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n200080 [17]
3 years ago
5

⅓(5x-4) >x+11/12. Topic(Linear Inequalities​

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:

1/3(5x_4)>x+11/12

multiply through by 12

4(5x_4)>12x+11

20x_16>12x+11

20x-12x>11+16

8x>27

x>27/8

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Divide and simplify to the form a+bi. 5+6i 5+6i 6+ i (Simplify your answer. Type an integer or a fraction. Type your answer in t
alekssr [168]

Answer:

-\frac{6}{37} + \frac{371}{37}i

Step-by-step explanation:

We need to evaluate \frac{(5+6i)(5+6i)}{6+i}

(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i

= \frac{-11+60i}{6+i}

Now we rationalize the denominator.

Now, multiplying both the numerator and denominator by (6-i)

\frac{-66 + 11i + 360i - 60i^2}{36 - i^2} = \frac{-66 + 60  + 371i}{37} = \frac{-6 + 371i}{37}

= -\frac{6}{37} + \frac{371}{37}i

Formula used:

(a+b)² = a² + b² + 2ab

i² = -1

6 0
4 years ago
Simplify answer without parenthesis<br> (6w)
sertanlavr [38]

Answer:

6w

Step-by-step explanation:

You can't simplify it any further:

6 * w

w+w+w+w+w+w

<u>6w</u>

6 0
2 years ago
Please HELP. ALSO WHY. 2 question. pLZZ
avanturin [10]

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = \frac{2}{6} minutes

                                                                     = \frac{2}{6}\times 60 seconds

                                                                     = 20 seconds

6 0
3 years ago
The booster club needs to raise at least $8,000 for new football uniforms. So far, they have raised $1,270. Enter an inequality
saw5 [17]

Answer: See explanation

Step-by-step explanation:

From the question, the booster club needs to raise at least $8,000 for new football uniforms and they've already raised $1,270.

The inequality to find the average amounts each of the 97 members can raise to meet the club's objective will be:

97x ≥ 8000 - 1270

97x ≥ 6730

x ≥ 6730/97

x ≥ 69.38

4 0
3 years ago
Compute the geometric mean for the following data on growth factors of an investment for 10 years.
Brrunno [24]

The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.

<h3>What is Geometric Mean?</h3>

The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.

Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.

<h3>What is the computation justifying the above answer?
</h3>

The formula for geometric mean is given as:

\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}

Hence,

The geometric Mean =

1.0147506490423

\approx 1.1475


Learn more about Geometric Mean:
brainly.com/question/23706022
#SPJ4

4 0
2 years ago
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