Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

Answer:

4

Step-by-step explanation:

7+2x/3=5

7+2x. = 15

2x. =8

x. = 4

i hope it is helpful

Answer:

[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]

Answer:

ypotenuse squared = adjacent squared + opposite squared

Step-by-step explanation:

sin θ =opposite/hypotenuse

tan θ = opp/adjacent

cos θ = adj/hyp

Pythagoras Theorem states that hypotenuse squared = adjacent squared + opposite squared

Answer:

8.7

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

the sides are 1 red line, which means congruent.

Since they are congruent, DF~=EG, which means that EG is 8.7

Hope this helps plz hit the crown :D

Answer:

True

Step-by-step explanation:

This is true because these tables represent inverses of each other. I think.

Answer:

STTU either means Specialized Tactical Training Unit  or Surrounding Thyroid Tissue Uptake

Step-by-step explanation:

ST and TU are typically used to measure a line and/or angle in a triangle or shape. This is true because I've seen it multiple times.

May I have brainliest please? :)

Answer:

[tex]( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}[/tex]

Answer:

-12/5

Step-by-step explanation:

2 and 3/5 can be changed to 13/5

multiply -4 by 3/5 to get -12/5

Answer:

The answer is D. 20%

Answer:

30

Step-by-step explanation:

490= 400 + 3x

3x=90

x=30

Answer:

Not linear

Find the degree of the equation to determine if linear.

Answer:

m= -2/3

Step-by-step explanation:

Use the slope formula to find the slope m .

Answer:(4x2+9)(4x2-9)=0

Step-by-step explanation:(4x2+9)(4x2-9)=0

Your welcome

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

Answer: 40

Step-by-step explanation:

All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.

Answer:

There would be 40

Step-by-step explanation:

Given: It is given that the length of the painting is 24 inches and the width is  11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

[tex]\text{Area of painting}=l\times b[/tex]

[tex]\text{Area of painting}=24\times 11[/tex]

[tex]\text{Area of painting}=264 \text{ in}^2[/tex]

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

[tex]\text{Area of painting with mat}=30\times 17[/tex]

[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]

[tex]\text{Area of mat}=510-264[/tex]

[tex]\text{Area of mat}=246 \text{ in}^2[/tex]

Hence, the area of the mat is 246 in².

Answer:

s = 2

Step-by-step explanation:

6 x 2 = 12

12 - 4 = 8

Answer:

AC, AB, BC

Step-by-step explanation:

3x-13+2x-20+x+15=180

6x-18=180

6x=198

x=33

<a 86

<b 46

<c48

Answer:

12-14w

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total cups of batter = 20

He uses 4 cups for cake and the rest for cupcakes

Number of cupcakes is:

Answer:

its the second option.

Step-by-step explanation:

Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

Answer:

D

Step-by-step explanation:

Quadrant II is the top right corner.  Both of the values are positive there so the only correct answer is D.

Hope this helps!