ​

Answers

The only prime numbers in February are:
1,2,3,5,7,11, 13,17,19,23 and 29, that is 11 in all.

Answer:

6 29 25

Step-by-step explanation:

those are the prime numbers on the 2023 feb calendar

What method could have been used to collect the data

Answers

The method used to collect data will depend on the specific research question being asked and the resources available to the researcher.

One common method for collecting data is through experimentation. This involves designing a controlled experiment that allows researchers to manipulate one or more variables while keeping all other factors constant.

Observational data can be particularly useful when it is not possible or ethical to manipulate variables in an experiment.

Surveys and questionnaires are another way to collect data. These methods involve asking people to provide information about their attitudes, beliefs, and behaviors.

Other methods for collecting data include case studies, in which researchers closely examine a single individual or group, and archival research, in which data is collected from existing records, such as census data or medical records.

By carefully selecting the right method for their research, scientists can gather accurate and reliable data that can help to advance our understanding of the world around us.

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Elena and Jada were racing on their bikes. Elena started 15 meters ahead of Jada. Elena biked at a rate of 20 meters per second. Jada biked at a rate of 22 meters per second. Let x represent time in seconds and y represent distance in meters. After how many seconds will Jada pass Elena?

Answers

Jada overtakes Elena after 7.5 seconds.

The set of equations that best captures the scenario is =y=15+20x.

Let's establish a coordinate system with Elena's starting point as the origin. Elena's separation from the origin at time x is given by: y=15+20x

y1 = 15 + 20x

Jada's distance from the origin at time x is determined similarly by:

y2 = 22x

Finding the moment x at which Jada overtakes Elena and their distances from the origin are equal is our goal.

y1 = y2

With the formulas for y1 and y2 substituted, we obtain:

15 + 20x = 22x

When we simplify this equation, we obtain:

2x = 15

x = 7.5

Jada therefore overtakes Elena after 7.5 seconds.

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2x+2y= 24

x=3y

What is the value of x+y? I WILL MARK BRAINLIEST AND GIVE 20 POINTS

Answers

Answer:

x + y = 12

Step-by-step explanation:

Pre-Solving

We are given the following system of equations:

2x + 2y =24

x = 3y

We want to find the value of x + y.

Solving

We first need to find the values of x and y, which we will do by solving the system.

We can solve this system by substitution.

We know that x = 3y, so we can substitute 3y as x in 2x+2y=24.

This gives us:

2(3y) + 2y = 24

Multiply.

6y + 2y = 24

Add the terms together.

8y = 24

Divide both sides by 8.

y = 3

We found the y value, now let's find the value of x.

The second equation is x=3y, so if we plug the value of y in there, we can find the value of x.

Substitute 3 as y.

x = 3(3) = 9

The value of x is 9.

So, to find x+y, we substitute the values we found.

x + y = 3 + 9 = 12

3) Jiya walks 6 km due east and then 8 km due north. How far is she from her
starting place?
6 km
8 km

Answers

Answer:

10km

Step-by-step explanation:

Pythagoras

Formula=[tex]a^2+b^2=c^2[/tex]

[tex]6^{2} +8^{2} =c^2\\c^2=100\\c=\sqrt{100} \\c=10km[/tex]

The answer is 10
X^2=8^2+6^2

Pls solve 60 points if you do

Answers

Answer:

Cos2a - cot2a/sin2a - tan2a

Step-by-step explanation:

Please help!
(x, y)→(x + 130, y + 105 )
Graph

Answers

So the transformed rectangle has vertices A'(40, 160), B'(40, 130), C'(80, 130), and D'(80, 160).

What is transformation rule?

In mathematics, a transformation rule (also known as a transformation function, transformation formula, or simply a transformation) is a mathematical rule or formula that describes how to map or transform a set of points in one coordinate system to another set of points in a different coordinate system. Transformations can be applied to various mathematical objects, such as points, lines, curves, shapes, or functions, and can be used to achieve various purposes, such as to change the size, shape, position, or orientation of an object, to create a mirror image or a rotation of an object, or to change the coordinate system of an object.

