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Irina18 [472]
3 years ago
10

Insert five numbers between 1/27 and 27 to form a geometric sequence. there are 2 answers

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

1/27, 1/9, 1/3, 1, 3, 9, 27

27, 9, 3, 1, 1/3, 1/9, 1/27

Step-by-step explanation:

The nth term of a geometric sequence is:

aₙ = a₁ rⁿ⁻¹

If 1/27 is the first term, and 27 is the 7th term, then:

27 = 1/27 r⁷⁻¹

27 = 1/27 r⁶

27² = r⁶

27 = r³

r = 3

This sequence is 1/27, 1/9, 1/3, 1, 3, 9, 27.

On the other hand, if 27 is the first term, and 1/27 is the 7th term, then:

1/27 = 27 r⁷⁻¹

1/27 = 27 r⁶

1/27² = r⁶

1/27 = r³

r = 1/3

This sequence is 27, 9, 3, 1, 1/3, 1/9, 1/27.

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Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. Wh
lbvjy [14]

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

6 0
3 years ago
If u work it out then i will give lots of brinilets (pls show workings out)<br> :P
hammer [34]

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

3 0
3 years ago
Hey can anybody help me out
NikAS [45]
You should be able to find the answer try using the tiger math app
6 0
3 years ago
Find x. :) Tyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
MissTica
It is 39 because x is the same angle as <39 so there congruent hope this helps
6 0
3 years ago
PLS<br> HELP<br><br><br><br><br> DUE RNNN<br><br><br><br><br> WILL GIVE BRAINLIST
a_sh-v [17]

Answer:

Hello! answer: 21

Step-by-step explanation:

25 × 3 = 75

7 × 3 = 21 so n = 21 HOPE THAT HELPS!

7 0
3 years ago
Read 2 more answers
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