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Ludmilka [50]
3 years ago
11

Solve. x^-9 y^3 / x^-7 y^8

Mathematics
1 answer:
aniked [119]3 years ago
3 0

\dfrac{x^{-9}y^3}{x^{-7}y^8}=x^{-9-(-7)}y^{3-8}=x^{-2}y^{-5}=\dfrac{1}{x^2y^5}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}

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tia_tia [17]

Answer:

F

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which number is the additive verse of -10 1/4
snow_lady [41]

Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

5 0
2 years ago
A commitee is consist of 6 men and 4 woman ,a sub commitee is made by randomly choosen three commitee members .what is the proba
Whitepunk [10]

Answer:

a) 1/30

b) 1/6

Step-by-step explanation:

a) There are 10 people total and a group of 3 is being chosen. However, they all need to be women:

For the first person, the probability of it being a woman is 4/10

For the second person, the probability of it being a woman (with the prerequisite that the first was a woman) is 3/9

For the third (with the same requirements) is 2/8

If we multiply all of the fractions together, we get: \frac{1}{30}

b) There are 10 people total and a group of 3 is being chosen. However, two of them need to be men, and 1 needs to be a woman:

For the first person, the probability of it being a man is 6/10

For the second person, the probability of it being a man (with the prerequisite that the first was a man as well) is 5/9

For the third person, the probability of it being a woman (because it can only be two men) is 4/8

If we multiply all the fractions together, we get: \frac{1}{6}

3 0
2 years ago
What two numbers add up to get -23 and multiply 120
boyakko [2]
I DONT KNOW, but go ask your teacher for help. lol
4 0
3 years ago
Plz help I don't understand this question.
ladessa [460]
<h3>Answer:  12</h3>

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

Explanation:

  • j = number of jerseys ordered
  • c = total cost in dollars

For company X, the equation is c = 10j + 115 where the 10j is the cost of buying all the jerseys (j of them). Then we tack on the flat fee of $115

The equation for company Y is c = 20j for similar reasoning as the previous company, but now each jersey costs $20. We don't add on anything else because there isn't an extra flat fee.

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

We have this system

\begin{cases}c = 10j+115\\c = 20j\end{cases}

which are the equations for company X and company Y in that order.

Both equations have 'c' on the left side. So we can equate the right hand sides and solve for j

20j = 10j+115

20j-10j = 115

10j = 115

j = 115/10

j = 11.50

Recall that j is the number of jerseys. It's not possible to order half a jersey, so we have to round to the nearest whole number. The question is: which way? We're right at the midpoint between j = 11 and j = 12. Let's check both values of j to see what the costs are for each company.

  • j = 11 for company X leads to c = 10j+115 = 10*11+115 = 225
  • j = 11 for company Y leads to c = 20j = 20*11 = 220

Company Y is the cheaper option if you bought 11 jerseys. But we want to know when company X is the better deal. Let's try j = 12

  • j = 12 for company X leads to c = 10j+115 = 10*12+115 = 235
  • j = 12 for company Y leads to c = 20j = 20*12 = 240

This time company X is the winner in terms of the best deal (aka cheapest cost). If j gets any bigger, then company X is still the winner. So we can see that the minimum order must be 12 jerseys if we want company X to be the cheapest option.

6 0
2 years ago
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