Here,

There appears to be an error in the coordinates of points B and D that you provided, as they are both (-90,25). I will assume that the correct coordinates of point D are (-50,55) to form a rectangle ABCD.

To apply the given transformation rules to each of the four vertices of the rectangle, we add 130 to the x-coordinate and 105 to the y-coordinate. Therefore, the coordinates of the transformed rectangle are:

A' = (-90 + 130, 55 + 105) = (40, 160)

B' = (-90 + 130, 25 + 105) = (40, 130)

C' = (-50 + 130, 25 + 105) = (80, 130)

D' = (-50 + 130, 55 + 105) = (80, 160)

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Complete question:

Please help! The transformation rules says: (x, y)→(x + 130, y + 105 )  

Given rectangle ABCD with A(-90,55) B(-90,25) C(-50,25) D(-50,25).

Find the coordinates of transformed rectangle.

Identify and name congruent triangles

Answers

The answers are a) ASA congruence rule b) SSS congruence rule c) it is not necessary congruent.

What is Congruence ?

Congruent refers to having the same height and shape. Congruent therefore involves comparing two numbers, and equivalent denotes the equality of two expressions. Therefore, to state two line segments are congruent implies that the two lines have equal measures.

According to question:

a) ∠GIH is corresponding to ∠LJK

GH = KL

∠IHG = ∠KLJ

By ASA congruence rule

ΔGIH ≅ ΔJKL

b) AB  = DF

AC = DE

BC = EF

By SSS congruence rule

ΔABC ≅ ΔDEF

c) Two Corresponding sides are congruent, which is not enough to make them congruent.

So, it is not necessary congruent.

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Expand and simplify (3x - 1)(9x² + 3x + 1)​

Answers

simplify: 27x^3 - 1 ionk bout expand

There are 30 students in Mr. Hall class. 1/3 of the students are traveling somewhere this summer. Of those traveling, 1/5 are going out of the country. How many students are traveling out of the country?

Answers

The number of students traveling are 2 students out of the 30 who are traveling out of the country this summer.  If 1/3 of the students are traveling somewhere this summer, then we can calculate the number of students who are traveling by multiplying the total number of students by 1/3:

Number of students traveling = 30 x 1/3 = 10  

Now, we need to find out how many of these 10 students are traveling out of the country. We know that 1/5 of the students who are traveling are going out of the country, so we can find the number of students who are traveling out of the country by multiplying the total number of traveling students by 1/5:

Number of students traveling out of the country = 10 x 1/5 = 2

Therefore, there are 2 students out of the 30 who are traveling out of the country this summer.

It's important to note that fractions can be converted to decimals or percentages to make them easier to work with. For example, 1/3 can be written as 0.33 or 33%, and 1/5 can be written as 0.20 or 20%. This can be particularly useful when dealing with more complex problems or when working with larger numbers.

In summary, by using the information given, we can determine that out of the 30 students in Mr. Hall's class, 10 are traveling somewhere this summer, and out of those 10 students, 2 are going out of the country. This type of problem-solving helps build math skills that are applicable in real-world scenarios, such as budgeting and planning for travel.

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Armando opened a new savings account with an initial deposit if $250. Which combination will result in a zero balance in armandos account?

Answers

A zero balance in Armando's account can be achieved by subtracting $250 from the account balance. This can be done through a combination of withdrawals and/or transfers out of the account.

What is subtracting?

Subtracting is a mathematical operation that involves taking one number away from another. It is the inverse of addition, and is represented by the minus sign (-). Subtracting is used to determine the difference between two numbers, or to reduce a number by a given amount. In algebraic terms, subtracting is represented by the equation: a - b = c, where a is the starting number, b is the number to be subtracted, and c is the resulting difference. Subtracting can also be used on fractions, decimals, and other forms of numbers.

