1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
3 years ago
10

Describe a real world scenario that is an arithmetic series. Show your work as you find the 7th term of your scenario.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

A new night club opens. The first night 100 patrons attend. For each successive night for a month, 20 more attend. How many attend on the 7th night?

Arithmetic sequence formula finding the nth number:

<span>a</span><span>n</span><span> = a</span><span>1</span><span> + (n – 1)d</span>

<span>A(7) = 100 + (7-1) 20</span>

<span>A(7) = 100 + (6)20</span>

<span>A(7) = 100 + 120</span>

<span>A(7) = 220</span>

<span>
</span>

<span>So, on the 7th night, there 220 patrons.</span>

You might be interested in
The table shows the amount of money that Bradford saved in his savings account after different amounts of time.
DochEvi [55]
Nice of you to offer 50 points

the constant of proportinality is the sloep or
\frac{change(y)}{change(x)}
x is independent variable and y is dependent variable

the independent variable influences the value of the dependent variable

in this case, the number of months influences the amount of money saved

to find the slope, you do
x=number of months
y=amount

we have
4months, $50
8 months, $100
18 months, $225

or
(x,y)
(4,50)
(8,100)
(18,225)

we can compare

the slope between the points (a,b) and (c,d) is
(d-b)/(c-a)
we can take the slope between any 2 points (assuming the slope is the same, which it is)

(4,50) and (8,100)
slope=(100-50)/(8-4)=50/4=25/2=12.5

the slope is 12.5

2nd option is the answer
3 0
3 years ago
Read 2 more answers
Which equation is equivalent to x + 8 = 21?
soldi70 [24.7K]

Answer:

b

13+8=21

21×4=84

84÷4=21

3 0
3 years ago
Choose the correct graph of the following condition.<br> {(x, y) : x = 4) o [(x,y): y = 4)
Studentka2010 [4]

Answer:

There is no solution

Step-by-step explanation:

7 0
3 years ago
Emily buys a dress for ?48 and adds 25% onto the price before putting it into her shop window what price does he price tag say i
Maurinko [17]

Answer:

$60

Step-by-step explanation:

$48 x 25% = $12

$48+$12 =$60

6 0
3 years ago
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
Other questions:
  • I need help with the 1st question I dont really understand it
    5·1 answer
  • The first problem please
    9·1 answer
  • Let's say there are 1,000 lawyers in the USA and 100 of them are Oreo cookie lovers. These 100 lawyers consumer a total of 800 O
    14·1 answer
  • The linear equation was solved using these steps. Linear equation: 1 3 (12x + 15) = 7 Step 1: 4x + 5 = 7 Step 2: 4x = 2 Step 3:
    6·2 answers
  • What is the gcf of 75and 36?
    11·1 answer
  • Pls help this is confusing. also who likes my cursor?​
    9·1 answer
  • Polygons ABCD and EFGH are similar. Find the length of CD.
    15·1 answer
  • How to answer this ?
    6·1 answer
  • If 15% of a number is 24 and 80% of the same number is 128, find 95% of that number.
    10·1 answer
  • Work out the size of angle EDF, giving a reason for your answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!