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Oksana_A [137]
3 years ago
15

You roll a standard number cube once. Find p (number lass than 7).

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

the probability of getting a number less than 7 when rolling a standard dice is 100%

Step-by-step explanation:

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The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th
damaskus [11]

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

6 0
3 years ago
Write this expression so that its denominator, if any, is a positive integer.<br> 2/(3+sqrt(7))
Tanzania [10]

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7   the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7)  the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2    the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1    the equation after you divide out the 2's

= 3 - sqrt7  is THE ANSWER

7 0
2 years ago
Expand the following expression by using the distributive method.<br> 3(4x + 5y)
Liula [17]
Answer: 12x + 15y

Explanation:
1. 3 x 4x + 3 x 5y
2. 12x + 15y

This expression can not be expanded further because there are no like terms.

Hope this helps :)
8 0
3 years ago
Whats 2+2+2+2+2+2+2+2+2+2
eimsori [14]

Answer:

20

Step-by-step explanation:

there are 10 2s

2×10 =20

7 0
3 years ago
Read 2 more answers
Based on the data shown in the graph, how many boxes can the shipping company pack in an 18-hour period?
inn [45]

Answer:

216 Boxes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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