There are 20 angelfish in a pet store. The fish are placed
into 5 tanks with the same number of fish in each tank.
How many fish are in each tank?

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

The possible shapes of the base are a square and a rectangular base.

The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.

Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as

120=l×b×8

l×b = 15

Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)

Hence, The possible shapes of the base are a square and a rectangular base.

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Answer: 3.14 x 12^2 = 452.16

Answer:

ok. Where is the Question

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

Translations are a kind of rigid transformation. A transformation is rigid if and only if Euclidean distances are conserved. By linear algebra, an image as a consequence of consecutive translations is described by the following formula:

[tex]P' (x,y) = P(x,y) + \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

Where:

Now we proceed to determine the image of the given point:

P'(x, y) = (-3, 4) + (7, -6) + (-1, 3)

P'(x, y) = (-3 + 7 - 1, 4 - 6 + 3)

P'(x, y) = (3, 1)

By applying concepts of linear algebra, the point P'(x, y) = (-3, 4) represents the translation of P(x, y) = (-3, 4) along the vectors <7, -6> and <-1, 3>.

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Answer:

1256 cubic inches

Step-by-step explanation:

Volume of all 200 candles = volume of one mold × 200

Finding the volume of one mold:

We are given that the molds are in the shapes of cones and have a height of 6 inches as well as a diameter of 2 inches.

The volume of a cone can be calculated using the formula

V = πr²(h/3) where r = radius and h = height

Converting the diameter to radius

The volume of a cone formula requires the radius however we are only given the diameter. However we know that the radius is equal to half of the diameter or radius = diameter / 2

So if diameter = 2 then radius = 2 / 2 = 1 so r = 1

Plugging in the given values into the formula

V = πr²(h/3)

==> plug in r = 1 and h = 6 and π = 3.14 approximately

V = (3.14)1²(6/3)

==> simplify exponent

V = 3.14(1)(6/3)

==> divide 6 by 3

V = 3.14(2)

==> multiply 3.14 by 2

V = 6.28

Finding the volume of the 200 candles.

So we have calculated that the volume of one candle is about 6.28in³ and we want to find the volume of 200 of those candles.

To do so we simply multiply the volume of one of those candles by 200

So volume of 200 candles = 200 × 6.28 = 1256 cubic inches

Answer:

C

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

the answer is c :) lol it's the correct one I think

Answer:

The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be

Step-by-step explanation:

If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.

Hope this helps <3

Answer:

[tex]2\pi[/tex]

That's it

Answer:

Surface Area: 5440

Step-by-step explanation:

Volume: 25600

Surface Area: 5440

Work Volume

V = lwh

V = (32)(40)(20)

V = 25600

Work Surface Area

A = 2(wh + lw + lh)

A = 2( 40(20) + 32(40) + 32(20) )

A = 2(800 + 1280 + 640)

A = 2(2720)

A = 5440

The diagonal : 54.99

The number that still remains under the radical when the expression is in its simplest form is 8.

A radical refers to a root  form. In this case, we can write this number as; 1,250^3/4.

If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.

Thus, the number that still remains under the radical when the expression is in its simplest form is 8.

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Answer:

.9417 ft/min

Step-by-step explanation:

Sphere volume = 4/3 pi r^3

dv/dr = 4/3 pi * 3 r ^2    = 4 pi r^2

dv/dr  * dr/dt =    dv/dt =  4 pi r^2  dr/dt

                          2.5   = 4 pi (1.3/2)^2 dr/dt      (Diameter is 1.3 , radius is 1.3/2)

                                 dr/dt = .4709  ft/min

  THIS answer is how fast the RADIUS is changing

         the DIAMETER is changeing TWICE this:

                2 x .4709 ft/min = .9417 ft / min     =   diameter/dt

Answer:

$405.

Step-by-step explanation:

That would be 15% of $2700

= 2700 * 0.15

= $405

Answer:

[tex]7 \sqrt{3} [/tex]

Step-by-step explanation:

Simply combine like radicals:

[tex]3 \sqrt{3} + 4 \sqrt{3} = 7 \sqrt{3} [/tex]

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

The number of people who live in the region to the nearest ten thousand will be 942000.

The number of the people live in the given volume is known as the population density.

(r)Region radius= 10 miles

Population density= 1500 per square mile

The area of the region is found as;

A=2πR²

A= 2π(10 x 10)

A=2(3.14) (100)

A= 628 square miles

Population density= Population/Area

1500= Population / 628 square miles

Population = 1500 x 628

Population = 942000

Hence,the number of people who live in the region to the nearest ten thousand will be 942000.

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Answer:

see below

Step-by-step explanation:

Using a 24 HOUR SYSTEM

The total time from Monday to Friday times given

 =  24 x 4   + (18:45 - 4:45) = 96 + 14  = 110 hours

110 hours  *   30/3600  = .91667  hours lost = 55 minutes lost

 watch will show   18:45   - 55 minute = 17:50    ( 5:50 in 12-hour system)

Answer:

x = 5

Step-by-step explanation:

The triangles are similar by AA similarity.

