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xxTIMURxx [149]
3 years ago
7

Perform the indicated operation. 8/a - 6/a + 7/a

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

9/a

Step-by-step explanation:

8/a - 6/a + 7/a

Since the denominators are the same, we can add the numerators

8-6+7 =9

Then put it over the common denominator a

9/a

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Write as a product 27a^3−(a−b)^3
jarptica [38.1K]

Answer:

  (2a +b)·(13a^2 -5ab +b^2)

Step-by-step explanation:

The factorization of the difference of cubes is a standard form:

  (p -q)^3 = (p -q)(p^2 +pq +q^2)

Here, you have ...

  • p = 3a
  • q = (a-b)

so the factorization is ...

  (3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q

  = (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit

  = (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms

6 0
3 years ago
The sum of two numbers is -26. One number is 148 less than the other. Find the numbers
maks197457 [2]

Answer:

61 and -87

Step-by-step explanation:

If the numbers are x and x - 148, we can write the following equation:

x + x - 148 = -26

2x - 148 = -26

2x = 122

x = 61 so x - 148 = 61 - 148 = -87

5 0
3 years ago
PLEASE HELP ASAP !!!!! What would these be in scientific notation ?
Zarrin [17]

\text{the scientific notation}\\\\a\cdot10^n\ \text{where}\ 1\leq a < 10\ \text{and}\ n\in\mathbb{Z}

5\underbrace{7,909,000}_{\leftarrow7}km=5.7909\cdot10^7km\\\\1\underbrace{08,200,000}_{\leftarrow8}km=1.082\cdot10^8km\\\\1\underbrace{49,600,000}_{\leftarrow8}km=1.496\cdot10^8km\\\\2\underbrace{27,940,000}_{\leftarrow8}km=2.2794\cdot10^8km\\7\underbrace{78,330,000}_{\leftarrow8}km=7.7833\cdot10^8km\\\\1,\underbrace{424,600,000}_{\leftarrow9}km=1.4246\cdot10^9km\\\\4,\underbrace{498,252,900}_{\leftarrow9}km=4.4982529\cdot10^9km

4 0
3 years ago
I need help with this question plzz
Serjik [45]

Answer:

40 miles away from home

To put it in yard would be 82,720

Step-by-step explanation:

8 0
3 years ago
What is the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34 Round yo
Galina-37 [17]

We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.

The probability of a data score between two z-scores is given by formula P(a.

Using above formula, we will get:

P(-1.32

Now we will use normal distribution table to find probability corresponding to both z-scores as:

P(-1.32

P(-1.32

Now we will convert 0.27351 into percentage as:

0.27351\times 100\%=27.351\%

Upon rounding to nearest tenth of percent, we will get:

27.351\%\approx 27.4\%

Therefore, our required probability is 27.4% and option C is the correct choice.

5 0
3 years ago
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