Movie Night tickets at the Strand cost $9 for adults and $7 for the students. The box office received 2,025 in adults ticket sales and $1,904 for student ticket sales. How many tickets were sold?

Answer:

401.92

Step-by-step explanation:

Volume = [tex]\pi r^{2} h[/tex]

3.14 x 16 x 8=

3.14 x 16= 50.24

50.24 x 8= 401.92

Answer:

y < x

Step-by-step explanation:

equation of line can be derived by finding slope and y-intercept

in this case the slope is 1 and the y-intercept is 0

equation is y = x

however, this is an inequality so answer is one of the following:

y > x  or  y < x

pick a point in the shaded region (these are the 'solutions'), let's pick (1, -1)

x = 1 and y = -1

which one is true?  -1 > 1  or  -1 < 1

-1 < 1 is the true one so inequality is y < x

Answer:

...

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

To get the price of one can, we divide 3 by 5

After doing this, we find one can costs $0.60

0.6 · 8 = $4.80

Answer:

30000

Step-by-step explanation:

discount (d)= 5%of M.p

=5/100 * 600000

=30000

Answer:

53

Step-by-step explanation:

10×6-(9+5)/2

60-9+5/2

60-14/2

60-1×7

60-7

53

Answer:

[tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Step-by-step explanation:-

The equation used to find the equation of circle is :-

[tex](x-a)^{2} + (y-b)^{2} = radius^{2}[/tex]

'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.

In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.

So, 'a' will be 5 and 'b' will be -8

So,

[tex](x-5)^{2} + (y--8)^{2} = 8^{2}[/tex]

[tex](x-5)^{2} + (y+8)^{2} = 64[/tex]

[tex]x^{2} - 10x + 25 + y^{2} - 16y + 64[/tex]

[tex]x^{2} + y^{2} -10x -16y + 64 - 25[/tex]

= [tex]x^{2} + y^{2} -10x -16y + 39[/tex]

Answer:

y=3(x-2)²+49

Step-by-step explanation:

vertex-form is given as y=a(x-h)²+k, where (h,k) is the coordinate of the vertex

we are given the function in standard form, which is:

y=ax²+bx+c

our function is:

3x²-12x+61

the value of a is given as the value of the coefficient in front of the squared term (in this case, it's 3)

here's the function so far in vertex form:

y=3(x-h)²-k

now, we need to find the vertex

to find h, we can use the formula (-b/2a)

the value of b is given as the value of the coefficient in front of the linear term (in this case, it's -12)

and we know from above that a=3

substitute what we know into the formula:

h=-b/2a

h=12/2(3)

h=12/6

h=2

so h is 2

*Please note that when we substitute it into the function, it's -2

so here is our function so far:

y=3(x-2)²-k

now to find k, which is given in the formula c-(b²/4a)

we know from above that a=3, b=-12

c is the value of the constant (term without a variable). In this case, it's 61

once again, substitute what we know into the equation:

k=61-((-12)²/4(3))

k=61-(144/12)

k=61-12

k=49

therefore the function will be:

y=3(x-2)²+49

Hope this helps!

Answer:

[tex]f - g = x - 10 - 4 + x = 2x - 14 \\ f - g(5) =10 - 14 = - 4 [/tex]

Answer: (a)- [tex]0.99\ \text{units}[/tex]

Step-by-step explanation:

Given

Central angle is [tex]57^{\circ}[/tex]

The radius of the unit circle is [tex]1\ \text{unit}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r[/tex]

Put the values

[tex]\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}[/tex]

Answer:

8x-34=74

Explanation-

Answer:

SAS, SSS

Step-by-step explanation:

You're A>A>S

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

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

it is not measurable.

Answer:

A) 113 m²

Step-by-step explanation:

Use the formula for area of a circle.

Area of a circle = πr²

π = pi = 3.14 (rounded)

r = radius

² = the power of 2, or the radius (in this case) multiplied by itself.

