MATHEMATICS MIDDLE SCHOOL

Archie rolls two number cubes, each with sides numbered 1 through 6. He finds the sum of the numbers on the tops of the cubes. Whaf two sums have the probability?A. 3 and 4
B. 5 and 9
C. 5 and 8
D. 10 and 12

Answers

Answer 1
Answer: \Omega=\{(x;y):x;y\in\{1;\ 2;\ 3;\ 4;\ 5;\ 6\}\}\n\n\overline{\overline{\Omega}}=6^2=36\n\nA=\{(1;2);\ (2;1);\ (1;3);\ (3;1);\ (2;\ 2)\};\ \overline{\overline{A}}=5;\ P(A)=(5)/(36)\n\nB=\{(1;4);\ (4;1);\ (2;3);\ (3;2);\ (3;6);\ (6;3);\ (4;5);\ (5;4)\};\n\overline{\overline{B}}=8;\ P(B)=(8)/(36)\n\nC=\{(1;4);\ (4;1);\ (2;3);\ (3;2);\ (2;6);\ (6;2);\ (3;5);\ (5;3);\ (4;4)\}\n\overline{\overline{C}}=9;\ P(C)=(9)/(36)

D=\{(4;6);\ (4;6);\ (5;5);\ (6;6)\};\ \overline{\overline{D}}=4;\ P(D)=(4)/(36)



A.\n3\to(1;2);\ (2;1)\to(2)/(36)\n4\to(1;3);\ (3;1);\ (2;2)\to(3)/(36)\n\nB.\n5\to(1;4);\ (4;1);\ (2;3);\ (3;2)\to(4)/(36)\n9\to(3;6);\ (6;3);\ (4;5);\ (5;4)\to(4)/(36)

C.\n5\to(1;4);\ (4;1);\ (2;3);\ (3;2)\to(4)/(36)\n8\to(2;6);\ (6;2);\ (3;5);\ (5;3);\ (4;4)\to(5)/(36)\n\nD.\n10\to(4;6);\ (6;4);\ (5;5)\to(3)/(36)\n12\to(6;6)\to(1)/(36)
Answer 2
Answer: The same probability*

Write firstly what results it's able to get and their sum:
.....1....2.....3.....4....5.....6
1   2    3      4    5    6     7
2   3    4      5    6    7     8
3   4    5      6    7    8      9
4   5    6      7    8    9    10
5   6    7      8    9    10  11
6  7    8      9    10    11  12

As you can see there are four options to get "5" and also four options to get "9".
So the B is proper answer.
Sum 5 and sum 9 have the same probability.

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The quotient of a number and 3, less 8, is 16. What is the number?

sonya can walk 12 kilometers in 4 hours. If she has to walk 15 kilometers, how much time will it take her?

Answers

First, We Should Find The Unit Rate...
12 kilometers
------------------
    4 hours
We Need To Simplify. 12/4 Can Be Simplified To 3/1. So, 3 kilometers/1 hour is the unit rate. Now, We Need To Change It To 15/X. 
15       3
----  = ----
 X        1
Solve For X. To Solve, Multiply Means And Extremes. The Equation Becomes: 
3X = 15*1.
Simplify.
3x = 15.
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X = 15/3.
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Pls help will give brainliest and 5 star

Answers

Answer:

The answers are as follows:

5. c

6. b

7. not sure, sorry

8. b

Step-by-step explanation:

192 rounded to nearest tenth?

Answers

There is no TENTH in 192 so 192 rounded to the nearest TENTH is 192.


If you meant TEN then 192 rounded to the nearest TEN is 190.

Good Luck!

The next larger tenth is 192.1

The next smaller tenth is 191.9

But 192 is closer to 192 than it is to 192.1 or 191.9, so 192 is ALREADY rounded to the nearest tenth.  

9.The expression x(x+4)-4(x+4) is equivalent to each of the following EXCEPT which choice?
(1) x²-16
(2) (x+4)(x-4)
(3) x(x-4) +4(x-4)
(4) x²-8

Answers

Process of elimination can easily help you here. The fact that choice 1 and four have the same beginning term but different ending term shows that one of these are the correct answer. Solve normally and the answer will be which is not the answer

You can distribute both to have a better visual. x^2+4x-4x-16. Next add like terms and you’ll end up with x^2-16, therefore choice one can be eliminated. Choice 4 is the correct answer.

Which formula could be used to find the volume of a cube with side length equal to s?

Answers

s^3 formula could be used to find the volume of. cube with side length equal to s.

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B. 1h/60 min
C. 60 min/ 1h
D. 3ft/ 1yd

Answers

A. Check to make sure the conversion factor units will cancel out the original units and leave the desired units
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