MATHEMATICS MIDDLE SCHOOL

A graduated cylinder with a radius of 3 cm contains water to a height of 9 cm. Yann adds 15 steel balls, each with a diameter of 3 cm. What is the total volume of the contents in the cylinder after the balls are added? Use 3.14 to approximate pi and express your answer in hundredths.

Answers

Answer 1
Answer: find volume
Vcylinder=hpir^2

volume of cylinder=(4/3)pir^3


water to height of 9
radis i3
V=9*pi*3^3
V=81pi

the balls
15 of them
diameter/2=radius
3/2=1.5
radous=1.5
15V=15(4/3)(pi)(1.5^3)
15V=20pi(3.375)
15V=67.5pi


addd tehm

81pi+67.5pi=148.5pi
aprox pi=3.14
148.5*3.14=466.29 cm^3

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A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?

Answers

C= 2(pi)r... 2(3.14)(40)= 251.2 was this the answer you were looking for?

Which relationship describes angles 1 and 2?1.supplementary angles
2.supplementary angles
3.vertical angles
4.complementary angles

Answers

Answer:

Step-by-step explanation:

Supplementary angles is when either of two angles whose sum is 180°.  Vertical angles are straight up. Complementary angles are either of two angles whose sum is 90°.  therefore 1 and 2 are complementary.

Cards numbered 1 through 30 are placed in a bag and shuffled. One card is chosen at random. What is the probability of randomly selecting a number less than or equal to 5, or a multiple of 7?A.1/15

B.3/10

C.2/15

D.1/30

Answers

B. 3/10 I believe, to find it you just count all of the numbers: 1,2,3,4,5,7,14,21,28
there are 9 numbers so 9/30 = .3

Hope this is right :)
B is the answer because of the probability of the numbers

Which shows a correct plan Chuck can use to solve this problem? Chuck brushed his teeth 3 times a day for 4 days. Each time he brushed he spent 30 seconds. He used mint toothpaste for 2 of the days. How many times did Chuck use mint toothpaste?

Answers

Chuck used mint tooth paste 6 times because 4x3 eaquals 12 and 12divided by two is 6 .
The answer is 6 times, because it said he used mint toothpaste for two of the days, and 4 divided by 2 equals 2, and you do the same to the 12 because you did 3 times 4 in the beginning, so you do divided by 2, which equals 6. So to find to the seconds, you do 6 times 30, which equals your seconds, which equals 180 seconds. To find the times he used the toothpaste, you just do 12 divided by 2, which equals 6, so now you know that he used the mint toothpaste six times. 

Answers
Seconds: 180 seconds
Times he used the mint toothpaste: 6 times.

Hope it works!!!

Plllzzz urgent urgent!!!!! 2 to 10 plzzz

Answers

53 yes no 68 96 54 38 68 45 49
To find the mean of a data set all you need to do is add up the numbers in the data set and divide by the number of numbers in the data set. So if the data set is (2,4,6,8,10,12) then you would do 2+4+6+8+10+12=42, then divide by the amount of numbers in that set, in this case the number is 6. So divide 42 by 6 and you get 7, so the mean equals 7. 

In your case they try to make it more difficult by excluding certain numbers,  what you have to do is make sure you keep track of the numbers you exclude. 

1.) Find the mean of the data set excluding numbers ending with 0 between 1-20.
Those numbers are: 1, 2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19.
Remember that you left out 2 numbers, 10 and 20. 
Add you data set together to get 180. Now you need to divide 180 by the amount of numbers, remember there are 2 less numbers than 20 so that is 18, 180 divided by 18 is 10.

2.) You will do the same thing for every problem, I will walk you through this one and do a few more but the rest is up to you. This question asks you to: find the mean of the data set excluding numbers with the last digit 2 between 1-10. List all of the numbers not ending in 2 between 1-10: 1,3,4,5,6,7,8,9,10. Add all of those numbers together: 53. Divide 53 by the amount of numbers in the data set, in this case, 9. 53 divided by 9 is 5.888888888888889 or 5.89.

3.) This question asks you: find the mean of the data set excluding numbers with last digit 5 between 1-20. In this case you will be excluding 5 and 15, that is 2 numbers. Add up: 1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20. You will get: 190, divide that by 18 to get: 10.55555555555556 or 10.56.

4.) This question asks you: find the mean of the data set using numbers between 1-20. So add up: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20. You will get: 210. Divide 210 by the total number of numbers which is 20, the answer is: 10.5.

5.) This question asks you: find the mean of the data set excluding numbers ending with the last digit 1 between 1-10. So add up the numbers between 1 and 10, excluding 1 and 10: 2,3,4,5,6,7,8,9 to get: 44. since you took out 2 numbers divide by 8, 44 divided by 8 is 5.5.

I hope this helped, if you need any further help, just ask. :) 

Janet is buying a $28 necklace. The store reduces the price by 20% and then applies a $2 off coupon. How much will Janet pay for the necklace? Could you show the work please? I would really appreciate it.

Answers

Original cost of the necklace = $28
Percentage by which the store reduces the price of the necklace = 20%
Amount of discount given
by the store on the necklace = (20/100) * 28
                                               = 28/5 dollars
                                               = 5.6 dollars
So
The price of the necklace after discount = (28 - 5.6) dollars
                                                                 = 22.4 dollars
Amount of discount on coupon = $2
Then
Price of the necklace after deducting coupon discount = (22.4 - 2) dollars
                                                                                        = 20.4 dollars
So Janet will pay 20.4 dollars for the necklace.    
make two im so sorry i would show you on paper hard to do it on here i will try
2      2o
---=---
28   100

then you need to cross multiply
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