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faltersainse [42]
3 years ago
13

Simplify ¼(8m-4n) + ⅓(6m+3n)?

Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer: 4m

Step-by-step explanation:

1/4(8m-4n)+1/3(6m+3n)     given

2m-1n+2m+1n                      distribute (1n is just n)

4m-n+n                                 add 2m and 2m (add like terms)

4m                                         the n's cancel out and leave 4m (add like terms)

Hope this helps!

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The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0
3 years ago
17) Convert the number to scientific notation 0.00317
Masteriza [31]

Answer:

3.17x10^-3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6 0
4 years ago
What is the product of 9 times 2
kondaur [170]

Answer:

18

Step-by-step explanation:

product means the sna=swer of a multiplication problem, so 9x2=18

6 0
3 years ago
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Suppose a study estimated that 68% of the residents of a town (with an error range of ±8 percentage points at 95% confidence) fa
kipiarov [429]
The correct answer would be 62%
5 0
3 years ago
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Amelia and her brother had a snow day, so they played in the snow for 3 hours. During that time, it snowed another 4.8 inches. I
damaskus [11]

Answer:

1.6 inches per hour. you would divide 4.8 by 3 which is equal to 1.6.

Step-by-step explanation:

7 0
4 years ago
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