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3 years ago

What ordered pair represents the number of jump ropes made per hour

Mathematics

2 answers:

V125BC [204]3 years ago

7 0

where is the rest of the question?

is that it?

KiRa [710]3 years ago

7 0

can you give us more info on this question? like anything?

thanks

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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

4 years ago

A/75=15/100<br> help me in this :(

Svetach [21]

a / 75 = 15 / 100

100a = 75 * 15 [cross multiplication]

a = 11.25

i hope this helps!!! :D

4 0

3 years ago

Read 2 more answers

Zara has forgotten her 4-digit PIN code. She knows the first digit is a prime number and the 4 digits make a number divisible by

vredina [299]

Answer:

2,500 different sets

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Let 4-digit PIN code be WXYZ

As first digit is a prime number

So, W = 1, 2, 3, 5, 7

n(W) = 5

X and Y are number from 0 - 9

So, n(X) = 10 & n(Y) = 10

Z makes the whole number divisible by 2.

So, Z must even number

So, Z = 0,2,4,6,8 or n(Z) = 5

We can calculate the number of different sets by using following formula,

n(W) × n(X) × n(Y) × n(Z)

By putting the value, we get

5 × 10 × 10 × 5 = 2,500

6 0

3 years ago

The coordinates of the vertices of AABC are A(2,5), B(6, -1), and C(-4,-2). Find the perimeter of AABC, to the nearest tenth.

ValentinkaMS [17]

Answer:

S...tep-by-step explanation:

5 0

3 years ago

Help me wegnerkolmp2741o

Pie

Answer:

Step-by-step explanation:

All these amount of money are based on Dan's initial amount, which is x. Ben had 7 more than Dan, so Ben's amount of money is x + 7. Kaden has 4 more than Ben, so Kaden's amount of money is 4 + (x + 7) which is x + 11. So here's the breakdown so far:

Dan: x

Ben: x + 7

Kaden: x + 11

Now it looks like Kaden is the favorite and got another 20 from his mom, so his amount became x + 31. After Dan spends a dollar, making his amount x - 1, Kaden had 9 times what Dan had. Now we have finally:

x + 31 = 9(x - 1) and

x + 31 = 9x - 9 and

40 = 8x so

x = 5.

Dan originally had $5, Ben originally had $12, and Kaden originally had $16

8 0

3 years ago