In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row
ahead of it. There are 35 rows in the theater.
a. Express the number of seats in the nth row of the theater in terms of n.
b. Use sigma notation to represent the number of seats in the theater.

Answer:

2 solutions

Step-by-step explanation:

Given

2x² + 3x - 5 ( to solve the quadratic equate it to zero )

2x² + 3x - 5 = 0 ← in standard form

(2x + 5)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]

x - 1 = 0 ⇒ x = 1

The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1

Answer:

? = 12

Step-by-step explanation:

(x + 6)(x + 6)

= x^2 + 12x + 36

Answer:

y = [tex]\frac{-1}{4}[/tex]x - 3

Step-by-step explanation:

(4, -4) (-8, -1)

y = mx + b

equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]

[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]

y = [tex]\frac{-1}{4}[/tex]x - 3

Answer:y

=

2

x

−

y

Step-by-step explanation:

Answer:

Approximately $14.20

Step-by-step explanation:

Let the cost of the groceries be represented by c, then;

cost price + VAT = c + (5% of c)

To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.

Let c = $14.20, then;

So that,

c + (5% of c) = 14.20 + (5% of 14.20)

                    = 14.20 + 0.71

                    = $14.91

Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.

Step-by-step explanation:

id-9384026088

password-9999

Step-by-step explanation:

Solution:

Given:-

(X+y,y+3)=(6,2y)

Equating corresponding elements,we get,

X+y=6------(1)

y+3=2y-----(2)

solving equation (2),

y-2y=-3

-y=-3

y=3.

Now, substituting y=3 in equation (1)

X+3=6

X=6-3

X=3

Therefore,. (X,Y) = (3,3)

Answer:

The answer is B choice.

Explanation:

Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.

[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]

For a linear function or line graph.

[tex]y = mx + b[/tex]

This means that the function y has the graph that shifts up b units.

[tex]y = mx - b[/tex]

While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.

Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.

Back to the answer.

Comparing two graphs, from f(x) and g(x) —

We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^

Thus, the answer is B.

Answer:

Unitary cost per copy= $0.12

Step-by-step explanation:

Giving the following information:

Total number of copies= 52 copies

Total cost= $6.24

We need to calculate the unitary cost of each copy. To do that, we will use the following formula:

Unitary cost per copy= total cost / number of copies

Unitary cost per copy= 6.24/52

Unitary cost per copy= $0.12

Answer:

6

Step-by-step explanation:

Answer:

The change is increasing with a percentage of change of 64%

Step-by-step explanation:

Since we have the present grater than the original, then the change is increasing

Secondly, we want to calculate the percent of change

Mathematically , that will be ;

(present - original)/original * 100%

= (90-55)/55 * 100%

= 35/55 * 100% = 63.63 which is approximately 64%

Estimated Answer: 30

Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30

Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)

Answer:

IT'S 30

Step-by-step explanation:

= 30:  2X3X5 6X5 =30 This a little bit of step by step but.......

Answer:

1/since 4/5 in three munites i think e divide lang yong 4/5 in to 3.

Answer: A

Step-by-step explanation: 4/15

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-1/3-(-1)

m=-2/4

m=-1/2

Answer:

answer D

Step-by-step explanation:

A and C have to be equal

B and D have to be equal

A+B+C+D have to equal 360

so, two equations

5y-3=x+3y

4x+5y-3+x+3y=360

4x=156

x=39

5y-3=9+3y

2y=42

y=21

Hope this helps plz hit the crown :D

Answer:

$21.90

Step-by-step explanation:

You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.

Hope this helps!

Answer:

Positive 4

Step-by-step explanation:

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

Answer:A

Step-by-step explanation:A

The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.

The given function is f(x) = 3000 + 100x.

We need to find which of the following is the most reasonable domain and range for the function.

The domain and range are defined for a relationship and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞, ∞) {x|x∈R}

Range: (-∞, ∞) {y|y∈R}

The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.

To learn more about the range and domain visit:

https://brainly.com/question/28135761.

#SPJ6

Answer:

50

Step-by-step explanation:

35/7= 5

5*10=50

Answer:

50 people in the choir

Step-by-step explanation:

we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.

Hope this helps! :)

(Also i know my explanation is rly bad just ignore it)

Yes, this is the right answer

Answer:

150

Step-by-step explanation:

600/8*2

Answer:

60 hours

Step-by-step explanation:

We are given;

Initial amount: A_o = 64 mg

Half life; T_½ = 15 hours

Amount left: A = 4 mg

To get the time that 4 mg of Sodium-24 remain, we will use the formula;

A = A_o(½^(t/T_½))

Where t is the time that 4 mg of Sodium-24 remain.

Thus;

4 = 64 × ½^(t/15)

Divide both sides by 64 to get;

4/64 = 2^(t/15)

0.0625 = ½^(t/15)

In 0.0625 = (t/15) In 0.5

-2.7726 = (t/15) × -0.6931

t = (-2.7726 × 15)/-0.6931

t = 60 hours

Answer:

x = 76

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides

[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )

[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )

x = 76

Answer:

2 cans

Step-by-step explanation:

Given that :

Radius of pool = 30 feets

Using the relation for the Area of a circle :

Area = pi*r^2

Thus,

Area of pool = 3.14 * 30^2

Area of pool = 3.14 * 900 = 2826feet²

Paints are sold in cans of 5 gallon

5 gallon of paint = 1500 feet²

Least number of 5 gallon can required :

2826 feet² / 1500 feet² = 1.884 cans

Hence,

Least number of 5 gallon can required = 2 cans

Answer:

-6°C

Step-by-step explanation:

(-3) - 3 = -6

Answer:

The answer is a

Step-by-step explanation: