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a new theater is being built for the city ballet. the balcony has 150 seats. the floor has 15 rows with x seats in each row. the number of people in the theater must be under 360 to meet fire safety regulations. what is the solution of thus inequality, and what is its meeting?

answers in the picture ​

Answer:

14 kilometers

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

35÷2.5=14

have a goodnight

Answer:

f=1/18x+1/4 x=-9/2+18f

Answer:

b

Step-by-step explanation:

only one that makes sense lol. a is only losing half 10-5= 5. c is spending $8 twicce so it goes to -$16. d earns 10 points

Answer:

6f

Step-by-step explanation:

Combining like terms is easy. Just think it like this: 4+3-1, and add the f on later. That is 6, and add the f on and you get 6f. It's like adding variables.

Hope this helps plz mark brainliest if correct :D

Answer:

cookie

Step-by-step explanation:

Answer:

y = 1/5x

Step-by-step explanation:

Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder

Let the distance from lightning be y and the time it takes to hear thunder be x

If k is the proportionality constant, then;

y = kx

Now, let’s calculate k , given x 10 seconds and y = 2 miles

2 = 10k

k = 2/10 = 1/5

So the equation for the given situation is;

y = 1/5x

Answer:

408square feet is total surface area of given figure

Step-by-step explanation:

area of two triangle=120square feet

area of 2 outer rectangle=208square feet

area of inner rectangle =80square feet

sum of all shape=120+208+80=408square feet

Answer:

the correct answer would be 13.5

Answer:

x < - 4

Step-by-step explanation:

-5x + 12 > 32

      - 12 > - 12

-5x > 20

-5x/-5 < 20/-5

x < - 4

Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

Given that, spinner has 12 equal areas, so there are 12 possibilities of occurrences i.e. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Multiples of 3 are: {3, 6, 9, 12}

Multiples of 4 are: {4, 8, 12}

To find the multiple of 3 or 4, we need to find the union of the above two sets.

Multiples of 3 or 4: {3, 4, 6, 8, 9, 12}

Number of multiples of 3 or 4 = 6

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 6 and

Total number of cases are 12.

Therefore the required probability is:

[tex]P(\text{Multiple of 3 or 4}) = \dfrac{6}{12}\\P(\text{Multiple of 3 or 4}) = \bold{\dfrac{1}{2}}[/tex]

Answer:

13x+4

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

I just looked up the question and saw the exact same one so.

Answer:

A) X=pi/2 or X=-pi/2

B) X=pi/6 or X=-pi/6

C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4

D) X= 1-cos^2(x/2)

E) X= pi/3 +2pi N, 5pi/3+2pi N

Step-by-step explanation:

Don't even bother asking. :)

Answer:

6

Step-by-step explanation:

hope this helps, have a good day

Answer:

199x48 = 9552

24000-9552=14448

14448 x- 6% = 866.88

14448+866.88= 15314.88

The overall payment is 24000+6%

Step-by-step explanation:

The total cost of the vehicle is  $29760

The % at which a loan is given or the % at which your investment will give return is the Interest Rate.

It is given that

Walter purchased a 2010 model sedan for $24,000.

The dealership offered him a $199/month payment plan for 48 months,

Principal = $24000

Rate = 6%

Time =48 months = 4 years

The Simple interest =

24000 * 6 * 4 / 100

Interest = $5760

The payment done in 48 moths is

199 * 48 = $9552

The balloon payment due at the end of 48 months is 24000 + 5760 - 9552 = $20208

The total cost of the vehicle is $ 24000+ 5760 = $29760.

To know more about Interest Rate

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Answer:

A. 18.99

Step-by-step explanation:

Times 75.95 by .25 and you get the amount taken off

Answer:

C

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 8 + 6x + 34 = 42 + 6x ( subtract 6x from both sides )

4x + 2 = 42 ( subtract 2 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

Thus

∠ S = 8 + 6x = 8 + 6(10) = 8 + 60 = 68° → C

Answer:

30 cents

Step-by-step explanation:

If you divide 1.50 by 5 you get .30 and if you divide 2.40 by 8 you also get .30 keep smiling, have a good day

The constant of proportionality that relates to the cost per can is $0.3.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, At a grocery store, Mary bought five cans of corn and paid $1.50.

Therefore, The cost of each can is,

= $(1.50/5).

= $0.3.

And,  Larry bought 8 cans of corn and paid $2.40.

Therefore, The cost of each can is,

= $(2.40/8).

= $0.3.

So, The constant of proportionality is $0.3.

learn more about the unitary method here :

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Answer:

A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.

Let us see some example problems based on the above concept.

Example 1 :

Which value of x is the solution of the equation

(2/3) x + (1/2) = (5/6) ?

Solution :

(2/3) x + (1/2)  =  (5/6)

(2x/3)  + (1/2)  =  (5/6)

(4x + 3)/6  =  (5/6)

Multiply 6 on both sides

4x + 3  =  5

Subtract 3 on both sides

4x + 3 - 3  =  5 - 3

4x =  2

Divide by 4 on both sides

4x/4  =  2/4

x  =  1/2

Hence the value 1/2 will satisfy the above equation.

Example 2 :

Which value of x is the solution of the equation

(2/3) x + (x/6) = 5 ?

Solution :

(2x/3) + (x/6) = 5

(4x/6) + (x/6) = 5

(4x + x)/6  =  5

5x/6  =  5

Multiply by 6 on both sides

5x  =  5 (6)

5x  =  30

Divide by 5 on both sides

x  =  30/5  =  6

Hence the value 6 will satisfy the above equation.

Example 3 :

The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?

Solution :

From the above question, we come to know that we have to solve for x, that makes the statement true.

(2x/3) − 5  =  x/4

(2x - 15)/3  =  x/4

Multiply 3 on both sides

2x - 15  =  3x/4

Multiply by 4 on both sides

4(2x - 15)  =  3x

8x - 60   =  3x

Subtract 3x on both sides

8x - 3x  -  60  =  0

5x - 60  =  0

Add by 60 on both sides

5x - 60 + 60  =  0  + 60

5x  =  60

Divide by 5 on both sides

x  = 60/5

x  =  12

Example 4 :

What is the value of x in the equation

(x − 2)/3 + 1/6 = 5/6 ?

Solution :

(x − 2)/3 + 1/6 = 5/6

(2(x - 2) + 1)/6  =  5/6

multiply by 6 on both sides

(2x - 4 + 1)  =  5

2x - 3  =  5

Add 3 on both sides

2x - 3 + 3  =  5 + 3

2x  =  8

Divide by 2 on both sides

x  = 8/2

x  =  4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got it right

Answer:

200

Step-by-step explanation:

Just took the test on edge.

Answer:

0.6

Step-by-step explanation:

To find the answer, do 0.018 divided by 0.03 which equals 0.6

Hope this helps you!!  :)

n= 0.6

Answer:n=0.6

Step-by-step explanation: you divide 0.03 on both sides which gives you the answer to n