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3 years ago

-12 - 6p - (-2) simplify

Mathematics

2 answers:

Likurg_2 [28]3 years ago

8 0

Step-by-step explanation:

-10 -6p

FromTheMoon [43]3 years ago

5 0

Answer:

-6p - 10 or -10 - 6p

Step-by-step explanation:

-12 - 6p - (-2)

= -12 - 6p + 2

= -6p - 10 or -10 - 6p

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A pair of fair dice is rolled once. Suppose that you lose $8 if the dice sum to 10 and win $11 if the dice sum to 11 or 12. Ho

KATRIN_1 [288]

First find the possible dices rolls that give you 10, 11, and 12

Gives 10:
5,5
4,6
6,4

Gives 11 or 12:
5,6
6,5
6,6

The dice rolls have 6 * 6 = 36 possible combinations

The probability of getting a 10 is 3/32
The probability of getting an 11 or 12 is 3/32

multiplying those probabilities together with their reward/loss we have:

3/32 * -8 = -3/4
3/32 * 11 = 33/32

to make the game "fair" we need the probable amount of money you can win to be $0, so we can use the equation

-3/4 + 33/32 + (32/32 - 6/32)*x = 0

then you can just solve for x

6 0

3 years ago

Read 2 more answers

If the square root of p2 is an integer greater than 1, which of the following must be true? I. p2 has an odd number of positive

Grace [21]

Answer:

Option | and Option || is True

Step-by-step explanation:

Given:

If the square root of $p^{2}$ is an integer greater than 1,

Lets p = 2, 3, 4, 5, 6, 7..........

Solution:

Now we check all option for $p^{2}$

Option |.

$p^{2}$ has an odd number of positive factors.

Let $p=2$

The positive factor of $2^{2}=4=1,2,4$

Number of factor is 3

Let $p=3$

The positive factor of $3^{2}=9=1,3,9$

Number of factor is 3

So, $p^{2}$ has an odd number of positive factors.

Therefore, 1st option is true.

Option ||.

$p^{2}$ can be expressed as the product of an even number of positive prime factors

Let $p=2$

The positive factor of $2^{2}=4=1,2,4$

$4=2\times 2$

Let $p=3$

The positive factor of $3^{2}=9=1,3,9$

$9=3\times 3$

So, it is expressed as the product of an even number of positive prime factors,

Therefore, 2nd option is true.

Option |||.

p has an even number of positive factors

Let $p=2$

Positive factor of $2=1,2$

Number of factor is 2.

Let $p=4$

Positive factor of $4=1,2,4$

Number of factor is 3 that is odd

So, p has also odd number of positive factor.

Therefore, it is false.

Therefore, Option | and Option || is True.

Option ||| is false.

4 0

3 years ago

Into how many segments do n points divide a given line segment?

yulyashka [42]

n points would divide a given line into n+1 segments.

Just assume that you have a line and you added a point to that line, this point would divide your line into two segments.
If you add two points to a line, these two points would divide your line into three segments.
So the number of segments is always greater that the number of points by 1.

8 0

3 years ago

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to

Levart [38]

The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

Ashley sold a total of 155 cups: s + l = 155
Ashley earnedfor $265: 1.25 * s + 2.50 * l = 265

s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98

5 0

3 years ago

Write the ratio 1 1/7:1/9 in simplest form

Elden [556K]

[tex]1\dfrac{1}{7}=\dfrac{1\cdot7+1}{7}=\dfrac{8}{7}\\\\1\dfrac{1}{7}:\dfrac{1}{9}=\dfrac{8}{7}:\dfrac{1}{9}=\dfrac{8}{7}\cdot\dfrac{9}{1}=\dfrac{72}{7}[tex]

Answer: 1 1/7 : 1/9 = 72 : 7

8 0

3 years ago