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Nady [450]
3 years ago
8

What is the common difference is this sequence: 5,17,29,41,53?

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

12

Step-by-step explanation:

To find the common difference, we take the 2nd term and subtract the first term

17-5 =12

We check it with the 3rd term minus the second term

29-17 = 12

The common difference is 12

We add 12 each time

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X/5-2=x/2+3 solve for x
Makovka662 [10]
Solve for x:x/5 - 2 = x/2 + 3
Put each term in x/5 - 2 over the common denominator 5: x/5 - 2 = x/5 - (10)/5:x/5 - (10)/5 = x/2 + 3
x/5 - (10)/5 = (x - 10)/5:(x - 10)/5 = x/2 + 3
Put each term in x/2 + 3 over the common denominator 2: x/2 + 3 = x/2 + 6/2:(x - 10)/5 = x/2 + 6/2
x/2 + 6/2 = (x + 6)/2:(x - 10)/5 = (x + 6)/2
Multiply both sides by 10:(10 (x - 10))/5 = (10 (x + 6))/2
10/5 = (5×2)/5 = 2:2 (x - 10) = (10 (x + 6))/2
10/2 = (2×5)/2 = 5:2 (x - 10) = 5 (x + 6)
Expand out terms of the left hand side:2 x - 20 = 5 (x + 6)
Expand out terms of the right hand side:2 x - 20 = 5 x + 30
Subtract 5 x from both sides:(2 x - 5 x) - 20 = (5 x - 5 x) + 30
2 x - 5 x = -3 x:-3 x - 20 = (5 x - 5 x) + 30
5 x - 5 x = 0:-3 x - 20 = 30
Add 20 to both sides:(20 - 20) - 3 x = 20 + 30
20 - 20 = 0:-3 x = 30 + 20
30 + 20 = 50:-3 x = 50
Divide both sides of -3 x = 50 by -3:(-3 x)/(-3) = 50/(-3)
(-3)/(-3) = 1:x = 50/(-3)
Multiply numerator and denominator of 50/(-3) by -1:Answer:  x = (-50)/3
7 0
2 years ago
Find the x and y intercepts for the following equation. 4x - 2y = 16
irinina [24]

Answer:

( 4, 0 ) and ( 0,-8 )

Step-by-step explanation:

→ Rearrange into y = mx + c format

4x - 2y = 16

→ Minus 4x from both sides

-2y = -4x + 16

→ Divide everything by 2

-y = -2x + 8

→ Multiply everything by -1

y = 2x - 8

→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept

x = 0 then y = -8 so ( 0,-8 )

y = 0 then x = 4 so ( 4, 0 )

4 0
3 years ago
Read 2 more answers
Louis has 45 pencils and 75 pens to divide into gift bags at the fair. He does not want to mix the pens and pencils. He wants to
Rudiy27

15 pens and pencils

7 0
3 years ago
what is the mean of this data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18. answers: 13.50, 14.00, 14.75, and 15.75​
murzikaleks [220]

Answer:

14.75

Step-by-step explanation:

Add them all up, divide by 12

8 0
3 years ago
Find the area of this triangle.
Oxana [17]

Answer:

The area is 104

Step-by-step explanation:

8 0
2 years ago
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