They share a common angle (∠A) and have an angle of 90°.

Since they are similar, we can takes the sides in proportion.

Answer:

x = 10.

Step-by-step explanation:

Triangles ABC and ADE are similar so their corresponding sides are in the same ratio.

So we have:

8/16  =  x / (x + 10)

16x = 8(x + 10)

16x - 8x = 80

8x = 80

x = 10

The special ticket cost to cover the expected value of the refunds would be $2.60

Probability of A winning = 80%

Probability of B winning = 20%

We have to solve for the rebate of the bet.

80% = 0.8, 20% = 0.2

0.8 x 2 = 1.6

0.2 x 5 = 1

The extra minimal cost of the special ticket would be calculated as: 1 + 1.6

= $2.6

Therefore the answer to the question is $2.6

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Answer:

a = 1.4 then b = (1+0.02) and r = 2%

Answer:

Largest: 3

Smallest: 2

Mid-Sized: 1

Step-by-step explanation:

Solution:

As, two set of data are each symmetrical and do not contain outliers.

To find the center , the best way is to find Median of data set.Median of Data set is the mid value of Data that is center of Data.

As, you have to find variability , mean can't measure variability. Mean deviation would have been better option.

So, MAD=Median absolute Deviation , would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.

So, Option (C) median and MAD, would be best way to compare the two given data set.

Answer:

(D. (-oo,0) U (0, oo )

[tex]( \infty 0)(0 \infty )[/tex]

(-oo,0) U (0, oo )

Answer:

x = 26

Step-by-step explanation:

Answer:

26 degrees

Step-by-step explanation:

The small square symbol on the upper left of the line represents a 90-degree angle.

90 - 64 = 26 degrees

The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.

A triangular prism is a solid geometrical shape made of three rectangles and two triangles.

Analysis:

base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches

Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.

for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle  we have

[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]

l = [tex]\sqrt{13}[/tex] = 3.6

Total surface area = 2(1/2bh) + 2(l x b) + L x B

                               = 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.

in conclusion, the amount of plastic needed is 84 inches squared.

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Answer:

Equation: 1.50x + 10 [tex]\leq[/tex] 34

Amount of rides Dan can go on: 16 rides

Step-by-step explanation:

We can represent this situation using this equation:

1.50x + 10 [tex]\leq[/tex] 34

The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.

Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.

Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.

Solve the equation for x to find the greatest amount of rides Dan can go on:

1.50x + 10 [tex]\leq[/tex] 34                      Subtract 10 from 34

1.50x [tex]\leq[/tex] 24                             Divide 24 by 1.50

x [tex]\leq[/tex] 16

So, Dan has enough money to go on 16 rides or less.

Let's check this answer:

1.50(16) + 10 [tex]\leq[/tex] 34                   Multiply 1.50 by 16

24 + 10 [tex]\leq[/tex] 34                           Add 24 and 10

34 [tex]\leq[/tex] 34

Hope this helps! Good luck and if you have any questions let me know in the comments!

Following BODMAS:

Brackets → Order → Division → Multiplication → Addition → Subtraction

Given Expression:

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

[first simplify following inside the brackets]

⇒ 5 × 12 + 20 ÷ 4 × 2

[then divide following]

⇒ 5 × 12 + 5 × 2

[multiply integers]

⇒ 60 + 10

[add integers]

⇒ 70

Answer:

70

Step-by-step explanation:

Solving by BODMAS :

Given :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

Simplifying the brackets :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2

⇒ 5 × (3 × 4) + 20 ÷ 4 × 2

⇒ 5 × 12 + 20 ÷ 4 × 2

Dividing :

⇒ 5 × 12 + 20 ÷ 4 × 2

⇒ 5 × 12 + 5 × 2

Multiplying :

⇒ 5 × 12 + 5 × 2

⇒ 60 + 10

Adding :

⇒ 60 + 10

⇒ 70

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[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

[tex]{ \boxed{✠ \: \underline{ \boxed{ \sf{\: P(A) = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: favourable \: outcomes} }}} \: ✠}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

✛ Here ✛

[tex] \qquad \sf \:➛ \: x = \frac {4 }{20} \\ \qquad \sf \:➛ \: x = \frac { \cancel4 }{ \cancel{20}} \\ \qquad \sf \:➛ \: x = 0.2min[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

★ Hence probabllty that the news and weather report is NOT on P(A)

[tex] \qquad \qquad{ \boxed{✟\: \underline{ \boxed{ \sf{\:0.2min\green ✓ }}} \:✟ }}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Answer:

[tex]x = \pm 2\sqrt3[/tex]

Step-by-step explanation:

Hello!

Let's use the square root property to solve this question

Solve:

The answer is option A: x = ±2√3

Answer:

7 × 10^9 (that 9 is a exponent)

Step-by-step explanation: