A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give your answer in terms of n.​

Answer:

Bag B which is $150 for one orange

Step-by-step explanation:

In ,bag A 12 oranges cost 2400

The price of one orange in bag A is

= 2400/12

= $200

In bag B 20 oranges cost $3000

The cost of one orange in bag B is

= 3000/20

= $150

Hence the better buy is bag B which goes for $150 for one orange

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer:

I would say yes. Now I'm not in your type of school grading system, but if you try to get as many 90s and 100s in your homework for the next week, you would probably get there.  

Step-by-step explanation:

Good luck! I know you will do great.

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

Answer:

Equation: y = 5x - 2

Step-by-step explanation:

Slope = Change in y / Change in x

Change in y = +5

Change in x = +1

Slope = 5/1 or 5

Y-intercept = y-value where x = 0

x = 0, y = 3-5

y = -2

y-intercept = -2

Finally;

Equation: y = 5x - 2

Hope this helps!

Answer:

y = 5x - 2

Step-by-step explanation:

(1,3) (2,8)

y2 - y1 / x2 - x1

8 - 3 / 2 - 1

5

y = 5x + b

3 = 5(1) + b

3 = 5 + b

-2 = b

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer:

coefficient*

Your coefficients are 4 and 9

Why?

Because the number attached to the variable will always be your coefficient.

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

Answer- √ 26

Explanation:

Use the distance formula:  

√ ( y 2 − y 1 )²  +  ( x 2 − x 1 ) ²

Plug in your values:

√ ( − 5−   ( − 4 )  )²  +  ( 2 −  ( − 3 ) )²

Simplify:

√ ( − 1 )²  +  ( 5 )²

Simplify:  

√ 1 + 25

Simplify:

√ 26

-----------------------------------------------------

Anyways bye!

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer:

82 Cups

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

LOCO LOOOCOOOO LOCO LOOOOCOOO

Answer:

The answer is "H [93%, 100%]"

Step-by-step explanation:

I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.

This is a surprisingly useful question hah, I'll bet many will need to do this.

This question is just finding the average. Pretty simple.

y = 86 + 82 + 91 + 98 + x / 5

y = 357 + x / 5

An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.

y = 357 + (87) / 5

y = 444 / 5

y = 88.8

Okay, so the answer isn't G. Then let's try H.

y = 357 + (93) / 5

y = 450 / 5

y = 90

Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".

Answer:

12.56637

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360}) \\Arc lenght = 2\pi 6(\frac{120}{360} )[/tex]

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

Length will be 173

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25

Step-by-step explanation:

2y=a

y=a/2

putting value of y

y=3x+12

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

x = number of hours = 8 hours

Step-by-step explanation:

Let

x = number of hours

There are 3 people who rented bicycle from each shop

Ace bicycle shop:

Total cost = 3(4 + x)

= 12 + 3x

Best bicycle shop:

Total cost = 3(8 + 0.50x)

= 24 + 1.5x

Equate both equations and solve

12 + 3x = 24 + 1.5x

12 - 24 = 1.5x - 3x

-12 = -1.5x

x = -12/-1.5

x = 8 hours

x = number of hours = 8 hours

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.