A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?

Answer:

Step-by-step explanation:

3. [tex]\frac{3}{16}=\frac{x}{12}[/tex]

   36 = 16x

   9 = 4x

   x = [tex]\frac{9}{4}[/tex]

4. [tex]\frac{x}{120}=\frac{1}{24}[/tex]

   x = [tex]\frac{120}{24}[/tex]

   x = 5

5. [tex]\frac{a-2}{9}=\frac{2}{3}[/tex]

   3a - 6 = 18

   3a = 24

   a = 8

6. [tex]\frac{b+4}{5}=\frac{7}{4}[/tex]

  4b + 16 = 35

  4b = 19

   b = [tex]\frac{19}{4}[/tex]

7. [tex]\frac{3}{7}=\frac{c+4}{35}[/tex]

  105 = 7c + 28

  7c = 105 - 28

   7c = 77

   c = 11

8. [tex]\frac{2c}{11}=\frac{c-3}{4}[/tex]

   8c = 11c - 33

   11c - 8c = 33

    3c = 33

    c = 11

9. [tex]\frac{7}{k-2}=\frac{5}{8}[/tex]

   56 = 5k - 10

   5k = 66

    k = [tex]\frac{66}{5}[/tex]

12. [tex]\frac{c+1}{c-2}=\frac{4}{7}[/tex]

    7c + 7 = 4c - 8

    7c - 4c = -15

    3c = -15

    c = -5

13. [tex]\frac{v}{4}= \frac{7}{8}[/tex]

    v = [tex]\frac{7}{2}[/tex]

14. [tex]\frac{9}{14}=\frac{3}{n}[/tex]

    9n = 42

    n = [tex]\frac{42}{9}[/tex]

    n = [tex]\frac{14}{3}[/tex]

15. [tex]\frac{b+13}{2}=\frac{-5b}{3}[/tex]

   3b +39 = -10b

   13b = -39

    b = -3

16. [tex]\frac{3b}{b-4}=\frac{3}{7}[/tex]

    21b = 3b - 12

    21b - 3b = -12

    18b = -12

    b = -[tex]\frac{12}{18}[/tex]

    b = [tex]-\frac{2}{3}[/tex]

17. [tex]\frac{x+2}{2x-6}=\frac{3}{8}[/tex]

   8x + 16 = 6x - 18

   8x - 6x = -18 - 16

   2x = -34

    x = -17

Answer:

Point C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

=

0.6

d

+

1.2

Explanation:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is  

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Answer:

$0.80/oz

Step-by-step explanation:

$4 for 5 ounces

unit cost = price/weight = $4/(5 oz.) = $0.80/oz

Answer:

$00.80 and 1.15 ounces

Step-by-step explanation:

khan said so hope this helps

Answer:

x = 2/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

If you find this answer helpful, mark it Brainleast ;)

Answer:

−5<c<1

Step-by-step explanation:

Let's solve your inequality step-by-step.

7<12+c<13

7<c+12<13(Simplify all parts of the inequality)

7+−12<c+12+−12<13+−12(Add -12 to all parts)

−5<c<1

Answer:

c∈[-5,1]

Step-by-step explanation:

12+c>7

12+c<13

c>-5

c<1

Answer: 2(2x + 3)(x - 6)

Step-by-step explanation: For any factoring problem you do, your first

task will be to determine if a GCF exists for the original polynomial.

If a GCF does exist, it must be factored out as the first step to the problem.

In the problem you see here, the 3 terms in

the original polynomial have a GCF of 2.

So a 2 must be factored out as your first step.

This leaves you with 2(2x² - 9x - 18).

This does not make your life a whole lot easier however

because you still have a coefficient on the x squared term.

Factoring from here, you get 2(2x + 3)(x - 6).

Answer:

2(x - 6)(2x + 3)

Step-by-step explanation:

There are a few steps to factoring depending on the polynomial.

Step 1. Factor our a common factor if possible.

Every term is divisible by 2, so factor out a 2.

4x^2 - 18x - 36 =

= 2(2x^2 - 9x - 18)

Step 2. We need to factor the quadratic trinomial.

Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.

Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.

We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.

We can try guessing, but instead, I will use the "ac" method.

Step A. Multiply coefficients ac:

ac = 2(-18) = -36

Step B. Now we need two numbers that add to b and multiply to ac.

We need two numbers that add to -9 and multiply to -36.

The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.

We now break up the middle term, -9x, using these two numbers.

= 2(2x^2 - 12x + 3x - 18)

Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.

= 2[2x(x - 6) + 3(x - 6)]

x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.

= 2[(x - 6)(2x + 3)]

= 2(x - 6)(2x + 3)

Answer:

4x^2 + 3.

Step-by-step explanation:

f o g(x) = f(4x^2 + 4)

= (4x^2 + 4) - 1

= 4x^2 + 3.

I think it is done like this but I am not sure.

