Write an equation of the line in slope-intercept form.

Answer:

It would cost the Lopez family $102.00 to go to Sealand

Step-by-step explanation:

Assume that the cost of each adult ticket is $x and the cost of each child ticket is $y

∵ The adult's ticket costs $x

∵ The child's ticket costs $y

∵ The Douglas family is charged $72.00 for 2 adult and 3 child tickets

∴ 2x + 3y = 72 ⇒ (1)

∵ The Williams family was charged $78.00 for 1 adult and 5 child tickets

∴ x + 5y = 78 ⇒ (2)

Let us solve the system of equations to find x and y

→ Multiply equation (2) by -2 to make the coefficients of x equal in

   values and different in signs

∵ -2(x) + -2(5y) = -2(78)

∴ -2x + -10y = -156 ⇒ (3)

→ Add equations (1) and (3) to eliminate x

∵ (2x + -2x) + (3y + -10y) = (72 + -156)

∴ -7y = -84

→ Divide both sides by -7 to find y

∴ y = 12

→ Substitute the value of y in equation (1) or (2) to find x

∵ x + 5(12) = 78

∴ x + 60 = 78

→ Subtract 60 from both sides

∴ x + 60 - 60 = 78 - 60

∴ x = 18

∴ The cost of each adult ticket is $18 and the cost of each child ticket

   is $12

∵ Lopez family has 3 adults and 4 children

∴ The cost of the tickets = 3(18) + 4(12) = 54 + 48

∴ The cost of the tickets = 3(18) + 4(12) = 102

∴ It would cost the Lopez family $102.00 to go to Sealand

i think it might be

. .. ... ....

or

. ..

Answer:

Step-by-step explanation:

statement-reason

DE=BC     - given

Angle 1= Angle 2 - given

Angle 2= Angle 3 - corresponding angles

Angle 1= Angle 4 - corresponding angles

Triangle ADE is congruent to Triangle ABC by AAS

therefore AB= AC

Q.E.D.

Answer: b

Step-by-step explanation: I took the test

The probability of obtaining a 6 and a head is 1/12 if Maureen rolls a fair dice and flips a coin.

It is a likeliness of happening an event. It lies between 0 to 1 .

Probability= Number of events/number of outcomes

When Maureen rolls a fair dice then probability of obtaining a six is 1/6

When Maureen flips a fair coin then probability of obtaining a head is 1/2

So the probability of obtaining a six and a head is 1/6*1/2

=1/12

Hence the probability of obtaining a six and a head is 1/12

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Answer:

The equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

i.e.

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

Step-by-step explanation:

Considering the function

[tex]sin\left(180^{\circ }+x\right)[/tex]

Solving

[tex]sin\left(180^{\circ }+x\right)[/tex]

Using the angle sum identity:

[tex]\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)[/tex]

[tex]=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)[/tex]

as

[tex]\cos \left(180^{\circ \:}\right)=\left(-1\right)[/tex]

[tex]\sin \left(180^{\circ \:}\right)=0[/tex]

so

[tex]=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)[/tex]

[tex]=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)[/tex]

[tex]=0-1\cdot \sin \left(x\right)[/tex]

[tex]=0-\sin \left(x\right)[/tex]

[tex]=-\sin \left(x\right)[/tex]

So, the equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

Therefore:

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

Answer:

Step-by-step explanation:

h=V/lw

Answer:

inverse variation

Step-by-step explanation:

Answer:

If you are asking for the slope

Step-by-step explanation:

m = 40

Answer:

i think the 3 one

Step-by-step explanation:

Responder:

Explicación paso a paso:

Paso uno:

datos dados

el costo de un metro de cinta tricolor = $ 15.5.

se nos dice que un lazo necesitará 3,5 m de cinta, ya que tu madre hizo dos lazos, usó un total de 3,5 * 2 = 7 m de cinta

Segundo paso:

ahora calcularemos el dinero que gastó su madre.

si 1 m le costará $ 15.5

entonces 7 millones le costarán $ x

Cruz multiplicar tenemos

x = 15,5 * 7

x = $ 108.5

Esto significa que tu madre gastará $ 108.5 para hacerte los dos moños.

