At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

Answer:

19

Step-by-step explanation:

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

Answer:

[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]

Step-by-step explanation:

Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .

So , let us take that the video game costs x . There can be two cases .

★ Case 1 :-

When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .

[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]

[tex]\rule{200}2[/tex]

★ Case 2 :-

When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .

If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,

[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]

Answer:

Tarda 5 minutos

Step-by-step explanation:

En un minuto baja a -2°C, en dos minutos baja a -6°C, en tres minutos baja a -10°C, en cuatro minutos baja a -14°C, en cinco minutos baja a -18°C

ESPERO TE AYUDE ;)

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

Answer:

$114.80

Step-by-step explanation:

108 increase 6.3% =

108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804

Answer: this is easy put attention to your teacher

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

182-140=42(increase)

increase ÷ original × 100 %

= 42÷140×100%

=30%

The percentage increase from the old number to new number is 30 percent.

Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.

We know that, percentage increase = (New Number - Original Number)/Original Number ×100

= (182-140)/140 ×100

= 42/140 ×100

= 4200/140

= 30%

Therefore, the percentage increase is 30 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

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three thousand four hundred thirty-four and three hundred thirty-two thousandths

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

Answer:

56 square feet

Step-by-step explanation:

If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.

You end up with one rectangle that is

8x4

and a second thats

4x6.

The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)

Thus

32 + 24 = 56 square feet

Answer:

32 + 24 = 56 square feet

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

pattern is adding 6

so the 11th would be 67

We can write the given statement as expression -

- 5 + (1/2)x = 3

Given is the statement -

"-5 increased by one-half of a number is a maximum of 3"

We can write it as an expression -

- 5 + (1/2)x = 3

Therefore, we can write the given statement as expression -

- 5 + (1/2)x = 3

To solve more questions on expression evaluation, visit the link below -

brainly.com/question/1041084

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Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

Answer:

at week 5 the higth is 6.5

Step-by-step explanation:

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

Answer vary :

C. 10

Step-by-step explanation:

at least in my opinion I think so.

Answer:

C i think

you can you use 10 nickels

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)