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GaryK [48]
3 years ago
6

Simplify 28m^2n^4 \div 8m^3n^2

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
28/8 = (28÷4)/(8÷4) = 7/2;
m^2 / m^3 = (m^2÷m^2)/(m^3÷m^2) = 1/m;
n^4/n^2 = (n^4÷n^2)/(n^2÷n^2) = n^2;
Finally, we obtain 7n^2/2m ;
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In order to avoid staying after work, a quality control analyst inspects the first 100 items produced that day. Which sampling m
mr_godi [17]
Based on the given scenario above wherein the quality control analyst just inspects the first 100 items produced that day in order to avoid staying after work, the sampling method that she used is the CONVENIENCE SAMPLING METHOD. Hope this helps.
3 0
3 years ago
Read 2 more answers
What is the answer to C?
OleMash [197]

The diagram of the sequence of circular and square tiles gives;

a) 49

b) 84

c) Will always be odd

<h3>Which method can be used to find the order of the sequence in the pattern?</h3>

Pattern 1

Number of square tiles = 1

Number of circular tiles = 8

Total number of tiles = 9

Pattern 2

Number of square tiles = 4

Number of circular tiles = 12

Total number of tiles = 16

Pattern 3

Number of square tiles = 9

Number of circular tiles = 16

Total number of tiles = 25

  • The number of square tiles required to make pattern <em>n </em>= n²

From the diagram, the number of circular tiles on the left or right side of the square tiles are 2 more than the number of square tiles, while the number of circular tiles on the top or bottom are the same as the number of square tiles, therefore;

  • Number of circular tiles = 2•(n + 2) + 2•n

a) The number of square tiles required to make pattern number 7 = 7² = 49

b) The number of circular tiles needed to make pattern number 20 = 2 × 20 + 2 × (20 + 2) = 84

c) The total number of circular tiles is always even while the number of square tiles has the same characteristics (even or odd) as the pattern number

  • Even + Odd = Odd
  • Even + Even = Even

When the pattern number is odd, the total number of tiles will always be odd. The correct option is therefore;

B. Will always be odd

Learn more about sequence and series here:

brainly.com/question/12668338

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4 0
2 years ago
Identify the system of equations used to solve the following problem. A laboratory employee is mixing a 10% saline solution with
irakobra [83]
I think with the kinds of mixture problems, it's really helpful to make a table.

The equations you actually need are x + y = 500 and 0.1(500-y)+0.04y=30. Since I was so close, I went ahead and just solved it anyway. You can see my setup on the attached image.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%5Clarge%5Cgreen%7B%5Cunderbrace%7B%5Cred%7BQuestion%2A%7D%7D%7D%3A" id="TexFormula1" tit
matrenka [14]

Answer:

y >   \boxed{\cfrac{42}{5} }

Step-by-step explanation:

Given inequality:

\cfrac{y}{3} > 7 - \cfrac{y}{2}

To solve for <em>y.</em>

Solution:

Rewrite the inequality as,

  • \displaystyle \frac{1y}{3}  >   \frac{ - 1}{2} y + 7

Adding 1/2y to both sides,

  • \cfrac{1}{3} y +  \cfrac{ 1 }{2} y >  \cfrac{ - 1}{2}y  + 7 +  \cfrac{1}{2} y

  • \cfrac{5}{6} y > 7

Multiplying both sides by 6/5:

  • \cfrac{6}{5}  \times  \cfrac{5}{6} y >  \cfrac{6}{5}  \times 7

  • y >   \boxed{\cfrac{42}{5} }

Value of y is 42/5.

7 0
2 years ago
. Mr. Lorenzo gave his 2 sons $50 to buy a cooler. The total cost for the cooler is $44. Mr. Lorenzo told his sons that they cou
Butoxors [25]

Answer:

<h2>S=$3</h2>

Step-by-step explanation:

Given that the cost of cooler is $44

money given to the two sons $50

let S represent the amount the two son will have to share equally

the change is 50-44=6

=$6

Then s=6/2=$3

applying with the expression directly we have

S = (50 - 44)/2

S = (6)/2

S=$3

7 0
3 years ago
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