A rectangular aquarium is 12 inches tall. The perimeter of the base is 80 inches. The length of the base is 4 times the width of the base. Enter the volume, in cubic inches, of the aquarium.

Answers

Answer 1
Let's call the width of the base "w" and the length of the base "l". Since the perimeter of the base is 80 inches, this means that 2w + 2l = 80. We are also told that the length is 4 times the width, so l = 4w. We can substitute this second equation into the first equation to get 2w + 2(4w) = 80, which simplifies to 10w = 80. Dividing both sides by 10, we find that w = 8 inches. The width of the base is 8 inches, so the length of the base is 4 * 8 inches = 32 inches. The volume of the rectangular aquarium is the product of the base's area and the height of the aquarium, so it is (32 inches * 8 inches) * 12 inches = 3072 cubic inches. Therefore, the volume of the aquarium is 3072 cubic inches.
Answer 2

Answer:

Step-by-step explanation:

Okay so you have to multiple 12 x 80 which gives you 960, then you  mulitply 960 x 4 to get your final answer which is 3840 cubic inches


Related Questions

2. A computer technician charges
$75 for a consultation plus $35
per hour

Answers

Answer: y = 35x + 75

Step-by-step explanation:

Let x be the number of hours and y is the total cost

We will have the equation

y = 35x + 75

Each nack cot $0. 75 , and the amount wa charged to Dave’ account. What amount hould be on Dave’ account for nack lat month?

Answers

If Dave bought 5 packs of snacks, then the amount on Dave's account for snack last month should be $3.75.

Dave purchased 5 packs of snacks last month and the cost of each pack was $0.75. The total cost of the snacks was charged to Dave's account, so his account balance should reflect the total cost of the snacks. In this case, Dave purchased 5 packs of snacks, so the total cost would be $3.75 ($0.75 x 5). Therefore, Dave's account balance should show $3.75 for the snack purchases last month. This amount is the sum of the individual cost of each snack pack, multiplied by the number of packs Dave purchased. In this case, the amount on Dave's account for snack last month should be $3.75.

5 packs of snacks x $0.75 = $3.75

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J'(-7, -3) is the image of J after a translation along the vector <-5, 4>. What are the coordinates of J? Choose from the following:
(12,-1)
(-12, 1)
(-2,-7)
(2,7)

Answers

The coordinates of J are (-2, -7) , hence the correct option is C.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.The translated forms (or the image) seem to be an equivalent size because the original shape, indicating that they're congruent. They’ve merely shifted in one or additional directions.

Main body:

Given that, J’(-7, -3) is the image of J after translation (x, y) → (x - 5, y + 4)

We have, x-5 = -7

x = -2

And, y+4 = -3

y = -7

Hence, We get the coordinates of J are (-2, -7).

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the extent to which a reesearcher's sample is representative of the population that it was drawn from is called

Answers

The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.

Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.

Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.

Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.

In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.

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Clayton and Iri purchae admiion to a carnival plu a number of game ticket. Clayton purchaed 10 game ticket and pend $19. 50. Iri purchae 15 game ticket and pend $23. 25. Determine tye cot per game ticket

Answers

The combined cost per game ticket is $1.71

In this question we have been given Clayton and Iris purchase admission to a carnival plus a number of game tickets. Clayton purchased 10 game tickets and spend $19. 50.

Iris purchase 15 game tickets and spend $23. 25

We need to determine cost per game ticket.

The total cost of Clayton's game tickets is $19.50 for 10 tickets,

So, by unitary method the cost per ticket is:

= 19.5/10

= $1.95 per ticket.

The total cost of Iri's game tickets is $23.25 for 15 tickets

So, by unitary method the cost per ticket is:

= 23.25/15

= $1.55 per ticket.

The combined cost of all the game tickets is $19.50 + $23.25 = $42.75.

The total number of game tickets purchased is 10 tickets + 15 tickets = 25 tickets.

The combined cost per game ticket would be,

= 42.75 / 25

= $1.71 per ticket.

Therefore, the cost per game ticket = $1.71

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Which of the following is not a criteria for the construction of triangle Class 7?
a)SSS
b) SAS
c) ASA
d) SSA

Answers

Answer:

D. SSA

Step-by-step explanation:

SSA doesn't work because it can produce 2 different triangles that wouldn't be congruent. The angle of the 3rd side without restriction could change, changing the size of the figure. The image attached can help you understand this.

m/STM = 31x - 3
m/MTU = 20x + 5
m/STU = 155 degrees
Find m/MTU.

Answers

The Angle ∠MTU from the figure is 65°

What are Angles?

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.

Calculation:

Given,

STM=31X-3;

MTU=20X+5;

STU=155°;

From the figure we can say that

STU= STM+MTU;

⇒ 155=31x-3+20x+5;

⇒155=51x+2;

⇒x=3;

Now substitute x in MTU;

MTU=20(3)+5=65°

The Angle ∠MTU from the figure is 65°

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Marc wrote down a 5 digit number on a piece of paper. The number when rounded off to the nearest thousand was 12 000. What was the greatest possible number that he wrote?

Answers

Answer:

12499

Step-by-step explanation:

because if it would be 12500 it would round up to 13000.

tonya and jill each opened savings accounts. tonya started with $60 and deposited $20 each month. jill started with $20 and deposited $40 each month. if they continue to make deposits at the same rate, when will they have the same amount of money

Answers

The month they would have the same amount of money is 2 months.

When would they have the same amount of money?

The linear equation that can be used to represent the total amount of money saved by each person is

Total amount saved = amount started with + (amount deposited per month x number of months)

Amount saved by Tonya = $60 + $20m

Amount saved by Jull = $20 + $40m

When they save the same amount of money, the two two above equations would be equal:

60 + 20m = 20 + 40m

In order to determine the value of m, take the following steps:

60 - 20 = 40m - 20m

40 = 20m

m = 40 / 20

m = 2

Substitute for m in the equation that represents the total amount of money saved by Tonya:

$60 + $20(2)

$60 + $40 = $100

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a segmented bar chart was created showing the lunch preference by grade. what percent would the bar for 11th graders show for preferring hotdogs?

Answers

If the 11th graders prefer hotdogs at a rate of 70%, the bar for 11th graders would show 70% percentage.

A segmented bar chart is a graphical representation of data that is divided into different segments. It is typically used to compare different categories of data. In this case, the bar chart is used to compare the lunch preference of different grades. The bar for 11th graders would show the percentage of 11th graders who prefer hotdogs. If 70% percentage of 11th graders prefer hotdogs, then the bar for 11th graders would show 70%. The bar chart can also show the percentage of 11th graders who prefer other lunch options, such as sandwiches, salads, etc. This information can help school administrators to better understand the lunch preferences of their students and make informed decisions about what types of food to serve for school lunch.

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Urgent!!! Help guysss

Answers

Answer:

mandatory pay raises

Step-by-step explanation:

What is the biggest misconception about you?*

Answers

I do not have any information about you or your beliefs, experiences, or actions.. I do not have the ability to make judgments or assumptions about you or any other individual, you should provide more context as well as fix the category your question is listed under, you might have better results.

A cubic polynomial function f is defined by. 3. 2. ( ) 4. f x x ax bx k where a, b, and k are constants

Answers

In a cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants and has a local minimum at x = -2 and a local maximum at x = 0, then values of a and b is 12 and 0 respectively. If integrate of f(x)dx = 32 from 0 to 1, then value of k is 27.

The given cubic polynomial function is

f(x) = 4x³ + ax² + bx + k

f'(x) = 12x² + 2ax + b

f''(x) = 24x + 2a

At local maximum f' = 0

f'(0) = 12×(0)² + 2a×(0) + b = 0

b = 0

At local minimum, f' = 0

That is f'(-2) = 0 and f''(-2) > 0

f'(-2) = 12×(-2)² + 2a×(-2) + b = 0

48 - 4a + b = 0

4a - b = 48  

a = 12

Therefore, f(x) =  4x³ + 12x² + k

Integrate f(x)dx = 32 from 0 to 1, that is

∫₀¹ f(x)dx = 32

∫₀¹ (4x³ + 12x² + k) dx = 32

[ x⁴ + 4x³ + kx ]₀¹ = 32

(1⁴ - 0⁴) + 4(1³ - 0³) + k(1 - 0) = 32

1 + 4 + k = 32

k = 27

-- The question is incomplete, answering to the question below--

"A cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants. The function f has a local minimum at x = -2 and a local maximum at x = 0.

A. Find the values of a and b

B. If you integrate f(x)dx = 32 from 0 to 1, what is the value of k?"

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-10.5 + m/ 11.57 = -2.748

Solve for M

Answers

Answer: 89.69

Step-by-step explanation:

-10.5 + m/ 11.57 = -2.748

First, we add 10.5 on both sides

m/ 11.57 = 7.752

Then we multiply both sides by 11.57

m = 89.69064, or we can simplify it be 89.69

lana elf measured the width of 9 xmas presents the total width of all the presents was 135 inches if the presents were the same width ow wide was each present if all presents had different widths what is one possiility for the widths of 9 presents

Answers

15 inches is the width of each present.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Lana elf measured the width of 9 Christmas presents.

The total width of all the presents was 135 inches.

If the presents were all the same width then we need to find the width of each present.

w=width.

As given, 9w=135

Divide both sides by 9

w=135/9

w=15

Hence, 15 inches is the width of each present.

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Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
Q
square in Figure 1?
Figure
Figure 2
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a2 + b2 = c?.
In each figure the total area is equal and the area of the triangles is equal, se
the remaining white area in each figure must also De equal.

Answers

Answer:

This because the root cancel each other

if you were to integrate around the curve in the opposite direction, what would be the value of the line integral?

Answers

both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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You randomly chooe one of the chip. Without replacing the firt chip, you chooe a econd chip. Which quetion i different?

Answers

The probability is 0.07777.

What does probability mean?

The number of desired outcomes divided by the total number of outcomes yields a probability.

We are attempting to determine the likelihood, out of 10, that the first chip will be white and the second won't be green while assuming that one chip is white and two are green.

1/10 of the time, the initial chip will be white. If the first chip is white, there is a 7/9 chance that the second chip will be a color other than green. The desired probability is therefore provided by:

Ten chips are present.

white 1

red 4

green 2

Blue 3

the likelihood of selecting the W chip is one in ten, or 0.10

There are now only 9 chips left (the first chip was not replaced)

Selecting a non-green chip has a probability of (9-2)/9 = 7/9 = 0.7777.

you multiply the two probabilities to obtain the overall probability at this point.

probability is 0.1 to 0.7776.

The probability is equal to 0.07777, which implies that it must be less than 0.1.

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I need help at math

Answers

Answer:

I) 70°

II) 120°

Step-by-step explanation:

In a regular polygon the sum of all its internal angles is equal to

180° × (n – 2)

where:

n = number of sides of the polygon

Use Descartes' Rule of Signs to identify the number of positive real roots and negative real roots for the polynomial function.
P(x)=xthree+5x2-3x+7 PLS HELP ME ILL MARK YOU BRAINLIEST 20 POINTS

Answers

Answer:

the number of positive real roots is one

the number of negative real roots is one

I not sure I was right

Step-by-step explanation:

[tex]x^{3} +5x^{2} -3x+7[/tex]

it changed the sign in the second to the third term,so,it was one root

[tex]-x^{3} +5x^{2} +3x+7[/tex]

Change the coefficients of odd items, and the signs of the first to second items change, so there is also a root.

Answer:

Maximum of 2 positive real rootsExactly 1 negative real root

Step-by-step explanation:

Descartes' Rule of Signs tells us the maximum number of positive and negative real roots in a polynomial function.

Positive root case

[tex]\begin{aligned}p(x)&=(x)^3+5(x)^2-3(x)+7\\ &=+x^3+5x^2-3x+7\end{aligned}[/tex]

Check the signs of the coefficients. As there are 2 sign changes, the maximum possible number of positive roots is 2.

However, as some pairs of roots may be complex, count down by two's to find the complete list of the possible number of roots.

So there may be as many as 2 real roots or there might also be no real roots (zero).

Negative root case

[tex]\begin{aligned}p(-x)&=(-x)^3+5(-x)^2-3(-x)+7\\&=-x^3+5x^2+3x+7\end{aligned}[/tex]

Check the signs of the coefficients.  As there is one sign change, the maximum possible number of negative roots is 1.  We can't count down by two's since this would give us a negative number. Therefore, there is exactly 1 negative root.

Note:  There is one real negative root of the given function at x ≈ -5.74 and two complex roots at x = 0.37 + 1.04i  and  x = 0.37 - 1.04i.

Revert to the photo for the math question.
Thanks!

Answers

The volume of the crater is 64800000 m³

Calculating volume of the crater

From the question, we are to determine the volume of the crater.

From the given information,

d = 2∛(V/0.3)

To determine the volume,

First, we will solve for V in the equation

d = 2∛(V/0.3)

Divide both sides by 2

d/2 = ∛(V/0.3)

Take the cube of both sides

(d/2)³ = V/0.3

Then,

V = 0.3(d/2)³

Now, substitute the value of the diameter

d = 1200m

Then,

V = 0.3(1200/2)³

V = 0.3(600)³

V = 64800000 m³

Hence, the volume is 64800000 m³

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Amy wants to save 500 to buy a TV. She saves each week. The amount, A (in dollars), that she still needs after W weeks is given by the following function . A(W)=500-19W Answer the following questions. (a) If Amy still needs 177 , how many weeks has she been saving?

Answers

Answer:

A(W)=500-19W

177W = 500 - 19W

177W + 19W = 500

196W = 500

W = 2.5

Therefore, Amny needs to save for 2.5 weeks

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Theresa is making accessories for the soccer team. She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches. She also uses 267.53 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

The amount of fabric used on a headband and wristband for each player is $30.97.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches.

Per person = 759.56/(31 + 3) = $22.34

As per the given,

267.53 inches of fabric on wristbands for just the players.

Per player = 267.53/31 = $8.63

Total material of per player = $22.34 + $8.63

⇒ $30.97

Hence "Each player's wristband and headband cost $30.97 worth of cloth".

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A shipping container will be used to
transport several 150-kilogram crates
across the country by rail. The greatest
weight that can be loaded into the
container is 27500 kilograms. Other
shipments weighing 6800 kilograms have
already been loaded into the container.
Write and solve an inequality which can
be used to determine x, the number of
150-kilogram crates that can be loaded
into the shipping container.

Answers

Answer:

x=138

Step-by-step explanation:

Final answer:

The question is a high school Mathematics problem. It involves using inequalities to solve a practical problem about a shipping container's weight limit. The answer found was that a maximum of 138 crates can be added to the container.

Explanation:

In this Mathematics problem, we have a shipping container that can hold a maximum weight of 27500 kilograms and there are already shipments totaling 6800 kilograms inside. We want to find out how many 150-kilogram crates (let's call this number 'x') can be added to the container without exceeding the maximum allowable weight.

Firstly, we build an inequality. The total weight of the container should not exceed 27500 kilograms, so we have:

6800 (the weight of the already loaded shipments) + 150*x (the weight of the x crates) ≤ 27500

This simplifies to:

150*x ≤ 20700 (because 27500-6800=20700)

Finally, to solve the inequality for 'x', divide throughout by 150:

x ≤ 138 (because 20700/150=138)

So, 138 is the maximum number of 150-kilogram crates that can be loaded into the shipping container without violating the weight constraint.

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6d+5/1/3 Tell how many terms the expression has

Answers

Answer:

2 terms

Step-by-step explanation:

An algebraic expression may be composed of one or more terms. A term of an expression may be a constant, a variable, a product of more than two variables (xy), or a product of a variable and a constant.

if the sides of a square are increasing at a rate of 3 in/sec, at what rate is the area increasing when the edges are 10 in?

Answers

Answer:

Below

Step-by-step explanation:

Square area = s^2

    ds/dt = 3

Area = s^2      Find the derivative with respect to t of both sides

area/dt = 2s ds/dt

                    = 2 (10)(3)  = 60 in^2   per sec

             

1 2/5m - 3/5 ( 2/5m + 1 ) I tried -3/5 it is wrong simplify pls

Answers

Refer to the photo taken.

Answer:

[tex] \sf \: \frac{29m - 15}{25} \: (or)1 \frac{4}{25}m - \frac{3}{5} [/tex]

Step-by-step explanation:

Given expression,

→ 1 2/5m - 3/5(2/5m + 1)

Simplifying the given expression,

→ 1 2/5m - 3/5(2/5m + 1)

→ (7/5)m - 3/5(2/5m + 1)

→ (7/5)m - (6/25)m - (3/5)

→ (35/25)m - (6/25)m - (3/5)

→ ((35 - 6)/25)m - (3/5)

→ (29/25)m - (3/5)

(29m - 15)/25

→ 1 4/25m - (3/5)

Hence, answer is 1 4/25m - (3/5).

5/6x-4=-2 PLease help thanks so much i hope yall have a good day

Answers

The value of x would be [tex]x=\frac{12}{5}[/tex].

What is Calculus?

Calculus is a branch of mathematics that focuses on the study of change, or the rate of change of a given function. It involves the use of derivatives, integrals, and limits to solve problems in physics, engineering, economics, and other sciences. Calculus is used to describe the behavior of objects under changing conditions, such as velocity, acceleration, and force. It is also used to optimize systems and to solve equations involving functions of several variables. Calculus provides a powerful tool for analyzing and understanding the physical world.
             [tex]\frac{5}{6} x-4=-2[/tex]
Now, combining  [tex]\frac{5}{6}[/tex] and x we get

             [tex]\frac{5x}{6} -4=-2[/tex]

So,

           [tex]\frac{5x}{6} -4=-2\\\\\frac{5x}{6} =2\\\\x=\frac{12}{5}[/tex]

Hence, [tex]x=\frac{12}{5}[/tex].

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the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?

Answers

the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).

The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.

The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.

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Solve this equation. -108 = 6x for x

Answers

Answer: x = 18

Step-by-step explanation: If you do 108 divided by 6, you get 18.

I'm not sure whether this is what you wanted for an answer, but here.

Answer:

[tex] \sf \: x = - 18[/tex]

Step-by-step explanation:

Given equation,

→ -108 = 6x

Now the value of x will be,

→ -108 = 6x

→ 6x = -108

→ x = -108/6

→ [ x = -18 ]

Hence, the value of x is -18.

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This would enable her to sell these mixers to a wider range of customers using the Internet.Natalie contacts her brother who originally prepared the website for her. He agrees to upgrade the site so it can handle credit card security issues as well as direct order entry. The cost of the upgrade is $1, 800. This cost would be incurred and paid for during the month of August 2018, and the upgrade would be operational on September 1, 2018. Recall that Natalie's website had an original cost of $600 and is being amortized using the straight-line method over 24 months, starting December 1, 2017, with zero residual value. Additional costs for website maintenance and insurance are estimated to be $1, 200 per year.If Natalie decides to upgrade the website, its useful life will not change and there will be no change in residual value. in an interprofessional team, the role of a nurse leader is elevated from caregiver to include which essential responsibilities? (select all that apply.) Put the correct definition with the correct wordincusauriclemalleussemicircular canalscochleaeardrumstapescochlear nerveear canaland the definitions are:- Third auditory ossicle: conducts amplified signal to the inner ear- between the malleus and the stapes- separates outer and middle ear: transfers vibrations to auditory ossicle- first auditory ossicle: bound to the eardrum- collects sound from the environment- contain hair cells for converting vibrations to electrical impulses- transmits electrical impulses from the cochlea to the brain- senses rotations of the head: involved in balance- passageway through temporal bone: leads to eardrum In an experiment with a simple pendulum, measurements of the period T of the pendulum are made for different values of its length L. When plotted on a graph, which of the following should result in a straight-line fit of the data? A) Root T versus L B) T versus L C) T versus^ L2 D) T^2 versus L E) T^2 versus L^2 select all the statements that describe the use of harmony by twentieth-century composers. multiple select question. they treated all chords as having essentially the same tension. they often used traditionally dissonant chords as stable chords. consonant chords began to be treated as a point of arrival. they were freer in their views of what could be considered consonance and dissonance. which of the following artworks demonstrate the influence of pop art, performance art, and feminism on postmodernism? introduction this memorandum report identifies and explains key microeconomic principles using a set of simulation games. the outcome of these games illustrate how microeconomic principles can be applied within real-life situations to help us make better business decisions. this report is a summary of the simulations i played and their results, which include the key takeaways and their significance, for your review and reference. it is divided into the following sections: which section of the texas act would exempt an engineering employee working solely for a manufacturing firm from the engineering licensure provisions of the act? The global epidemic of ______ is expected to increase, accompanying levels of _____ around world?