4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I​

Answer:

square root of 16

Step-by-step explanation:

the square root of 16 is 4 and 4 times .5 equals 2

Answer:

13

Step-by-step explanation:

10(3)-3-5(2)-2(2)=13

Given :

One company buys a new bulldozer for $130800.

The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.

To Find :

The value of the Bulldozer, V, as a function of how many years old it is, t.

Solution :

Let, the equation is :

V = mt + c     .....1)

For, t = 0 years

V = m(0) +c  = $130800.00

c = $130800.00

For, t = 20 years

V = 20m + c = $19800.00

Putting value of c in above equation, we get :

20m +  $130800.00 = $19800.00

m = (19800.00-130800.00 )÷20

m = -5550

Putting value of m and c in equation 1, we get :

V = -5550t + 130800

Hence, this is the required solution.

Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

[tex]z = \sqrt{194}[/tex]

z = 13.93 miles

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]

Hope this helps you

Answer:

I think 50 (not too sure)

Step-by-step explanation:

First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)

Then find the volume of each chocolate which is 8. (2 ·2 ·2)

Then divide 400 by 8 to see how many chocolates can fit.

400 ÷ 8 = 50

And that's how I got the answer! Hope that helped! <3

Answer:

y=-3x-5

Step-by-step explanation:

y = mx+b

m= -11 - 1

       2 - -2

y=-3x+b

(-2,1) and (2,-11)

is

y=-3x-5

Hope this Helps:)

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.

Answer:

150000

Step-by-step explanation:

i use cal

Answer: Everyone would get about 7 pizzas

Step-by-step explanation:

I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.

Answer:

y = -x + 5 or  y = -1x + 5

you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk

Step-by-step explanation:

5 (6 - x) = 5 (1 + y)

30 - 5x = 5 + 5y

-5             - 5    

25 - 5x = 5y

5y = -5x + 25

5            5

y = -x + 5

Answer:

slope is 3

Step-by-step explanation:

10,17

7,8

8-17=-9

7-10=-3

-9/-3=3

Answer:

3x2 - x + 10 when x=-4 plug in -4 for x 3(-4)^2 -(-4)+10

3(16)+4+10

3x16= 48

48+4+10= 62

Suzie's work is incorrect because of her negative distributions

Step-by-step explanation:

Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the whole trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

Step-by-step explanation:

Hey there!

It's obvious that 4 and 4/1 are exactly same.

Reason: something divided by 1 is always a a number same in a numerator.

Example;

1. 7/1 = 7

2. 5/1 = 5

Hope it helps..

Answer:

34

Step-by-step explanation:

3+0.75(x-2)=0.5(x+20)

3+0.75 x-1.5=0.5 x+10

1.5+0.75x=0.5 x+10

0.75x+0.5x=10-1.5

0.25x= 8.5

0.25/25, 8.5/0.25

x=34

Answer:

The width of the rectangle is 8in

Step-by-step explanation:

Given parameters:

     Perimeter  = 44in

     Length  = 14in

Unknown:

Width of the rectangle  = ?

Solution:

The parameters given can be used to determine the unknown dimension;

        Perimeter of a rectangle  = 2 (L + W)

L is the length

W is the width

   Input the parameters and solve;

         44  = 2 (14 + W)

         44  = 28 + 2W

          2W  = 16

            W = 8in

The width of the rectangle is 8in

Answer:

25.28

Step-by-step explanation:

Answer:

25.28

Step-by-step explanation:

-2(7-y)+4= -4

-14+2y =-4-4

-14 + 2y = -8

2y = -8+14

y = 6/2

y = 3

Answer:

x=-12

are you okay???

Answer:

11

Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons

Answer:

I think is 11.4

.........

Answer:

f^-1(x) = -4 / x - 2

Step-by-step explanation:

First swap the x and y values. This is done by setting f(x) to x, and x to y.

f(x) = (2x - 4) / x → x = (2y - 4) / y

*Then solve for y like you would for a normal equation*

x = (2y - 4) / y

×y ×y

(multiplication property of equality)

*This will isolate the extra y term*

__________________________

xy = 2y - 4

-2y -2y

(subtraction property of equality)

*This is done to group the like terms together, because they both share a y term now*

_____________________________

xy - 2y = -4

| |

v v

( x - 2 )

(GCF)

*In this case the GCF is y because it is the factor held in common, reverse distributive property*

________________________________

y(x-2) = -4

÷(x-2) ÷(x-2)

(Division property of equality)

*This is the last and final step to isolate the y term completely, so we can find the inverse*

y = -4/x-2

*This is the inverse*

Now just set it in function form as an inverse:

y = -4/x-2 → f^-1(x) = -4/x-2

Answer: 5

Step-by-step explanation:

The ratio of the size increase is:

1:5

Now, multiply 1 and 5 to get the similarity ratio (also know as the scale factor):

1 • 5 = 5

Hope this helps!

No, the coordinates can not be the solution to find the answer. I know this because to find a slope-intercept equation you would need to have 2 coordinates. You would need 2 coordinates to first find the slope of the equation (m) in the equation y=mx+b.

Answer:

I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point

Answer:

y=10x+4

Step-by-step explanation:

Answer:

y=10x+4

Step-by-step explanation:

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

[tex]5(11)=55[/tex]

The triangle:

[tex]2(5)=10\\10/2=5[/tex]

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.