Note that the radius is given, and it is 6. Plug in 6 for the radius:

A (circle) = π(6)²

First, solve the power. Multiply 6²:

6² = 6 * 6 = 36

Next, multiply 36 with π (3.14):

36 x 3.14 = 113.04

A) 113 m² is your closest answer.

~

Radius (r) of a circle = 6 m.

[tex] \bigstar [/tex] To Find the area of the circle.

Since we know,

• Taking value of π = 3.14

[tex] \dag [/tex] Area of a circle is πr².

So, Area of the circle = 3.14 × (6)²

Area of the circle = 3.14 × 6 × 6

Area of the circle = 113.04 = 113 m².

The area of the circle is 113 m².

Hence, option (A) 113 m² is correct. [Answer]

Answer:

$34 and 77.8 miles

Step-by-step explanation:

The computation of the amount for traveling 25 miles is shown below:

Since it is given that the rental company charges $2.75 plus $1.25 for each mile

So for 25 miles, the cost you have to pay is

= $2.75 + 25 miles × $1.25

= $2.75 + $31.25

= $34

Now for traveling for $100, the miles should be traveled is

= ($100  - $2.75) ÷ 1.25

= 77.8 miles

Hence, the same is to be considered

Answer:

1) hypotenuse = 5

2) leg = 2.65

Step-by-step explanation:

1) x² = 3² + 4² = 9 + 16 = 25

x = √25 = 5

2) x² = 4² - 3² = 16 - 9 = 7

x = √7 = 2.65

Answer:

-4 ; 2

Step-by-step explanation:

x = largest  ; y= smaller

2y + 3x = -2

4y - 3x = -22

Best method = elimination

sum the the two equations and replace one by the equation found

6y = -24

2y + 3x =-2

solve the first equation for y by dividing the two members by 6

y = -4

substutue -4 at the y of the second equation and solve for x

-8 + 3x = -2

3x = 6

x = 2

Answer:

C im pretty sure

Step-by-step explanation:

24 divided by 3 = 8 in 1 minute he will make 8 shots

2 = 16

5 x 8 = 40 shots in 5 minutes (correct) so its C

Answer:

C

Step-by-step explanation:

24 in 3 minutes = 8 baskets in 1 minute.

Table:

minutes = baskets

1 = 8

2 = 16

3 = 24

4 = 32

5 = 40

The answer is C, it shows 1,2,5 minutes with the correct rate of change.

Answer:

13 and 20

Step-by-step explanation:

13 x 20 = 260

13 + 13 + 20 + 20 = 66

Answer:

10 degrees celsius

Step-by-step explanation:

Answer:

3x² –12x + 32, R –93

Step-by-step explanation:

(3x³ – 3x² – 4x + 3) ÷ (x + 3)

We can obtain the answer to the question given above using long division method as follow:

Please see attached photo for explanation.

(3x³ – 3x² – 4x + 3) ÷ (x + 3) =

3x² –12x + 32, Remainder –93

Answer: heres an example

Step-by-step explanation:Convert the problem to an equation using the percentage formula: Y/X = P%

X is 60, Y is 12, so the equation is 12/60 = P%

Do the math: 12/60 = 0.20

Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.

Converting 0.20 to a percent: 0.20 * 100 = 20%

Answer:

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Step-by-step explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57

Answer:

z = 68, x = 9

Step-by-step explanation:

z must equal 68 since they're vertical angles.

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

180 - 68 = 112

12x + 4 = 112

---> x = 9

Answer:

z = 68 degrees

x = 9

Step-by-step explanation:

z = 68 degrees because of the vertex angle theorem

x is a little more complicated

First you set 68 + (12x + 4) equal to 180 becuase a straight line is 180 degrees.

68 + (12x + 4) = 180

-68 -68

12x + 4 = 112

-4 -4

12x = 108

/12 /12

x = 9

Answer:

I think D cause it has an exponent

Answer:

your answer is d because it is havinf power 2