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Kipish [7]
2 years ago
15

Use the Counting Principle to find the probability of rolling a 5 on each of 2 number cubes.

Mathematics
1 answer:
stiv31 [10]2 years ago
7 0

Answer:

b

Step-by-step explanation:

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What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

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

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
What is 3x +99 2(8*3)= 135<br> what is x equal to?
Ivenika [448]

Answer: -4

Step-by-step explanation: I am guessing you meant ...99  + 2(8*3)...

3x + 99 + 2(8 x 3) = 135

3x + 99 + 2(24) = 135

3x + 99 +48 = 135

3x + 147 = 135

(3x + 147) - 147 = (135) - 147

3x = -12

(3x) ÷ 3 = (-12) ÷ 3

x = -4

3 0
3 years ago
A. A 5in radius ball is in a
abruzzese [7]

Answer:

52.33%

Step-by-step explanation:

Since, all six sides of the box are touching the ball.

So, all the three dimensions of the box are equal.

Hence, it is a cubical box.

Side length of the box (l)

= diameter of the ball

= 2*radius of the ball

= 2*5

= 10 In.

V_{ball} = \frac{4}{3} \pi r^3

V_{ball} = \frac{4}{3} \times 3.14(5)^3

V_{ball} = \frac{4}{3} \times 3.14\times 125

V_{ball} = \frac{1,570}{3}\: In^3

V_{box} =l^3

V_{box} =(10)^3

V_{box} =1000\: In^3

Percentage of the space in the box occupied by the ball

= \frac{V_{ball}}{V_{box} } \times 100

= \frac{\frac{1,570}{3}}{1000} \times 100

= \frac{1570}{3000} \times 100

= \frac{157}{3}

= 52.33\%

5 0
3 years ago
Lorraine writes the equation shown.
Levart [38]

Answer:

a relation and a function

= A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need to know how to get the roots for example what is the root of 2 root 5
Harrizon [31]

Answer:

Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25

Step-by-step explanation:

5 0
2 years ago
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