In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?

Answer:

453 adult tickets and 877 student tickets were sold.

Step-by-step explanation:

Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:

5 - 1 = 4

1330 x 1 = 1330

3142 - 1330 = 1812

1812/4 = 453

1330 - 453 = 877

877 x 1 + 453 x 5 = X

877 + 2265 = X

3142 = X

Therefore, 453 adult tickets and 877 student tickets were sold.

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

Answer:

b/c

Step-by-step explanation:

9514 1404 393

Answer:

  b. iii, v, and vi

Step-by-step explanation:

We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.

The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.

Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.

Answer:

D. 286.5 in.^2

Step-by-step explanation:

3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=

22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=

total surface area= 286.5 in.^2

Answer:

43 is the answer ok I hope you helped

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

Answer:

Short leg = 24inches

Long leg = 32inches

Hypotenuse = 40inches

Step-by-step explanation:

Given:

Pythagorean Theorem:

a²+b²=c² → (x-8)²+ x² = (x+8)²

Solving for both sides:

x² - 16x+ 64 + x² = x²+ 16x + 64

More Painful Solving:

x² - 32x = 0

x(x-32) = 0

x=0 or 32

Can't use the 0 so we trash it!

x=32

add 8 to get the hypotenuse and subtract 8 to get the short leg

Answer:

12.57

Step-by-step explanation:

same as last time you know

Answer:

1/64 for each type f flowe

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

21cm3

Step-by-step explanation:

Answer:

Least is 7

Most is 12

Step-by-step explanation:

So 2 shirts for 12.

So 24

Take 24 off of both

Left with 21 to 36

21÷3 is 7

36÷3 is 12

Hope this helps

Answer:

least - $7

most - $12

Explanation:

if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.

the least amount melissa could have spent on a skirt is:

($45 - $24) ÷ 3 = $7

and the most she could have spent is:

($60 - $24) ÷ 3 = $12

i hope this helps! :D

Step-by-step explanation:

[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]

Answer:

B

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

a. [tex]12\sqrt{3}[/tex]

b. [tex]144\sqrt{3}[/tex]

c. [tex]24+24\sqrt{3}[/tex]

Step-by-step explanation:

This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.

Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].

From the properties of a rectangle we know that the right side is 12.

The diagonal is equal to [tex]12*2=24[/tex].

We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],

And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]

Answer:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.

2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.

3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]             [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]

4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.

5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]    Fundamental trigonometric identity.

6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]   Factorization.

7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.

Answer:

1713

Step-by-step explanation:

952+288+472=1713

Answer:

Step-by-step explanation:

okay

Answer:

I hope this helps dear

Step-by-step explanation:

P = 2(L + W) = 32 in

L = W + 4

2[(W + 4) + W] = 32 in ⇒

W = 6 in

L = W + 4 = (6 + 4) in = 10 in

A = LW = (10)(6) in2 = 60 in2

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Answer:

A. y = 2.5(2)^x

Step-by-step explanation:

Given that when

x = 1, f(x) =  5

x = 2, f(x) =  10

x = 3, f(x) =  20

x = 4, f(x) =  40

x = 5, f(x) =  80

x = 6, f(x) =  160

Considering all the options

y = 2.5(2)^x

Substitute x = 1

y = 2.5(2)^1 = 2.5 *2 = 5

Substitute x = 2

y = 2.5(2)^2 = 2.5 * 4 = 10

Substitute x = 3

y = 2.5(2)^3 = 2.5 * 8 = 20

Substitute x = 6

y = 2.5 (2)^6

= 2.5 * 64

= 160

Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x

Answer:

4 ft 2 in.

Step-by-step explanation:

A door to a playhouse is 50 inches tall

we know that

1 in---------------> is 0.0833333 ft

so

50 in-------------> 50*0.0833333---------> 4.167 ft

4.167 ft----------> [4 ft+0.167 ft]

remember that

1 in---------------> is 0.0833333 ft

X in----------------> 0.167 ft

X=0.167/0.0833333----------> X=2 in

4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]

Answer:

$4.02

Step-by-step explanation:

Subtract $5.14 from $25.24.

$25.24-$5.14=20.10

Divide 5 and $20.10

20.10/5= 4.02

so each bag of apples costs $4.02

Answer:

A: 30

B: y=30x+14

Step-by-step explanation:

A

The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).

Let's use the points (0,14) and (2.2,80):

slope = (y2-y1)/(x2-x1)

= (80-14)/(2.2-0)

= 66/2.2

= 30

B

The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:

y=mx+c

14=(30)(0)+c

14=0+c

c=14

Therefore our equation is y=30x+14