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Sliva [168]
3 years ago
10

If Jimmy has 530 pieces of paper and Kit comes along and gives him 18 times as much, how many pieces of paper Jimmy have? And if

Kit takes 23 pieces away how much does Jimmy have now?
Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

10,070 and 10,047 pieces respectively

Step-by-step explanation:

In this question, we have 2 questions to answer.

Firstly, we are told that Jimmy has 530 pieces of paper and kit comes along to give him 18 times as much, we need to know how much he has now.

Since he was given 18 times as much, the amount given would be 18 * 530 = 9,540

The amount he has now would be 9,540 + 530 = 10,070 paper pieces

Secondly, Kim comes along to take 23 pieces away, we need to know how much pieces he has now. What to do is simply to

Subtract 23 from the previous pieces = 10,070 - 23 = 10,047 pieces of paper

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The 4th term of an arithmetic sequence is 12 and the 8th term is 36. Find the 17th term of the sequence.
Blizzard [7]

Answer: 90

Step-by-step explanation:

The formula for calculating the nth term of a sequence is given as :

t_{n} = a + ( n - d )

Where a is the first term

d is the common difference and

n is the number of terms

This means that the 4th term of an arithmetic sequence will have the formula :

t_{4} = a + 3d

And the 4th term has been given to be , 12 ,substituting into the formula we have

12 = a + 3d .............................. equation 1

Also substituting for the 8th term , we have

36 = a + 7d .............................. equation 2

Combining the two equations , we have

a + 3d = 12  ................... equation 1

a + 7d = 36 ------------ equation 2

Solving the system of linear equation by substitution method , make a the subject of formula from equation 1 , that is

a = 12 - 3d ................... equation 3

substitute a = 12 - 3d into equation  2 , equation 2 then becomes

12 - 3d + 7d = 36

12 + 4d = 36

subtract 12 from both sides

4d = 36 - 12

4d = 24

divide through by 4

d = 6

substitute d = 6 into equation 3 to find the value of a, we have

a = 12 - 3d

a = 12 - 3 ( 6)

a = 12 - 18

a = -6

Therefore , the 17th term of the sequence will be :

t_{17} = a + 16d

t_{17} = -6 + 16 (6)

t_{17} = -6 + 96

t_{17} = 90

Therefore : the 17th term of the sequence is 90

6 0
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Alexxx [7]

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Step-by-step explanation:

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