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marusya05 [52]
3 years ago
13

A theater has 50 seats in the front row.There are 4 additional seats in each row following row. Write a rule to represent the nu

mber of seats in any given row as an explicit formula.
Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

f(n) = 46 +4n . . . . . . where f(n) is the number of seats in row n

Step-by-step explanation:

The numbers form an arithmetic sequence with first term 50 and common difference 4. The general term for such a sequence is ...

... a[n] = a[1] + d·(n -1)

... = 50 + 4(n -1) . . . . filling in your numbers

... = 46 + 4n . . . . . . . simplify

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Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15
Softa [21]

Answer:

-2x² + 21x + 27

Step-by-step explanation:

distribute 3 to get:

(6x² + 21x + 12) - 8x² + 15

combine 'like terms' to get:

-2x² + 21x + 27

5 0
3 years ago
Dominic ordered 210 pens. He divided them equally among his 10 friends. One of his friends, Benjamin, already had 27 pens. Then,
photoshop1234 [79]

Answer:

35

Step-by-step explanation:

210/10=21 pens per friend

21+27=48 pens for benjamin

48-13=35 pens left

benjamin has 35 pens now

7 0
3 years ago
Find the acute angle between the lines. round your answer to the nearest degree. 6x − y = 4, 4x y = 9
garri49 [273]
Picture please and thank you

8 0
2 years ago
use a system of linear equations with two variables and two equations to solve. a number is 11 more than another number. twice t
Eva8 [605]

The value of required two numbers x and y are 7 and -4 respectively. These values are find out using Elimination method.

Let the required first number and second numbers be x and y respectively .

We have given that, one Number is more than other by 11

i.e., the difference of two numbers is equal to 11

x - y = 11. …..(1)

And twice the sum of the two numbers is 6 i.e.,

2(x + y) = 6 => 2x + 2y = 6 => x +y = 3 …….(2)

Now , equation (1) and (2) are linear equation with two variables x and y .

We shall solve above two equations and find out the value of two variables. Using Elimination method , In which value of one variable is find out by eliminate the second variable through their coefficient comparison.

Added the equation ( 1) and (2) we get, 2x = 14 => x = 7

Put the value of x in equation (1) we get,

7 – y = 11 => y = -4

Thus, we get the values of two variables x and y is 7 and -4 respectively.

To learn more about linear equation, refer:

brainly.com/question/21243732

#SPJ4

7 0
9 months ago
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a r
klemol [59]

Answer:

73.1 inches

Step-by-step explanation:

We solve for this using z score formula.

z-score is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

x = unknown = randomly selected male's height

μ = 70.3 inches

σ = 4.1 inches

z = is not given but we are given its percentile which is 75

The z score for a 75th percentile = 0.674

Hence,

0.674 = x - 70.3/4.1

Cross Multiply

0.674 × 4.1 = x - 70.3

2.7634 = x - 70.3

x = 70.3 + 2.7634

x = 73.0634 inches

The height of the randomly selected male = 73.0634

Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches

7 0
3 years ago
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