Simplifying

9 + -4(2x + -1) = 45

Reorder the terms:

9 + -4(-1 + 2x) = 45

9 + (-1 * -4 + 2x * -4) = 45

9 + (4 + -8x) = 45

Combine like terms: 9 + 4 = 13

13 + -8x = 45

Solving

13 + -8x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8x = 45 + -13

Combine like terms: 13 + -13 = 0

0 + -8x = 45 + -13

-8x = 45 + -13

Combine like terms: 45 + -13 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

We have,

Distribute the -4 to the terms inside the parentheses:

9 - 4(2x - 1) = 45

9 - 8x + 4 = 45

Combine like terms:

13 - 8x = 45

Move the constant term to the other side of the equation by subtracting 13 from both sides:

13 - 8x - 13 = 45 - 13

-8x = 32

Divide both sides of the equation by -8 to isolate the variable:

(-8x) / (-8) = 32 / (-8)

x = -4

Therefore,

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

Learn more about equations here:

https://brainly.com/question/3118662

#SPJ6

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

Answer:

AC=-160

BC is the midpoint of AC meaning half of AC

-160/2=-80

Answer:

the answer is (A) 14.13 cu. in

Step-by-step explanation:

Is A 14.13

explanation divide by to get radius then use the formula   4/3πr to the third

Answer:

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Answer:

push the x on the top left corner of the tab

Step-by-step explanation:

Answer:

B, C

Step-by-step explanation:

Amy should have flip the numerator and the denominator of the second fraction before multiplying. She also used addition instead of multiplication for the numerators.

Answer:

B C

Step-by-step explanation:

Answer:

7/22

Step-by-step explanation:

Answer:

it will be B took the test

Step-by-step explanation:

Steps to solve:

3 - 4y = 19

~Subtract 3 to both sides

-4y = 16

~Divide -4 to both sides

y = -4

Best of Luck!

Answer:

99

Step-by-step explanation:

11 and 9 are the smallest dimensions. Multiply them and you get 99.

Answer:

Total cost = ($8.50b) + ($3.99d)

Step-by-step explanation:

In a bakery, the cost of a dozen bagels = $8.50

and the cost of a dozen donuts = $3.99

1 Dozen = 12 pieces

Let 'b' represents the number of bagels (in dozen) and d represents dozen donuts.

The expression that represents total cost of b dozen bagels and d dozen donuts would be :

Total cost = ($8.50b) + ($3.99d)

Answer:

Step-by-step explanation:

X=5.25

Answer:

first day = 5.05mm = 0.505cm

second day = 9.55mm = 0.955cm

Step-by-step explanation:

Let x represent first day

Let y represent second day

x + y = 14.6

x = y - 4.5

(y - 4.5) + y = 14.6

2y - 4.5 = 14.6

2y = 14.6 + 4.5

2y = 19.1

Divide both sides by coefficient of y which is 2

y = 9.55

Substituting value of y in the equation x + y = 14.6

x + 9.55 = 14.6

x = 14.6 - 9.55

x = 5.05

To convert the values in mm to cm you divide them by 10 since 1cm=10mm

Answer:

62

Step-by-step explanation:

12-3=9

5x9=45

45+17=62

Answer:

f(12)= 62

Step-by-step explanation:

Plug 12 into x.

5(12-3)+17

45+17

= 62

Answer:

.5,2.5,1.5,3.0

Step-by-step explanation:

Answer:

.5,2.5,1.5,3.0

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 12a = 4

    12a/12 = 4/12

    a = 1/3

2.  2c = 7(8/7)

    2c = 8

     c = 4

3. 5h = 6(-3/8)

    5h = -18/8

    5h = -9/4

    20h = -9

      h = -9/20

4. -27m = -4

    m = 4/27

5. -42p = 21

    p = -21/24 = -1/2

6. -7x = 4/7

    x = -4

7. 9n = -40/9

  n = -40

8. 15g = -24

  g = -24/15 = -8/5

9. 4s = 56

   s = 14

10 -5t = -9(2/3)

     -5t = -6

    t = 6/5    

Answer:

See below.

Step-by-step explanation:

Start with triangle ABC with side BC lying on line n.

Draw a line through point A parallel to line n, and call it line m.

Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.

Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.

The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.

m<1 + m<BAC + m<2 = 180

Now we substitute in the angles we know are congruent by alternate interior angles (written above).

m<3 + m<BAC + m<4 = 180

Answer:

The answer is x > -7

Step-by-step explanation:

The starting out equation is:

-8(x - 3) + 5x < 9(x + 12)

Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]

Once you do that, you have something like this:

-8x + 24 + 5x < 9x + 108

Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.

-3x + 24 < 9x + 108

When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:

-3x -9x + 24 < 108

You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.

And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:

-3x -9x < 108 -24

Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)

-12x < 84

Now that we isolated the variable, we have to divide it by -12.

KEEP IN MIND!!

When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!

When you are dividing by a negative number,

REVERSE THE SIGN!!

I always forgot this and got it wrong back then!!

Back to the lesson, itll look like this when dividing

-12x < 84

------ ------

-12x -12x

Once you divide it, you'll get this

x > -7

I hope this helped!

Answer:

-7, 14, 21, and 42

Step-by-step explanation:

7•-1=-7

7•2=14

7•3=21

7•6=42

Answer:

4372 people would have been sick over time.

Step-by-step explanation:

Since the vaccine would be found in a week, then the over time is a week (7 days). Each day, a sick person infects two additional people.

Number of people infected by Velma can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Velma = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Also, number of people infected by Stanley can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Stanley = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Total number of people than can be infected over time = 2186 + 2186

                                                      = 4372

Therefore, the predictable number of infected people over time would be 4372. All citizens of Parsnipville would have been infected before the vaccine is available.

Answer:

Step-by-step explanation:

ASSUMING that only 4 new people get sick a day then we would have the equation 4x+2