3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 ​ start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 ​ start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27 ​

Answer:

Step-by-step explanation:

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Answer:

x=8

Step-by-step explanation:

Those angles are supplementary so:

140+5x=180

5x=40

x=8

Answer:

Step-by-step explanation:

[tex]\frac{-3}{5}*17\frac{5}{6}=\frac{-3}{5}*\frac{107}{6}\\\\=\frac{-1*107}{5*2}\\\\=\frac{-107}{10}\\\\=-10\frac{7}{10}[/tex]

Answer:

-9

Step-by-step explanation:

don't have one

Answer:

6.61387 stones

Step-by-step explanation:

Answer:

6.6 stones

Step-by-step explanation:

1 kg= 2.2 pounds

1 stone =14 pounds ⇒ 1 pound= 1/14 stone

42 kg= 42*2.2 pounds= 92.4 pounds  

92.4 pounds = 92.4 * 1/14 stone= 6.6 stones

Answer:

centre: (0, 0)

radius: 3√5 ≈ 6.71

Step-by-step explanation:

The equation of a circle is denoted by:

[tex](x-x_1)^2 +(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius

Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).

We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.

Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.

~ an aesthetics lover

Answer:

area of trapezoid= 1/2 × ( a + b ) × high

75cm² = 1/2 × (8+17) × h

75. = 1/2 × 25 × h

75. = 12,5 × h

75. = 12,5h

h = 75 ÷ 12,5

h. = 6 ( B )

Answer:

Step-by-step explanation:

Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...

  x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets

  x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels

  y ≥ 300 . . . . . . . . .  Fort Wayne needs at least 300 bushels

Answer:  x + y = 1000   This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )

x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels

y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels

Step-by-step explanation:

The distribution could be anything within the darkest shaded area in the attached graph.

For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.

Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left

Answer:

The interquartile range of the players' weights = 48 pounds.

Step-by-step explanation:

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

Hope this Helps!!!

Answer: Associative Property: (40+(12+18)+27. Evaluate: 97

Answer:

(D)250 ft

Step-by-step explanation:

Circumference of Circle O [tex]= 250\pi ft[/tex]

For a circle of diameter d, Circumference = [tex]\pi d[/tex]

Therefore:

[tex]\pi d = 250 \pi\\d \approx 250$ ft[/tex]

The approximate length of the diameter, d is 250 ft.

The correct option is D.

Answer:

  H.  48

Step-by-step explanation:

Let p represent the number of coins Pamela has. Then 3p is the number Samantha has. After 6 days of adding coins, we have ...

  2(p +3·6) = 3p +2·6

  2p +36 = 3p +12

  24 = p . . . . Pamela has 24 coins; Samantha has 72.

Now, we can find the number of days (d) before the coin count is the same.

  24 +3d = 72 +2d . . . . coin counts are the same after d days

  d = 48 . . . . . subtract 24+2d

In 48 days from now, Pamela and Samantha will have the same number of coins.

Answer:

B.  y ≤ 1/2x + 3

Step-by-step explanation:

Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.

And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,

So we can cross out answer choices C. and D.

And the slope is 1/2 because that’s how far away each points are from each other.

So the inequality is y ≤ 1/2x + 3

Look at the image below.

Answer:

1.2x10^13

Step-by-step explanation:

Trillion=1x10^12

12 trillion=12x10^12

12 trillion=1.2x10^13

Answer:

The sum of the polynomials in the equation is 3x² - 2x - 3

Step-by-step explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3

Answer:

3x^2 -2x -3

Step-by-step explanation:

Combine like terms

3-4x+8x^2-6+2x-5x^2

Put the numbers that are squared in the front

8x^2 -5x^2 =3x^2

Put the numbers with x only next

-4x + 2x= -2x

Then the normal numbers

3-6=-3

Put them together in simplified form of the equation

Thus your answer is 3x^2 - 2x -3

Hope this helps please mark brainliest!

Answer:

  [tex]\dfrac{2xy+x}{3y+2}[/tex]

Step-by-step explanation:

Factor numerator and denominator and cancel common factors.

  [tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]

Answer:

Total number of side of regular polygon = 36

Step-by-step explanation:

Given:

Angle of rotation (regular polygon) = 10°

Find:

Total number of side of regular polygon

Computation:

Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)

Total number of side of regular polygon = 360° / 10°

Total number of side of regular polygon = 36

Answer:

[tex]\boxed{105}[/tex]

Step-by-step explanation:

∠DAB = ∠BAC = 105 degrees

This is because opposite angles of a parallelogram are congruent.

Answer:

105

Step-by-step explanation:

∠DAB = ∠BAC = 105

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

Well for the activity we can do a game.

In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.

We can make the following inequality,

2x + 50 ≥ 100

So to find x we single it out,

2x + 50 ≥ 100

-50 to both sides

2x ≥ 50

Divide 2 by both sides

x ≥ 25

For the number line look at the image below ↓

The solution in the number line is the number of monsters killed in order to level up.

Hope this helps :)

Answer:

x = -3 ± 2√2

Step-by-step explanation:

x² + 6x + 1 = 0

Let's solve by completing the square.

Add -1 and 9 on both sides.

x² + 6x + 9 = 8

Factor left side.

(x + 3)² = 8

Take square root on both sides.

x + 3 = ±√8

Add -3 to both sides.

x = -3 ± 2√2

Answer: 18 animals

Step-by-step explanation:

3 out of 20 pet owners get their pet from a breeder.

To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.

3/20 = 0.15

122 * 0.15 = 18.3

18.3 rounds down to 18

There are 18 animals who have been bought from a breeder.

Answer:

53

Step-by-step explanation:

We know the first term and common difference so we can write the explicit formula. The formula is:

aₙ = a₁ + (n - 1)d

aₙ = 8 + (n - 1) * 3

aₙ = 3n + 5

This means that a₁₆ = 3 * 16 + 5 = 53

by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,

A16=A1 + (n-1) d

A16=8 + (16-1) (3)

A16 = 53

I hope I helped! Be safe!

Answer:

y = -2

Step-by-step explanation:

Put x as -19 and solve for y.

2(-19) - 5y = -28

Multiply.

-38 - 5y = -28

Add 38 on both sides of the equation.

-5y = -28 + 38

-5y = 10

Divide both sides by -5.

y = 10/-5

y = -2

Answer:

2x - 5y = -28

when x = - 19

Substitute the value of x into the equation

That's

2(-19) - 5y = -28

-38 - 5y = -28

-5y = -28 + 38

-5y = 10

Divide both sides by - 5

We get

y = 10/-5

y = -2

Hope this helps

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Answer:

29/45 ≈ 0.644

Step-by-step explanation:

There are 450 students in total

110-60=50 students are only in the choir

240-60=180 students are only in the band

60 students are in both

160 students are neither in the band nor in the choir

So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644

Answer:

It's (B)

Step-by-step explanation:

Answer:35 cars in 7 hours.

Step-by-step explanation:15/3=5 per hour. 5x7=35.

Answer:

35 cars in 7 hrs

Step-by-step explanation:

Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.

In 7 hrs he can wash

5 cars

---------- * 7 hrs = 35 cars in 7 hrs

   hr