For example, Armando could make a $250 withdrawal from the account or transfer $250 to another bank account.

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Use the table to answer the following question. The table shows pairs of values for a linear function. A different function is defined by the equation y = 4x. Which of the following statements is TRUE? The functions both have a slope of 4. The functions are both proportional. The functions have opposite slopes. The functions both have a y-intercept of 4.

Answers

A statement which is true include the following: C. The functions have opposite slopes.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

m represent the gradient, slope, or rate of change.x and y represent the data points.c represent the vertical intercept, y-intercept or initial number.

Based on the information provided above, an equation that models one of the function is given by;

y = 4x

mx = 4x

Slope, m = 4.

For the other function, the slope can be calculated as follows;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 - 4)/(1 - 0)

Slope (m) = -4/1

Slope (m) = -4.

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Benito made a wooden box to grow herbs on his patio. The box is 16 inches wide, 12 inches tall, and 28 inches long. He plans to fill the box exactly two-thirds full with potting soil. What volume of soil does Benito need? I know how to do this I just need to know if the two-thirds part is trying to throw me off

Answers

To fill the wooden box with potting soil precisely up to two-thirds of its capacity, Benito requires a volume of 3,584 cubic inches.

The volume of soil that Benito needs to fill the box two-thirds full can be calculated by finding two-thirds of the total volume of the box.

The volume of the box can be calculated by multiplying the width, height, and length:

16 inches (width) x 12 inches (height) x 28 inches (length) = 5,376 cubic inches.

Two-thirds of this volume can be found by multiplying the total volume by 2/3:

5,376 cubic inches x 2/3 = 3,584 cubic inches.

Therefore, Benito needs 3,584 cubic inches of potting soil to fill the box exactly two-thirds full.

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Suppose you have a certain amount of money in a savings account that earns compound monthly interest, and you want to calculate the amount that you will have after a specific number of months. The formula is as follows: f=p*(1 + i)^t f is the future value of the account after the specified time period. p is the present value of the account. i is the monthly interest rate. t is the number of months. Write a program that takes the account's present value, monthly interest rate, and the number of months that the money will be left in the account as three inputs from the user. The program should pass these values to a function that returns the future value of the account, after the specified number of months. the program should print the account's future value. SAMPLE RUN #2: python3 FutureValue.py None Show Highlighted Only Interactive Session Hide Invisibles Highlight: Enter current bank. balance: 35.72 Enter.interest rate:0 Enter the amount of time that passes: 100 35.7

Answers

Answer:

Step-by-step explanation:

Hi there! Just multiply by x and find the value of f=p. Good luck!

BP = FC + VCM

The fixed costs associated with the fundraiser include: one-time charges of art ($45), screen and set-up ($60),
and advertising ($50 for a newspaper ad). In addition, the unit cost of the sweatshirt will be $16.50 per sweatshirt, with an additional charge of $.50 per shirt for shipping and individual plastic wrap. You plan to sell the sweatshirts for a retail price of $22.

A. Calculate breakeven in units.

B.calculate breakeven in dollars

Answers

1. The breakeven in units equals 31 units.

2. The dollar amount to breakeven is

What is the breakeven in units?

The variable cost per unit includes the cost of the sweatshirt ($16.50) and the additional charge for shipping and plastic wrap ($0.50), so the total variable cost per unit is:

= $16.50 + $0.50

= $17.00

The contribution margin per unit is:

= 22.00 - $17.00

= $5.00

The fixed costs include the one-time charges of art ($45), screen and set-up ($60), and advertising ($50), so the total fixed costs are:

= $45 + $60 + $50

= $155

Using the breakeven formula, we can calculate the number of units required to break even:

= Fixed costs / Contribution margin per unit

= $155 / $5.00

= 31 units

What is the breakeven in dollars?

To calculate the breakeven in dollars, we need to multiply the breakeven in units by the selling price per unit:

The breakeven in dollars equals to:

= Breakeven in units x Selling price per unit

= 31 x $22.00

= $682.00

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ASA, SSS, SAS

Define each postulate and give a well written and visual example of each term.

Include as much detail as possible

Answers

Answer:

In geometry, postulates are statements that are accepted as true without proof. The three postulates for congruent triangles are ASA, SSS, and SAS. These postulates are used to prove that two triangles are congruent.

ASA Postulate:

ASA stands for "Angle, Side, Angle." This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have ∠A ≅ ∠D, ∠B ≅ ∠E, and AB ≅ DE. Therefore, we can conclude that ΔABC ≅ ΔDEF by ASA postulate.

SSS Postulate:

SSS stands for "Side, Side, Side." This postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and AC ≅ DF. Therefore, we can conclude that ΔABC ≅ ΔDEF by SSS postulate.

SAS Postulate:

SAS stands for "Side, Angle, Side." This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Visual example:

In the above image, ΔABC and ΔDEF have AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Therefore, we can conclude that ΔABC ≅ ΔDEF by SAS postulate.

Overall, the ASA, SSS, and SAS postulates are important tools in proving the congruence of triangles in geometry. They allow us to make logical deductions about the properties of triangles based on their corresponding angles and sides.

Answer:

They are different because ASA means that the two triangles have two angles and the side between the angles congruent. SAS means that two sides and the angle in between them are congruent

Step-by-step explanation:

and sss If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

hihihihihihihihihihihihihihihihihi

Answers

hola hola hola hola :))

please help ill give brainliest to the first correct answer.
i really dont understand this question

Answers

The required time is mathematically given as

t-150 minutes.

This is further explained below.

What is the time?

We know that the volume of the prism is given by.

[tex]\text{Volume}=\text{(Base Area)}\times\text{height}[/tex]

[tex]\text{Base Area}=\dfrac{1}{2}\times(1.4+0.6)\times2[/tex]

[tex]\text{Base Area}=2\ \text{m}^2[/tex]

Now,

[tex]\text{Volume}=2\times1=2\ \text{m}^3[/tex]

Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.

Because of this, the volume increases.

[tex]\text{Volume}=2\times0.8=1.6\ \text{m}^3[/tex]

Now, the rate of emptying the tank is,

[tex]=\dfrac{2-1.6}{30} =\dfrac{1}{75} \ \text{m}^3/ \text{min}[/tex]

In conclusion, We also know that,

$$

[tex]\text{time}=\dfrac{\text{volume}}{\text{rate}}[/tex]

[tex]\text{time}=\dfrac{2}{\frac{1}{75} } =150 \ \text{min}[/tex]

Therefore, Colin must wait for the pond to drain for a total of 150 minutes.

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Write a formula for f(t) as a sum of Heaviside functions. Type uc for the Heaviside function that jumps at c (don't type uc(t) ). F(t) = t, 0 ≤ t ≤ 3 2t−3, 3 < t ≤ 4 5, 4 < t

Answers

The formula for f(t) as a sum of Heaviside functions is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4).

To express f(t) as a sum of Heaviside functions, we break down the function into its respective intervals and use the unit step function or Heaviside function to represent the function in each interval.

f(t) = t, 0 ≤ t ≤ 3

f(t) = 2t - 3, 3 < t ≤ 4

f(t) = 5, 4 < t

Using the Heaviside function uc for the jump at c, we can represent each interval as follows:

f(t) = tuc(t) - tuc(t-3), 0 ≤ t ≤ 3

f(t) = (2t-3)uc(t-3) - (2t-3)uc(t-4), 3 < t ≤ 4

f(t) = 5uc(t-4), 4 < t

Therefore, the formula is f(t) = tuc(t) - tuc(t-3) + (2t-3)uc(t-3) - (2t-3)uc(t-4) + 5uc(t-4)

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Write the percent as a decimal.
95%

Answers

Answer:

9.5 decimal

espero y te ayude

0.95 is the correct answer

PLEASE HELP ME!
i have no clue what to do

Answers

Answer:

Step-by-step explanation:

you are going to give more info ?????

Megan's standard pay is £17.70 per hour. She gets paid 1.5 times this rate for working overtime. How much will Megan get paid for working 11 hours of overtime? Give your answer to the nearest pound.​

Answers

Answer:

Step-by-step explanation:

Overtime Rate = [tex]17.70 \times 1\frac{1}{2}[/tex]

                        [tex]= 17.70 \times \frac{3}{2}[/tex]

                       [tex]=\frac{53.10}{2}[/tex]

                      [tex]=\pounds26.55[/tex]

Pay [tex]=11*26.55=\pounds 292.05[/tex]    (I assume you can use a calculator for this)

Solution: [tex]\pounds 292[/tex]

                       

The coordinates below represent points that were translated.Draw a line to connect the coordinates with the correct description and algebraic representation of the translation.

Answers

(x-11, y+14) = (-4-7, 7+7) = (-11,14) which matches the new coordinates T(-11,14).

The coordinates' meaning is unclear?

In this sense, coordinates are the points where a grid system intersects. GPS coordinates are typically created by combining latitude and longitude. The distance of north and the south from the equator, which is 0 degrees iof north and south, is measured by lines of latitude.

COORDINATES       DESCRIPTION                     ALGEBRAIC REPRESENTATION

8. T (-4,7)             7 units right, 7 units up                      (x-11, y+14)    

9. U (3,-4)               7 units left, 7 units up                         (x+7, y+7)      

10. V (-2,-10)           7 units right, 7 units down                  (x+7, y-7)  

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from a survey involving 1,000 university students, a market research company found that 750 students owned laptops, 450 owned cars, and 350 owned cars and laptops. if a university student is selected at random, what is the (empirical) probability that

Answers

The probability that a student selected randomly owns either a laptop or a car is 85%.

Given a survey with a total of 1000 students, the following data was obtained: 750 students own laptops450 students own cars350 students own laptops and cars a university student is selected at random, what is the (empirical) probability that the student owns either a laptop or a car?

For two events A and B, the union of A and B is the probability that event A or event B occurs. It is the addition of the probabilities of each event minus the intersection of the two events. So in this case, the probability of a student owning either a laptop or a car is P(A∪B) = P(A) + P(B) - P(A∩B) where:

P(A) = probability of owning a laptop = 750/1000 = 0.75

P(B) = probability of owning a car = 450/1000 = 0.45

P(A∩B) = probability of owning both a laptop and a car = 350/1000 = 0.35

Now, substituting values into the formula:

P(A∪B) = 0.75 + 0.45 - 0.35= 0.85

Therefore, the probability that a university student selected randomly owns either a laptop or a car is 85%.

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Suppose a product's revenue function is given by R(q) = - 7q + 600qr. Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to use the proper variable in your answer. (Use the preview button to check your syntax before submitting your answer.) Answer: MR(q) =

Answers

The expression for the marginal revenue function is MR(q) = 600r - 7.

The given product's revenue function is R(q) = - 7q + 600qr.

To find an expression for the marginal revenue function, we can use the following steps:

Step 1: Take the first derivative of the revenue function with respect to q to obtain the marginal revenue function MR(q).

Step 2: Simplify the expression for MR(q) to record the final result.

In other words, the marginal revenue function MR(q) is the derivative of the revenue function R(q) with respect to q. Here, R(q) = - 7q + 600qr.

So, we have to differentiate R(q) with respect to q to get MR(q).

The derivative of - 7q with respect to q is - 7.

The derivative of 600qr with respect to q is 600r because the derivative of q with respect to q is 1.

MR(q) = dR(q) / dq

= (d/dq)(- 7q + 600r)

= (- 7) + (600r)

= 600r - 7

The equation that represents the marginal revenue function is MR(q) = 600r - 7.

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