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Anestetic [448]
2 years ago
7

Determine the greatest common factor of 28xy^9z and 32x^2y^7z

Mathematics
1 answer:
RSB [31]2 years ago
5 0

Answer:

GCF = 4xy⁷z

Step-by-step explanation:

Do Prime Factorizations for each term and select only those terms common to each:

28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z

32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z

GCF = 2·2·x·y·y·y·y·y·y·y·z

GCF = 4xy⁷z

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20=8+3(12+4x) Please help<br> It's really hard
nataly862011 [7]
So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side

20-8-36=8-8+36-36+12x
20-8-36=12x

Now simplify

20-8-36=12x
12-36=12x
-24=12x

Divide both sides by 12, and you get x=-2

Hope this helped!!! :D
4 0
3 years ago
Read 2 more answers
I really need help on this i dont know how to do it.
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

25x = 300

Rearrange to solve

x = 300 divided by 25 = 12

Hope this helps

5 0
3 years ago
Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How
Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
7 0
3 years ago
How do you do this equation? 9x+(y)i-5=-12+4
Vaselesa [24]
9x+yi-5=-12+4\\\\(9x-5)+yi=-13\iff9x-5=-13\ and\ y=0\\\\9x=-13+5\\9x=-8\\x=-\frac{8}{9}\\\\Answer:x=-\frac{8}{9}\ and\ y=0.
3 0
3 years ago
The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.
Svetach [21]

Answer:

15 yards

Step-by-step explanation:

proportion:

2/5:6/X

2x=30

x=15

3 0
3 years ago
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