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Nikolay [14]
3 years ago
14

Write a rule for the nth term of the arithmetic sequence described below.

Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

an = 115 + (n - 1) (-6)

a25 = - 29

Step-by-step explanation:

We use the definition for the nth term of an arithmetic sequence:

an = a1 + (n - 1) d

a5 = 91 = a1 + (5 - 1) d

91 = a1 + 4 d

a20 = 1 = a1 + (20 - 1) d = a1 + 19 d

1 = a1 + 19 d

now we subtract term by term one expression from the other

90 = 4 d - 19 d

90 = - 15 d

divide both sides by -15 to isolate d

d = 90 / (-15) = -6

Now we can calculate what a1 is using for example:

1 = a1 + 19 d

1 = a1 - 114

add 114 to both sides:

115 = a1

Then our general expression for the sequence is:

an = 115 + (n - 1) (-6)

We can now use it to calculate the value of a25:

a25 = 115 + (24) * (-6) = -29

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54 out of 90 people have a cat. What percent of people have a cat?
AveGali [126]

Answer:

60% of people have a cat.

Step-by-step explanation:

That would be 54/90 times 100%, or 60%

60% of people have a cat.

3 0
3 years ago
Heather has her own bakery. She makes 4 pans of muffins each day. If her bakery is open 7 days a week, how many pans of muffins
OlgaM077 [116]

Answer:

28 pans of muffins per week

Step-by-step explanation:

To solve the above question, we know that:

1 day = 4 pans of muffins

7 days = x pans of muffins

Cross Multiply

1 day × x pans of muffins = 7 days × 4 pans of muffins

x = 28 pans of muffins

Since, 7 days = 1 week

Heather makes 28 pans of muffins per week

3 0
3 years ago
Give two coterminal angles (one positive and one negative) and the reference angle -4 pi/5
kherson [118]

The coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

<h3>What is coterminal angles?</h3>

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by 2π in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

= 6π/5

Reference angle:

= π - 4π/5  (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Learn more about the coterminal angles here:

brainly.com/question/23093580

#SPJ1

6 0
2 years ago
35 people paid a total of $245 for admission to a local soccer game. What is the price of admission?
DIA [1.3K]

35 people paid a total of $245 for admission to a local soccer game. What is the price of admission?

Answer: We are given that 35 people paid total of $245 for admission.

Now we need to find the price of one admission. To find the price of one admission we need to divide the total amount paid by the number of people.

Therefore, the price of admission is:

\frac{245}{35}=\ 7


7 0
3 years ago
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing
zheka24 [161]
25 total marbles, 17 red plus green, so id say d) 68%
7 0
3 years ago
Read 2 more answers
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