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snow_tiger [21]
2 years ago
15

Can you please help me with this.

Mathematics
2 answers:
Genrish500 [490]2 years ago
8 0

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

a_n=a_1+d(n-1)  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

a_n=2+3(n-1) which simplifies to

a_n=2+3n-3 and a bit more to

a_n=3n-1 (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

a_{13}=3(13)-1 so

a_{13}=38

kipiarov [429]2 years ago
3 0

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

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Noah and Maggie are making a rectangular picture frame.They want the length of the frame to be three inches longer than the widt
zalisa [80]

Answer:

9 inches by 12 inches

Step-by-step explanation:

So let's say <em>L</em>=length and <em>W</em>=width.

Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3

And the formula to find the perimeter of a rectangle is 2L+2W

so plug in W+3 for L and you get 2(W+3)+2W

Then distribute

2W+6+2W

Combine like-terms

4W+6

And the problem states the perimeter is 42 inches so,

4W+6=42

Subtract 6 to both sides

4W=36

Divide by 4 to both sides

W=9

So the width is 9

And to get the length, plug in 9 for W in L=W+3

L=9+3

L=12

So the length is 12

7 0
3 years ago
What's the complete factored form.<br>5b^2(p-7)+7(p-7)​
kap26 [50]

Answer:

The complete factored form in (p-7)(5b^2+7)

Step-by-step explanation:

6 0
3 years ago
A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1
Bumek [7]

Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

Total number of people= Number of students + the 3 teachers

= 54+3= 57

Total cost for 57 people= (£52 × 57 people)= £2964

The amount of money the school will have as left over = (£3000 - £2964)

= £36

8 0
2 years ago
a total of 35 students are going to a field trip to NASA'S Johnson space center in houston,texas if there needs to be one adult
Trava [24]

Answer:

at least 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The table shows the ratio of nuts to raisins in different snack mixes.
stellarik [79]

Answer:

figure 3

Step-by-step explanation:

see attached

x coordinates is the nuts

and y coordinates is the raisings

5 0
2 years ago
Read 2 more answers
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