A play runs for five evenings. The table shows the number of tickets sold and the amount of money collected each evening.

What is the cost per ticket? ​

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

By question , f is inversely proportional to square root of g. In mathematical form ,

[tex]\implies f \propto \dfrac{1}{\sqrt g}[/tex]

Let k be constant . So that ,

[tex]\implies f =k \dfrac{1}{\sqrt g}[/tex]

When f = 8 , g is 25. So that ,

[tex]\implies 8= k\dfrac{1}{\sqrt {85}}[/tex]

[tex]\implies k = 8\sqrt{25} [/tex]

Hence the value of constant is 8√25.

So that when g is 16 ,

[tex]\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 } [/tex]

Hence the Value of f is 10 .

Answer:

180

Step-by-step explanation:

150/100*20=30 +150=180

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

Answer:

do you still need help

Step-by-step explanation:

???

Answer:

7

Step-by-step explanation:

you just divide 8/56= 7

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Step 1:

Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:

 56⟌8    

Step 2:

The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:

   0    

 56⟌8    

Step 3:

Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.

      0    

 56⟌8    

   0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.

   0    

 56⟌8    

    -0  

     8    

the answer to 8 divided by 56 calculated using Long Division is: 7

its A, C, and E

Good Luck

Answer:

I got A and C

Step-by-step explanation:

The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

Answer:

The circumference is:

14.6 x 3.14 = 45.844 (m)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

16 students prefer maths and 2 students prefer science so

16-2=14

Answer:

What expressions?

Step-by-step explanation:

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

Answer:

n = 7

Step-by-step explanation:

Let the number be n.  Then 4n + 12 = 40.

Solving this for n:  4n = 28, so that n must be 7.

n = 7

Answer: 28

Step-by-step explanation:   4x7=28.     28+12=40

Answer:

The dime hits the ground after 8 sec.

Step-by-step explanation:

Set h(t) = -16t^2 + h(0) equal to 0:  -16t^2 + 1,024 ft = 0, or:

16t^2 = 1,024 ft, or:

 t^2 =  64 ft^2

Then t = +8 sec

The dime hits the ground after 8 sec.

The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :

.

Question :

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42

a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0

ii) H_0: rho = 0, H_1: rho notequalto 0

iii) H_0: rho notequalto 0, H_1: rho = 0

iv) H_0: rho = 0, H_1: rho > 0

b. Construct a scatterplot. Choose the correct graph below.

c. The linear correlation coefficient r is.

d. The test statistic t is.

e. The P-value is.

Answer:

Pvalue > α ; Hence, we fail to reject the null.

Step-by-step explanation:

When testing for correlation :

Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.

1.)

H_0: rho = 0,

H_1: rho notequalto 0

2.)

Given the data :

Budget(x) : 61 92 48 36 135 58 93

Gross(y) : 69 62 53 58 627 144 42

Scatter plot is attached below

3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation

4.)

Test statistic :

T = r / √(1 - r²) / (n - 2)

r² = 0.751² = 0.564

T = 0. 751 / √(1 - 0.564) / (7 - 2)

T = 0.751 / 0.2952964

T = 2.543

E.)

Using the Value from Tscore calculator :

Pvalue(2.543, 5) ; two tailed

Pvalue = 0.0517

At α = 0.05;

Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.

Answer:

x = 34

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(100-32)

x = 1/2 (68)

x =34

Answer:

18 = 18

Step-by-step explanation:

f(3) =

2(3)^2 = 5(3) + 3

2 × 9 = 15 + 3

18 = 18

Answer:

10 games for $25

Step-by-step explanation:

level up: y = 1.5x + 10

infinity arcade: y = 2x +5

x = # of games

1.5 (10) + 10 = 2 (10) + 5

15 + 10 = 20 + 5

25 = 25

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

Answer:

I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]

[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]

[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]

[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]

[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]

[tex]\mathsf{7\times3=h}[/tex]

[tex]\mathsf{7\times3=\bf 21}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x    -2       -1        0        1          2         3

y    -12     -9       -6       -3         0         3

Answer:

3/5 c

Step-by-step explanation:

_________________

Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Answer:

Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

Answer:

r=85

Step-by-step explanation:

r-76=9

add 76 to both sides

r=85

hope this is helpful

Answer: 85

Step-by-step explanation:

Since we're finding the placeholder of r and we're already subtracting, we need to add! What we need to do is add 76 + 9 which equals 85!

Hope this helps you! Good luck with your future work!