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diamong [38]
3 years ago
15

A geometric sequence has a first term of 3 and a fourth term of 81÷8. Find the eighth term

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

6561 / 128

Step-by-step explanation:

The nth term of a geometric sequence is:

a = a₁ (r)ⁿ⁻¹

The first term is 3, and the fourth term is 81/8.

81/8 = 3 (r)⁴⁻¹

27/8 = r³

r = 3/2

The eighth term is therefore:

a = 3 (3/2)⁸⁻¹

a = 6561 / 128

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McKayla hikes 8 miles on Monday. On Tuesday she
Lady_Fox [76]

Answer:

10.4 miles

Step-by-step explanation:

convert 30% to a decimal 0.3

Then multiply 8×0.3=2.4

Now you have to add 2.4 to 8 because it is 39% more

4 0
3 years ago
A town has two sneaker factories, Sneakerheadz and Nukicks. While Nukicks was closed on Sunday, Sneakerheadz made 900 pairs of s
Scilla [17]

Answer:

Sneakerheadz produced 900 pairs on Sunday. And on Monday, they produced shoes at a rate of 300 per hour.

Then the total number of pairs produced is:

S(t) = 900 + 300*t

where t represents the number of hours worked on Monday.

We know that Nuckicks only worked on Monday, and the same amount of time as Sneakerheadz, but at a rate of 480 sneakers per hour.

We can write the total number of pairs as:

N(t) = 480*t

Now we know that Nukcicks produced in Monday the sane number of pairs than Sneakerheadz produced in the two days, then we have that:

S(t) = N(t)

900 + 300*t = 480*t

900 = 480*t - 300*t = 180*t

900/180 = t

5 = t

So the factories operated 5 hours on Monday.

8 0
3 years ago
Please help me
lisabon 2012 [21]

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

3 0
2 years ago
Read 2 more answers
How to do this equation by elimination 8x +14y= 4 and -6 + -7y =-10
svet-max [94.6K]
8x + 14y = 4
-6x - 7y=-10  / *2

8x + 14y=4
-12x -14y= -20
_________________
-4x=-16 => x=4; y= -2
5 0
3 years ago
Read 2 more answers
At a soccer tournament there are (16x+30) boys and (5x-12) more girls if x= 5 how many girls are at the tournament
VikaD [51]
16(5)+30
16x5=80
80+30=110


5(5)-12
5x5=25
25-12=13

110x13=1430

There are 1430 girls at the soccer tournament. 

Hope this helps!

3 0
4 years ago
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