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2 years ago

There are 54 students on a school bus. The number of high school

Mathematics

1 answer:

Arisa [49]2 years ago

3 0

Answer: there are 37 high school students on the bus

Step-by-step explanation:

h+m=54 total number of students

h= 2m+3 total number of HS students

2m+3+m=54 Substitute 2m+3 in for h

3m+3=54

3m=51

m=17

h+17=54

h= 37

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given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

Will mark brainliest and 15 points

defon

Step-by-step explanation:

x + y = 9. => 2x + 2y = 18.

2x + 2y = 18

- (2x - 3y = -12)

=> 5y = 30, y = 6.

Therefore x + (6) = 9, x = 3.

The solution is x = 3 and y = 6.

7 0

2 years ago

A recipe for quinoa calls 2 2/3 cups of milk. Conner wants to makes 4 batches of quinoa. How much milk does he needs

krek1111 [17]

10 2/3 cups of milk for 4 batches

8 0

3 years ago

Read 2 more answers

Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to coll

Naily [24]

It would take him 5 weeks. why?
7.89*20= $156 per week
156*5 weeks= $780

4 0

3 years ago

Read 2 more answers

How to graph (x-2)(y-3)=0

kolbaska11 [484]

Step-by-step explanation:

here you want to isolate the y.

so what you do in the beginning is divide both sides by x-2.

then, you'll have y-3 = 0

so y = 3

this is a horizontal graph that crosses the y axis and y = 3.

5 0

2 years ago