A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?
​

Answer:

cause it is

Step-by-step explanation:

it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?

Answer:

it matters what the whole angles is.

Step-by-step explanation:

for example if it's a 180 degree angle P=50 then R would equal to 130 degrees

second example if P=50 and it's a 90 degree angle R=40

For anyone on OW, it's 130.

Answer:

323 ft^2

Step-by-step explanation:

Separate the figure on the left into two figures, a trapezoid and a square

The area of a trapezoid is

A = 1/2 (b1+b2)h

A = 1/2 (12+15)*7

  = 1/2 (28)7

     98 ft^2

The area of a square is

A = s^2

   = 15^2

   = 225 ft^2

Add the areas together

A total = 98+225 =323 ft^2

Answer:

Step-by-step explanation:

The number of meals that could

belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are

$11, $11, $12,$12, $13, $13, $13,$13

The frequency is 8

Therefore, 8 meals could

belong in the interval $10.99 - $13.99

Answer:

g= 1/2

Step-by-step explanation:

9+3.5g=11-0.5g

Add .5 g to each side

9+3.5g+.5g=11-0.5g+.5g

9+4g = 11

Subtract 9 from each side

9+4g-9 = 11-9

4g = 2

Divide by 4

4g/4 = 2/4

g= 1/2

Answer:

-22, 4, -27, 2

Step-by-step explanation:

-10 + (-12) = -10 - 12 = -22

-3 + 7 = 4

-11 - 16 = -27

-13 - (-15) = -13 + 15 = 2

Answer:

-22 4 -27 2

Step-by-step explanation:

-10 + (-12) = -22

-3 + 7 = 4

-11 - 16 = -27

-13 -(-15) = 2

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

100 x 25 x 4 = 10000[tex]m^{3}[/tex]

Step-by-step explanation:

Answer: 24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

Answer:

1. 4 2. 4 3. 5 4.1

Step-by-step explanation:

first box is 4 second box is 4 third is 5 fourth is 1.

You're welcome.

Answer:

Using triangular inequality:

[tex]0< s\leq 3+8\\\ 0<s\leq 11\\[/tex]

Answer:

A Graph b

Step-by-step explanation:

Since the two lines are parellel, they will never intersect and there will be no solutions

Answer:

The mass of the dissolved sugar and water is 11 g.

Step-by-step explanation:

When a substance is dissolved in another, they are mixed together forming a new one, therefore the new substance's mass must be the same as the sum of the individual mass of each substance mixed, because there are no leaks. In this case, there are two substances being mixed, the water which have a mass of 10 grams and the sugar which have a mass of 1 gram, therefore the final solution's mass must be equal to 11 g.

Answer:

Step-by-step explanation:

The arcs that are congruent are:

Two geometric figures can be described as congruent if on can be superpose on the other.

Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.

Learn more about congruent from

https://brainly.com/question/2938476

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

Answer:

21 g

Step-by-step explanation:

Use ration method

28:14 = 42:x

To find x,

(14 x 42) divided by 28, which equals 21g

Answer:

60

This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.

Answer:

60.. hope it helps

Step-by-step explanation:

Check the number in the ones place

It's is 9, which is greater than 5 so we will add 1, to the tens place,

It becomes 60

Another method..

The closest tens multiples to the given number are 50 and 60.

Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60

Answer:

0< h ≤ 15

Step-by-step explanation:

A = 1/2 * base * height = 1/2*16*h = 8h

A no more is ≤.

A ≤ 120

8h ≤ 120

h ≤ 15

0< h ≤ 15

Height should be  more than 0 feet and no more than 15 feet.

Answer:

The inverse of the function is [tex]g (x)=-5x-4[/tex].

Step-by-step explanation:

The function provided is:

[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]

Let us assume that:

[tex]y=f^{-1}(x)[/tex]

Then the equation will be:

[tex]y=\frac{-x-4}{5}[/tex]

To compute the inverse of the function substitute x as y and y as x.

[tex]x=\frac{-y-4}{5}[/tex]

Now solve for y as follows:

[tex]x=\frac{-y-4}{5}[/tex]

[tex]5x=-y-4[/tex]

[tex]y=-5x-4[/tex]

Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].

Answer:

The answer is "-5x-4"

Step-by-step explanation:

Given:

[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]

solve the above equation:

[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]

Let

[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]

inverse the above function:

[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]

Answer:

40

Step-by-step explanation:

To find the maximum we need to find the vertex. We can do this by writing the equation in vertex notation by completing the square.

A(w) = -w(w - 80)

= -w² + 80w

= -(w² - 80w) = -(w - 40)² + 160

The vertex is then (40, 160) and since we are looking for the value of w it will be 40.

Answer: 3 3√3

Step-by-step explanation:

81^1/3

=3√81

= 3 3√3

Answer:

b) 2 seconds

t=2 seconds will an object reach a height of 32 feet

Step-by-step explanation:

Explanation:-

Given  height  f =-16t+16t² ...(i)

Differentiating equation (i) with respective to 't'

[tex]\frac{df}{dt} = -16(t) +16(2t)[/tex]

Equating Zero

- 32 t + 16(2t) =0

 - 16 t = -32

        t = 2 seconds

Given height   f =-16t+16t²

                      f = - 16 (2) +16(4) = -32 +64= 32feet

Conclusion:-

t=2 seconds will an object reach a height of 32 feet

Answer:

y = -8x - 5 ; function form is y = mx+b

Step-by-step explanation:

15 + 3y = -24x

3y + -24x - 15

y = -8x - 5

Answer:

6 cream puff and 4 ice creams

Step-by-step explanation:

i = ice cream

p = cream puff

p+i= 10

1.50p + 1.20 i = 13.80

Multiply the first equation by -1.2

-1.20p -1.20 i = -12.00

Add this to the second equation

1.50p + 1.20 i = 13.80

-1.20p -1.20 i = -12.00

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

.3p = 1.80

Divide each side by .3

p =6

Now find i

p+i = 10

6+i= 10

i= 10-6 =4

Answer:

12

Step-by-step explanation:

Adding a to both sides of the second equation we get b = a+1

Substituting this in we get

10a + 10 - 9a=6

a +10 =6

a=-4

Putting this back in to the second one we get b+4=1

B=-3

-4*-3=12

The value of ab = 36.

We have the following equations -

10b - 9a = 6

b - a = 1

We have to determine the value of ab.

We have -  [tex]a^{2} -b^{2} = \pi[/tex]

(a + b) (a - b) = [tex]\pi[/tex]

a - b =  [tex]$\frac{\pi }{4\pi }[/tex]  = 1/4

According to question, we have -

10b - 9a = 6

b - a = 1

Now -

b - a = 1

a = b

Therefore -

10b - 9a = 6

10b - 9b = 6

b = 6 = a

ab = 6 x 6 = 36

Hence, the value of ab = 36.

To solve more questions on finding unknowns, visit the link below -

https://brainly.com/question/14728313

#SPJ2

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]

                                                     = [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

Answer:

11/123

Step-by-step explanation:

P( gospel) = number of gospel songs/ total

                 = 11/123

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c for child

a for adult

4c+ 6a ≤ 120  for build

4c +4a ≤ 100 for test

We want 20 child and 6 adult

4(20)+ 6*6 ≤ 120

80+36  ≤ 120

116  ≤ 120   true for build

4*20 +4*6 ≤ 100

80+24  ≤ 100

104 ≤ 100

False for test

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Multiply the 1.5 hours per pound by 2.75 pounds and we get 4.125 hours or    4 1/8

Answer:

C: 4 1/8

Step-by-step explanation:

i took the quiz