Queremos saber cuanto pagó mamá dado que conocemos cuantos metros de listón utilizo y cuanto cuesta el metro. Veremos que mamá pagó $54.25 por el listón.

Sabemos que cada metro del listón cuesta $15.50.

Tambien sabemos que mamá utiliza 3.5 metros de este listón, entonces el precio será 3.5 veces el precio del metro de liston, que es $15.50, esto se calcula como:

3.5*$15.50 = $54.25

Es decir, mamá pagó $54.25

Sí quieres aprender más, puedes leer:

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Answer:

5 1/8 feets

Step-by-step explanation:

Given that:

PLAN A:

Length of post = 4.25 feets

Post must be 7/8 feets below the ground

Height of fence in PLAN A :

Converting 4.25 feets to decimal :

4.25 feets = 4 feets + 0.25 feets

0.25 feets = 1/4 feets

4 + 1/4 feets = 4 1/4 feets

4 1/4 feets + 7/8 feets

17 /4 feets + 7 /8 feets = [(34 + 7) / 8] feets

[(34 + 7) / 8] feets = 41/ 8 feets

41 / 8 feets = 5 1/8 feets

Answer:

160

Step-by-step explanation:

It is given that, the ratio of student tickets to adult tickets sold is 4:3. Let students tickets is 4x and adult tickets is 3x.

Total no of tickets = 280

ATQ,

4x+3x=280

7x = 280

x = 40

Students ticket = 4x

= 4(40)

= 160

So, 160 students ticket is sold by Kiona.

Answer:

v = 3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

A BODMAS rule states that inter mathematical expressions should be solved in the order of BODMAS from left to right.

[tex]\to 64 \div (15 - 7) \times 2 - 9 \\\\\to \frac{64}{ (15 - 7)} \times 2 - 9\\\\\to \frac{64}{8} \times -7\\\\\to 8-7\\\\\to 1[/tex]

Therefore, the final answer is "1".

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Answer: 80

Step-by-step explanation:

100+80 =180

Answer:

The answer is 80° :)

Hope it helps you

Answer:

A. -3

Step-by-step explanation:

(4) - (-2) = 6

(-1) - (1) =  -2

6/-2

/2

-3

Answer:

-[tex]\frac{8}{7}[/tex]

Step-by-step explanation:

-9x+4y=8

-3x-y=4

Multiple the entire second equation by 4

-12x-4y=16

-9x+4y=8

__________

-21x=24

divide each side by -21 and simplify

x= -[tex]\frac{8}{7}[/tex]

Answer:

the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer

Step-by-step explanation:

Answer:3,140

Step-by-step explanation:

Answer:

e4rf

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

they are not perpendicular and the answer is -10

Answer:

3

Step-by-step explanation:

When 2 lines are parallel, they have the same slope. Since m║n, the slope of m will be equal to the slope of n.

The required slope of line n which is parallel to line m is 3. Option D is correct.

Given that,
If m ∥ n and the slope of line m is 3, what is the slope of line n is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of line state that, when lines are parallel to each the than the angle of inclination or slope of all the parallel lines are equal.
So, in given condition Line m is parallel to line n implies the slope of line m and n are equal.

Thus, the required slope of line n which is parallel to line m is 3.

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Answer:

The Second Step.

Step-by-step explanation:

We are given the original equation:

[tex]12(5+2y)=4y-(5-9y)[/tex]

In her first step, Clare distributed both sides:

[tex]72+24y=4y-5-9y[/tex]

There are two errors:

First, the product of 5 and 12 is 60 and not 72.

Second, on the right-hand side of the equation, the negative must be distributed to all terms. Hence, the correct result should be:

[tex]\displaystyle 60 + 24y = 4y - 5 + 9y[/tex]

Instead of what she had obtained.

Answer:

75 litres of Blue

Step-by-step explanation:

Divide the amount of yellow liters by 3, you'll get 15. To get the amount of blue needed, you multiply 5 by 15.

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

Answer:

Scatter plots

Pie graph

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in words