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3 years ago

What is 90y-10x-10 in simplest form

1 answer:

3 0

90y - 10x - 10

First, find the greatest common factor (GCF)
10 is the largest number that divides evenly into 90y, -10x, and -10.
The GCF is 10.

Second, factor out the GCF.
Put the GCF as the first term
In parentheses, divide each term by the GCF
$10 (\frac{90y}{10} + \frac{-10x}{10} - \frac{10}{10} )$

Third, simplify each term in the parentheses. / Your problem should look like: 10(9y - x - 1)

Answer: 10(9y - x - 1)

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is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 7 comedies, 4 mysteries, and 5 h

pogonyaev

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

The number of horror films =5

The total number of movies other than comedy = 14

Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

$^7C_7\times^{14}C_2\\\\\dfrac{7!}{7!(7-7)!}\times\dfrac{14!}{2!(14-2)!}\\\\=(1)\times\dfrac{14\times13}{2}\\\\=91$

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

5 0

3 years ago

Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

8 0

3 years ago

Read 2 more answers

Answers plz it’s timed

aksik [14]

Answer:

Laurie

Step-by-step explanation:

6 0

3 years ago

Describe the steps you can use to find an average of fractional amounts.

oksano4ka [1.4K]

Add up the fractional amounts and divide them by however many amounts there are..........

eg.

Step 1:Add the fractions
1/6 + 5/8 +3/4
(find the LCD)
1/6 + 5/8 + 3/4 = 4/24 + 15/24 + 18/24 = 37/24

Step 2: Divide the sum by the number of numbers in the set
37/24 ÷ 3= 37/24 ÷ 3/1= 37/24 X 1/3= 37/72

<span>So the mean (average) is 37/72</span>

5 0

3 years ago

4,650 Rounded to the hunred

Zielflug [23.3K]

4650
^ This is the hundreds place

Look at the number after it, if it's 5 or more we round up, if it's 4 or less we round down.

The number is 5, so we round up to 4700.

7 0

3 years ago

Read 2 more answers