The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?

I need a complete equation and step by step explanation showing the numbers, not how you did it.

The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

The polynomial function is given as:

[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]

Factorize the given expression.

[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]

Factor out x + 4

[tex]P(x) = (x^2 - 9)(x +4)[/tex]

Express 9 as the square of 3

[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]

Apply the difference of two squares

[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Read more about factorization at:

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Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

Answer:

86

Step-by-step explanation:

43 x 2=86

Answer:

1 and 2

Step-by-step explanation:

Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )

y=x^2-3x+2​

(we substitute y with zero)

0 = x^2-3x+2​

or in other way

x^2-3x+2​ = 0

Then we factor out the function by using the grouping method

(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)

and these two numbers are -2 and -1

x^2-3x+2​ = 0

*Substitute the middle term with -x-2x

x^2-x-2x+2​ = 0

*factor out x , then factor out -2

x(x-1)-2(x-1) = 0

*factor out x-2

(x-2)(x-1)=0

Either

x-2 = 0

So

x = 2

Or

x-1 = 0

So

x = 1

in conclusion the zeros of this function is 1,2

Answer:

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

Answer:

I think it might be the bottom right one but not sure

D = (7, -9)

E = (8, -10)

hope this helps!

Answer:

the answer is 2

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

Answer:

y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c

Step-by-step explanation:

Answer:

52 hours and 25 min

Step-by-step explanation:

2 1/2+45+4.75= 52.25

Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

Answer: 29 ft

Step-by-step explanation:

Says parking lot is a square.

Square root of 841 is 29

Answer:

Step-by-step explanation:

Ignore the 0,0 at the top of the paper but that should be the equation.

Answer:

[tex]52\frac{1}{4\\}[/tex] -  [tex]49\frac{4}{9}[/tex]  = [tex]\frac{101}{36}[/tex]

Step-by-step explanation:

First, we have to convert the mixed fractions to improper fractions

[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]

[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]

[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]

We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

Learn more about LCM here :

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Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

Answer:

8.50

Step-by-step

Answer:

6

Step-by-step explanation:

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

Answer: $62.40

Step-by-step explanation:

what is 20% of 156 ? 31.20

what is 156 - 31.2 ? 124.80

what is 124.8 / 2 ? 62.40

each ticket cost 62.40 dollars

Answer:

Part A:

LCM of 7 and 8 is 56.

7*8 = 56

-------------------------------------

Part B:

GCF of 54 and 81 is 27.

54: 1, 2, 3, 6, 9, 18, 27, 54.

81: 1, 3, 9, 27, 81.

-------------------------------------

Part C:

GCF of 54 and 81 is 27.

54 / 27 = 2

81 / 27 = 3

Final expression: 27(2 + 3)

Answer:

Part A: 56

Work:

7: 7, 14, 21, 28, 35, 42, 49, 56

8: 8, 16, 24, 32, 40, 48, 56, 64

Part B: 27

Work:

54: 54, 27, 9, 3, 1

81: 81, 27, 9, 3, 1

Part C: 27(2+3)

Work:

27×2 = 54    

27×3 = 81

(27×2)+(27×3) = 54+81

(27×2)+(27×3)=27(2+3)

Explaining work:

First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).

Answer:

Step-by-step explanation: 2x+4+=

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

Answer:

Step-by-step explanation:

Let the number is x

The sum: