Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?

Answers

Answer 1

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:


Related Questions

Simplify the expression. Write your answer as a power.

Answers

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]

Answers

Answer: 117/35 or 3 12/35

Step-by-Step Explanation:

1 1/5 = 6/5 (improper fraction form)
2 1/7 = 15/7 (improper fraction form)

Now we can add 6/5 and 15/7. To do this we have to take the LCM of 7 and 5 which would be 35 and make the denominators equal by multiplying the denominator and numerator with such a number that gives 35 as the denominator.

=> (6 * 7)/(5 * 7) = 42/35
=> (15 * 5)/(7 * 5) = 75/35

Now we can add the fractions.

=> 42/35 + 75/35
= (42 + 75)/35
=> 117/35 or 3 12/35

Please help me its a math problem thank you i give brainlist

Answers

Answer:

1.875

Step-by-step explanation:

the average rate of change of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

here [a, b ] = [- 1, 3 ] , then

g(b) = g(3) = 2³ + 1 = 8 + 1 = 9

g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5

then

average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875

Answer & Explanation :

use your formula to convert 20 minutes to seconds please help me​

Answers

Step-by-step explanation:

Converting 20 minutes into second....

20 × 1 minute

20 × 60 seconds

1200 seconds...

I need help for this one!!! What u

Answers

The above is not a function because -2 is mapped to two elements 2 and -4.

What is a function?

A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.

The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).

In other words, one element must be mapped to another element.

Each element cannot be mapped to two elements.

Therefore, the above is not a function.

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In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.

What type of material did the water most likely encounter when it stopped?

a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks

Answers

Answer:

A layer of granite

Step-by-step explanation:

This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.

The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We get;

An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.

After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.

Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.

In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.

Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

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In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.

Answers

Answer:

99

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

HELP!!

Which of the statements below are true for linear functions? Select all that apply.

1. The general equation is y = mx + b.

2. The general equation is y = ax^2 + bx + c

3. The general equation is y = ab^x

4. The graph contains a vertex

5. The slope of the graph is constant and can be defined as rise over run.

Answers

[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

         Which of the statements below are true for linear functions?

         Select all that apply.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

       The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].

The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.

The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]

So we conclude that the right options are

[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.

[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

If you live in a state that needs to collect $18 million in property taxes and has a tax rate of 2.77%, what is that state's
taxable value?
O $650 million
O $65 million
O $6 million
O $499,000

Answers

Answer:

la respuesta es 65 millones

The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer

Answers

The second quartile is the median of the data sets and have a value of 100.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.

The second quartile is the median of the data sets and have a value of 100.

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Select the correct answer from the drop-down menu. a survey conducted in a certain town found that 1 out of every 5 individuals owned a bike. a statistician calculated the margin of error to be 1.5%. the maximum percentage of individuals who own a bike is .

Answers

The maximum percentage of individuals who own a bike is 21.5%.

What is the maximum percentage?

Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.

The maximum percentage = margin of error + true value

(1/5) x 100 + 1.5% = 21.5%

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Answer:

See image

Step-by-step explanation:

Plato

Please answer c.) with working

Answers

Answer:

a: 44%

(11×100)÷25=44

b: 3

2×4=8

3×1=3

8+3=11

14-11=3

A triangular prism has a triangular face with a base of 7 meters and a height of 10 meters. It’s volume is 259 cubic meters. What is the length of the triangular prism. (will mark brainliest)

Answers

What is the length of the triangular prism is 3.7

259 / 10 = 25.9

25.9 / 7

= 3.7

If u have 0,-1,1.7, 1/2 do it from least to greatest

Answers

Answer:

-1,0,1/2,1.7

Step-by-step explanation:

Answer:

-1, 0, 1/2, 1.7

Step-by-step explanation:

hope this helps

have a good day

How mony boxes does Sharice need?
sharice needs ? boxes ​

Answers

she will need 18 boxes total :)

Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4
steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps. If Liza
takes 120 steps, how many steps does Pete take?

Answers

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

What are a ratio and a proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]

If Liza takes 120 steps, then the number of the step taken by Pete will be

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]

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HELP ME PLEASE. I REALLY NEED THIS

Answers

Answer:

girl good luck I cant even do that.

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume. the two shaded solids both have a height of 2r units. at every level, the areas of the cross sections of both solids equal π(r2 – b2). a cylinder and a sphere are shown. 2 cones are cut out of the cylinder. the cones have a radius of 4. the cylinder has a height of 2 r. the sphere has a radius of 4. the sphere has a height of 2 r. cross-sectional areas are shown on each figure. therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of one cone within the cylinder. the two cones within the cylinder. the solid between the two cones and the cylinder. the cylinder.

Answers

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder

What is the Volume of a Sphere?

This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3

Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.

Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the  two cones and the cylinder

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Answer: B

Step-by-step explanation: just did it

In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.

A. 38º
B. 95º
C. 44º
D. 25º

Answers

Answer:

  B.  95°

Step-by-step explanation:

Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.

__

  j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle

  J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J

  J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)

  J ≈ 94.797° ≈ 95°

The measure of angle J is about 95°.
_____

Additional comment

Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)

Find the lateral area for the prism.

36 in 2
54 in 2
27 in 2
81 in 2

Answers

Answer 27 in^2:

Step-by-step explanation:

An isosceles triangle has an angle that measures 58°. What measures are possible for the other two angles? Choose all that apply.

Answers

Answer:

it's probably 58 and 64 just a random guess but I think all triangles add up to 180

A television game show has 12 ​doors, of which the contestant must pick 2. Behind 3 of the doors are expensive​ cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.

Answers

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

[tex]\blue{———hope it helps———}[/tex]

[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi​

Answers

Volume of cylinder is pi [tex]r^{2}[/tex] h

So now volume = pi(4)^2(6) = 96 pi cm^2
given:

height= 6 cm

radius= 4 cm

to find:

the volume of the given cylinder.

solution:

[tex]v = \pi {r}^{2} h[/tex]

[tex]in \: terms \: of\pi = {r}^{2} h[/tex]

[tex]v = {4}^{2} \times 6[/tex]

[tex]v = 96\pi \: {cm}^{3} [/tex]

Which equation describes the line with a slope of -3 that contains the point (2,4)?

Answers

Answer: y = 2x - 11

Step-by-step explanation:

A linear equation has the following form.

y = a . x + b

where,

y: independent variable

a: slope

x: independent variable

b: y-intercept

The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.

y = a . x + b

-3 = 2 . 4 + b

b = -11

The linear equation is

y = 2x - 11

Answer:

C. is the correct option

Step-by-step explanation:

When we find the equation using the point and slope formula, we get y=-3x+10

As you can see, that doesn't match any of the answers, since it is in the point-slope formula.

We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.

For this equation, we will distribute the 3, and then add 4 to both sides.

y-4=-3(x-2) --->  y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10

This leads back to the original equation so we know it is correct.

Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.

Answers

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

How to calculate the tax?

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

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PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).

Options:

A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13

Answers

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?

Answers

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

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Drag the numbers into the boxes to write the number in standard form. Numbers may be used once, more than once, or not at all.

4
×
10
)
+
(
3
×
1
100
)
+
(
5
×
1
1000
)
01345

.

Answers

The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

What is standard form?

A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.

Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

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Find the perimeter and area of the following

Answers

16. PM = 26x + 8x^2y

A = 52x^3y

17. Area = 33a^5b

Solve for the variable and give an exact answer.

Answers

Answer:

4√ 2

Step-by-step explanation:

2x^2=64 and  x^2 = 32 so x= 4√ 2

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