At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?

Adult: Child:

Answer: 12.60 per CD

Step-by-step explanation:

Tax 0.80 * 3 = 2.40

40.20 - 2.40 = 37.80

37.8 / 3 = 12.60

Step-by-step explanation:

Approach: If four numbers a, b, c and d are in proportion then a:b = c:d. The solution is to sort the four numbers and pair up the first 2 together and the last 2 together and check their ratios this is because, in order for them to be in proportion, the product of means has to be equal to the product of extremes.

Answer:

x = 50.5°

Step-by-step explanation:

Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.

cos(x) = 14/22

cos^-1 (14/22) = 50.5°

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20  

Then average speed from his parents' x

And the distance is S=96

Then we know :

[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]

Justin's average speed to his parents' house:  x= 40mph

Justin's average speed from his parents' house:  x+20=60 mph

Answer: Bottom right corner (southwest corner)

Explanation:

Plug in x = 0 to find that

[tex]f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\[/tex]

This shows that the y intercept is (0,4).

Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.

Lotion - liquid

Suspension- semisolid

Capsule- Solid

Hope this helps :)

Answer:

D. y + 9 = –2(x – 10)

Step-by-step explanation:

GradPoint answer

I also got the answer correct on the quiz.

Answer:

8.) ans {e}

9.) ans {j, u, d, g}

10.) ans {j, u, d, g, m, e, n, t, a, l}

Answer:

[tex]\sf\longmapsto \: x = 9[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 20 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 18[/tex]

[tex]\sf\longmapsto \: x = \frac{18}{2} [/tex]

[tex]\sf\longmapsto \: x = 9[/tex]

Hello there! :)

2x=20-2

2x=18

Divide both sides by 2 to isolate x:

x=9

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

25

have a great day! :3

Answer:

Hello again the square root of 625 is 25

Answer:

All i got was 3√23+4x−96

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

7y-20=3y+12

7y-3y=12+20

4y/4=32/4

y=8

Answer:

7y-3y=12+20

4y=32

y=8

that's it. i don't know why I need 20 max character to submit

The answer is A. x= [tex]\pi[/tex]/4 +2[tex]\pi[/tex]n

Answer:

the general solution has answer

2nπ+π/4

Answer:

2.428 is the answer....

[tex] = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } [/tex]

hope it helps

see the attachment

Answer:

x=5

Explanation:

y∝1x∴y=k⋅1x∴x⋅y=k;

When x=4;y=10∴4⋅10=kork=40.

So variation equation is x⋅y=40

When y=8;x=408=5∴x=5 [Ans]

Step-by-step explanation:

not surre

Answer:

6.67

Step-by-step explanation:

10=4

y=6

10×4/6

Answer: written below

Step-by-step explanation:

1 hour time 40 miles/ hour =1*40=40miles

0.5 *70=0.5*70=35 miles

40+35=75 miles

60 minutes+30 minutes= 90 minutes or 1 1/2hours

Answer:

Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.

Step-by-step explanation:

you would get 0.97 by dividing 97 by 100.

Answer:

I do lol

Step-by-step explanation:

Answer:

why would you wanna do someone's homework on Math and English?

Step-by-step explanation:

they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.

and you will also make yourself tired doing someone's homework what about your responsibilities?

It'll be only beneficial for you but not for them yeah you'll get money but its best if you let them do their homework. I mean homework's aren't that bad.

They just think they can't do it cause their lazy, and they think they wouldn't know the answer. Besides they can't just lay around all day because they paid you for doing their homework, they won't even know if your scamming them.

Answer:

So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.

So for 3.25 and 3 1/2

3 1/2 is greater

3.25 < 3 1/2 (so it should look like this when the symbol on that side)

and for -4.5 and -4.05

-4.05 is greater.

-4.5 < -4.05  (so the symbol is also on that side.)

[tex] = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps[/tex]

Answer:

$119.49 (rounded to the nearest cent.)

Answer: 119.4933333 would be the actual answer but rounded to the nearest cent it would be 119.49

89.62/3 = 29.8733333....... 89.62 + 29.8733333 = 119.4933333

Answers:

4. =9.999........

Examplantion :

5×2÷3=9.99999..........

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Expanded Notation Form:

 203,574 =

 200,000  

+ 0  

+ 3,000  

+ 500  

+ 70  

+ 4  

Expanded Factors Form:

   203,574 =

 2 × 100,000  

+ 0 × 10,000  

+ 3 × 1,000  

+ 5 × 100  

+ 7 × 10  

+ 4 × 1  

Expanded Exponential Form:

 203,574 =

2 × 105

+ 0 × 104

+ 3 × 103

+ 5 × 102

+ 7 × 101

+ 4 × 100

Answer:

1:2

Step-by-step explanation:

QRS is double the size of TUV

Given :-

To find :-

Solution :-

Common difference ,

As we know that ,

Answer:

30th

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 13 and d = 11 , then

[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306

11n - 24 = 306 ( add 24 to both sides )

11n = 330 ( divide both sides by 11 )

n = 30

The 30th term is 306

Answer:

12x15=100

Step-by-step explanation:

Its times because I know it