A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the front face of the cube has a diameter of 4 feet. The volume of this figure is​

Answer:

a) 2/10

b) 15

c) 30

Step-by-step explanation:

Ratio: 2:3:5 = R:B:Y

If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.

If the ratio for R = 2, then the fraction is 2/10 (simplified)

If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.

Now, to find the total amount, we can add 6, 9, and 15 together to get 30.

Hope this helps. If you require further explanation, let me know!

- profparis

Answer:

72 cm³

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

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

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]

Two-thirds cannot be simplified, so that will be your final answer.

Answer:

16a^2 - 9b^6

Step-by-step explanation:

16a^2 - 9b^6   ---> 16a² is the square of 4a; 9b^6 is the square of 3b³

This is the difference of 2 squares

4g - 16h --->  4g and 16h are not perfect squares.

25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares  

2x^2 - 4y^2 ---> 2x² is not a perfect square

Answer: 16a^2 - 9b^6

Answer:

A and B and C

Step-by-step explanation:

D and E are both resulting in answers that are not 2 and 1/2

The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.

Answer:

adult tickets =14

child tickets =71

Step-by-step explanation:

x is adult tickets

y is child tickets

x+y=85

10x+5y=495

y=85-x

2x+y=99

2x+（85-x）=99

x=99-85=14

y=85-x=85-14=71

Answer:

B.

Step-by-step explanation:

Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.

Answer: B.

I think the answer is B because here's the explenation.

Step-by-step explanation:

[tex]s = 20km \\ t = 30min[/tex]

[tex]v = \frac{s}{t} \\ v = \frac{2}{3} [/tex]

[tex]v = 0.67[/tex]

[tex]v = 0[/tex]

Answer:

volume = 10 x 8 x 6 = 480

Step-by-step explanation:

that’s the volume equation length x width x height

Answer:

5 feet long and 1 foot wide, and vise versa.

Step-by-step explanation:

First of all, we can make pairs.

Then just look at what I do

(6, 0)       <= This can't be possible

(5, 1)       <= This is the largest

(4, 2)       <= This isn't the largest

(3, 3)       <= This isn't the largest

(2, 4)       <= This isn't the largest

(1, 5)       <= This is the largest

(0, 6)       <= This can't be possible

The ones labled "This is the largest" are the correct ones

The solution of the system of equations:

( -16.7, 19.28)

Here we have the system:

4x+3y=9

3x +4y = 36

First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:

x = 36/3 - (4/3)y = 9 - (4/3)y

Now we can replace this in the other equation:

4*(9 - (4/3)y) + 3y = 9

36 - (16/3)y + (9/3)y = 9

- (7/3)y = -36 - 9 = -45

y = (3/7)*45 = 19.28

To get the value of x, we get:

x = 9 - (4/3)*19.28 = -16.7

Then the solution of the system is ( -16.7, 19.28)

If you want to learn about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

b. d > 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

First, you have to subtract by 4 from both sides.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Step-by-step explanation:

Given graph

Changes

Solving

Shifted up by 2 units

Vertically compressed by factor of 0.4

Answer:

Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.

Step-by-step explanation:

Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.

[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.

To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]

A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.

Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.

[tex]3^2 + 5^2 = 9 + 25[/tex]

Now we add the two and find the square root.

[tex]9+25=34\\\sqrt{34} =5.83[/tex]

Your answer is 5.83

Answer: A

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\frac{100}{5} =20[/tex] [tex]per[/tex] [tex]minute[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function

[tex]y=f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x)=24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y=f(x)=20x,[/tex] ∀[tex]x[/tex] ∈ [tex]Z[/tex][tex]\geq_0[/tex]

[tex]y:[/tex] [tex]number[/tex] [tex]of[/tex] [tex]suburis[/tex]

[tex]x:[/tex] [tex]time[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y=f(12)=20*12=240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Answer: 1

Step-by-step explanation: Circumference is 2 x 3.14 × radius

6.28 = 6.28 × radius

Radius is 1

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

Check the picture below.

The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

Learn more about time here: https://brainly.com/question/4931057

Answer:

A(should the military adopt the new weapon system called "Skynet?"

Step-by-step explanation:

Answer: 4/10 chance or 40%

Step-by-step explanation: Vegetables- 4 Others- 6

Answer:

956 glass tables would be left.

Step-by-step explanation:

Well, if each person bought a single table and since it would be impossible for all of them to by more than 1 or to buy an amount between 2 and 1, we can find the answer by subtracting 5472 from 6428.

6428 - 5472 is equal to 956.

Answer:

0.8

Step-by-step explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Answer:

Step-by-step explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]

Step 2 : Subtracting 4.8 on both sides :

[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]

On further calculations :

[tex] \longmapsto \:2x = 1.6[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]

Step 4 : Cancelling 16 by 2 :

[tex] \longmapsto \:x = \frac{8}{10} [/tex]

[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

Therefore, our value for x is correct .

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]

Check the picture below.

7013/10

Step-by-step explanation:

first, count the decimal to the right

as you can tell, we can only do it once so therefore we get 10

we then multiply 701.3/1 both sides with 10

then we get out answer 7013/10