A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.

Answers

Answer 1

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero


Related Questions

ayo can yall help me plzzz

Answers

Answer:

D, Impossible

Step-by-step explanation:

Answer:impossible

Step-by-step explanation:

there aren’t any green folders

below are two parallel lines with a third line intersecting them.​

Answers

Answer:

x = 136

Step-by-step explanation:

x and 44 are supplementary angles which mean they add up to 180:

x + 44 = 180

x = 180 - 44

x = 136

The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.



About how long will it take Ramon to read the entire novel if he continues to read at his current rate? ROUND TO THE NEAREST WHOLE NUMBER.

Answers

Answer:

17 hours

Step-by-step explanation:

so first since there are 520 pages we divide it by 124 pages we get 4.19

4.19x4 = 16.77

Rounded is 17

Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)

Answers

Answer:

the answer is 7(4 +6)

Step-by-step explanation:

24 + 42

7(4 + 6)

which sequence has nth term 2n+5

a)7,21,35,
b)7,9,11,13
c)1,4,9,16

Answers

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

A spinner with two equal sectors is spun 5 times.

What is the number of possible outcomes?

Answer: 32
Explanation: 2^5

Answers

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?

Answers

1/2 gray and 1/5 and the other one is a pretty good probability for the color

Answer:

[tex]\frac{5}{78}[/tex]

Step-by-step explanation:

First, find the probability that the first card is gray.

Since there are 13 cards in total, and 2 are gray, the probability will be 2/13

Next, find the probability that the second card is pink.

Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.

Now, to find the probability that these are drawn in order, multiply the probabilities together:

[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]

= [tex]\frac{5}{78}[/tex]

So, the probability is [tex]\frac{5}{78}[/tex]

can someone help me?

Answers

Answer:

You would have 4 nickels and 10 dimes.

4 x 0.05 = 0.20
10 x 0.10 = 100 ($1.00)
$1.00+$0.20=$1.20

Answer: She has 6 nickles and 9 dimes.

Step-by-step explanation:

Let n be the # of nickles. Let d be the # of dimes.

n+d=15

0.05n + 0.1d =1.2

5n+10d=120

5(15-d)+10d=120

75-5d+10d=120

5d=45

d=9

n=15-d

n=15-9

n=6

Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean

Answers

I think the answer is C

What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0



O
С
D

Answers

Answer:

c) 32.5

Step-by-step explanation:

the formula for the mean of a data set is-

average= sum/count

14+54+54+35+25+34+21+23=260

so now we have our sum- 260

for the count, we just have to count how many numbers there are-

8

average= sum/count

=260/8

=32.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

PLEASE HELP MEEEEEEE!!!!

Answers

The median is the middle number in a sorted, ascending or descending.

I believe that the answer is A.

I hope this helps!

2,2,4,5,5,6,6,8
Median is 5

If 10 is added
2,2,4,5,5,6,6,8,10
Median is 5

Answer:a

plsss help lollll :)))

Answers

Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists

Answers

Answer:

the answer is 0 or a

Plz help me giving branliest. I need help with both

Answers

Answer:

The first one is 30

The second one is 20

Step-by-step explanation:

30 and 20 the answers..

Someone please Help!!!!!

Answers

Answer:

I believe that the slant height is 15.3 because of pythagorean theorem.

This means that the surface area is 740.2

Step-by-step explanation:

A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?

Answers

Answer:

There are 24 squares in the entire rectangle

Step-by-step explanation:

Trom the problem, we are given that one row covers 1/8 of the entire rectangle.

We are also told that this one row, contains three squares.

In other words, what this means is that three squares cover 1/8 of the entire rectangle.

The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.

In fraction, we can represent a whole using 1/1

We can set up a simple relation to this effect.

3 squares give 1/8 of the rectangle

x squares give 1/1 of the rectangle

cross multiplying, we have

x = 3 ÷(1/8) = 24

Therefore, there are 24 squares in the entire rectangle

do the step by step process thank u soooooo much

Answers

Answer:

Surface area: 199.27 cm

Volume: 129.8 cm³

Step-by-step explanation:

Isla wants to solve the equation 2.5x – 1.75 = 5(7 – 0.5x).

She uses a graphing program to graph the equations y = 2.5x – 1.75 and y = 5(7 – 0.5x).

Use the graph to find the solution of 2.5x – 1.75 = 5(7 – 0.5x).

Answers

Answer:

7.35

Step-by-step explanation:

If you solve the equation

2.5– 1.75 = 5(7 – 0.5)

Then...

x=7.35

Answer:

7.35

Step-by-step explanation:

if a/b=2 what would 4b/a be

Answers

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

The dimensions of a rectangular piece of paper are 10.5 inches and 10 inches Ben Folds a piece of paper along its diagonal find the length of the diagonal in inches

Answers

Answer:

14.5

Step-by-step explanation:

Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)

Answers

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33

Answers

i hope this can help you

Answer:

y = 3

Step-by-step explanation:

     3x + 5y = 33       ---------------(I)

     3x + 4y = 30       ----------------(II)  {subtract  equation (II) from (I)}

    -     -       = -

             1y = 3

y = 3

Jackson earns $17 per hour tutoring students in math. Which equation and solution shows how many hours he has to work to earn $476?

Answers

Answer:

476 ÷ 17 = 28

Step-by-step explanation:

$17 an hour is multiplication. so, just do the opposite.

476 ÷ 17.

~R3V0

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?​

Answers

Answer:

7minutes

Step-by-step explanation:

so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7

19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?

Answers

Answer:

First we have the function f(x) = 27*x  - 67.5

It has an x-intercept at (a, 0)

This means that:

f(a) = 0 = 27*a - 67.5

Solving the above equation we can find the value of a.

0 = 27*a - 67.5

67.5 = 27*a

67.5/27 = a = 2.5

Now let's look at equation g(x).

It is a linear equation, remember that a linear equation can be written as:

g(x) = y = A*x + B

Where:

A is the slope, and B is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:

A = (y₂ - y₁)/(x₂ - x₁)

In this case we can select any two points from the table, for example, I will use the second and third points:

(1, 39) and (2, 32.5)

Then the slope is:

A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5

Then the equation is something like:

g(x) = y = -6.5*x + B

B is the y-intercept, to find this value, we can use one of the two points we used before.

For example, (1, 39) means that g(1) = 39

Then:

g(1) = -6.5*1 + B = 39

     = B = 39 + 6.5 = 45.5

Then the equation for g(x) is:

g(x) = -6.5*x + 45.5

Now, we know that g(x) has an x-intercept at (b, 0)

this means that:

g(b) = 0 = -6.5*b + 45.5

6.5*b = 45.5

b = 45.5/6.5 = 7

Then the difference between b and a is:

b - a = 7 - 2.5 = 4.5

b is equal to a plus 4.5

And the ratio is:

b/a = 7/2.5 = 2.8

b is 2,8 times larger than a.

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in
slope-intercept form?

Answers

Answer:

y=1/4x

Step-by-step explanation:

y=mx+b

m=1/4

so, y=1/4x+b

Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).

So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.

y=1/4x+0

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00

Answers

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

What is the radius when the circumference is 314

Answers

Answer:

Radius is 50 cm.

Step-by-step explanation:

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