Donna purchases 10 tickets to a state fair.

• She purchases 4 adult tickets for $48.

• The remaining tickets are child tickets, for which she pays a total of $42.

What is the ratio of the price of one adult ticket to the price of one child ticket?



A.
2 to 3

B.
4 to 3

C.
8 to 7

D.
12 to 7

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

Answer:

y + 14 = 3/5(x + 6)

Answer:

c bye  have a good day

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

10% i think

Answer:

71 miles in 1 hour

Step-by-step explanation:

divide the total amount of miles by the total amount of hours: 335/5

you get 71 mph

Answer:

71 miles per hour

Step-by-step explanation:

355 divided by 5 is 71

71 x 5 = 355

355 divided by 71 is 5

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

Answer:

its c i took the test trust me

Step-by-step explanation:

Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

Answer:

The answer is A

Step-by-step explanation:

Camie: $5x + $50 = $55 ( for now/i think)

Jorge: $7x

The  equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

The correct option is (A)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

Camie saves $5 per week plus $50 she receives for her birthday.

Jorge saves $7 per week.

Now, Jorge have to achieve the same amount as Camie.

let w be the number of weeks.

Then equation can be represented as

7w = 5W + 50

Here 7w is amount by Jorge and 5W + 50 is amount of Camie.

Hence, the equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Answer:

vertical line

Step-by-step explanation:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.

Answer:

the answer is b

Step-by-step explanation

Answer:

measure of angle 2 and angle 3 are both 97

Step-by-step explanation:

angle 2 and angle 3 are vertical angles

Answer:

∠Q, ∠P, ∠R

From largest to smallest.

Step-by-step explanation:

Remember that the largest side is always opposite from the largest angle.

26 is the longest side. The angle opposite is 26 is ∠Q. So, ∠Q is the largest angle.

21 is the second longest side. ∠P is the angle opposite to 21. So, ∠P is the second largest angle.

Finally, 17 is the shortest side and ∠R is opposite to 17.

So, ∠R is the smallest angle.

Therefore, the measures of the angles from biggest to smallest is:

∠Q, ∠P, ∠R

Answer:

24units

Step-by-step explanation:

2(4y + 3) + 2(5y - 1) = 94

18y + 4 = 94

y = 5

WX = 5y - 1 = 5(5) - 1 = 24units

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First we need to find the value of y .

[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]

[tex]Perimeter = 2 \times (9y + 2)[/tex]

[tex]Perimeter = 18y + 4[/tex]

Question told us that perimeter is 94 ,

Thus :

[tex]94 = 18y + 4[/tex]

[tex]18y + 4 = 94[/tex]

Subtract sides 4

[tex]18y + 4 - 4 = 94 - 4[/tex]

[tex]18y = 90[/tex]

Divide sides by 18

[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]

[tex]y = 5[/tex]

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The face sides in the rectangular are same.

Thus :

[tex]VY = WX[/tex]

So ;

[tex] WX = 5y - 1[/tex]

[tex]WX = 5(5) - 1[/tex]

[tex]WX = 25 - 1[/tex]

[tex]WX = 24[/tex]

Done...

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Answer:

90.6

Step-by-step explanation:

that what i think and thanks

(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate is 1.2 units per second.

(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:

[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)

Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.

If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:

[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]

[tex]\frac{dy}{dx} = 4[/tex]

And the slope of a line normal of a curve is:

[tex]m_{\perp} = -\frac{1}{4}[/tex]

By definition of secant curve we calculate the remaining coordinate of the point Q:

[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)

Where:

If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:

[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]

[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]

[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]

[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]

[tex]x = 21[/tex]

The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:

[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]

[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]

[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]

[tex]y = 6\cdot \ln u[/tex]

[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]

And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:

[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]

[tex]C = -1.592[/tex]

The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:

[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)

If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:

[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]

[tex]\frac{dy}{dt} = 1.2[/tex]

The rate of increase of the y-coordinate is 1.2 units per second.

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

i). The coordinates of Q is equal to:

[tex](x,y) = (21, 0)[/tex]

ii). The equation of the curve is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate when x = 1:

[tex]1.2 units[/tex] per second

i). Using analytical geometry,

[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.

[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.

Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-

-1/4 = (0-5)/(x - 1)

∵[tex]x = 21[/tex]

Thus, the coordinates of y = (21, 0)

ii). Through isolating the variables and employing integration:-

[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]

by integration and integration constant (1,5), the equation is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate:

[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]

∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]

Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.

Learn more about "Co-ordinates" here:

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Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

Can confirm, it’s a=16.23 and b=17.99

Answer:

k squared minus 4/ A

Step-by-step explanation:

took the test

Answer:A. k squared minus 4

Step-by-step explanation:

Answer:

{5, 15, 19}

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the lengths of any two sides of a ∆ must be greater than the length of the third side.

Thus, any of the given sets of numbers will represent the 3 sides of a ∆, if the following condition is satisfied:

a + b > c

b + c > a

a + c > b

Where a and b are the smaller side lengths, and c is the length of the longest side.

Let's check each set of numbers given to see if any satisfies this condition.

✍️Option 1: {6, 20, 28}

6 + 20 is not greater than 28

20 + 28 > 6

6 + 28 > 20

❌This set of numbers does not represent the sides of a ∆.

✍️Option 2: {4, 11, 15}

4 + 11 = 15

11 + 15 > 4

4 + 15 > 11

❌This set of numbers does not represent the sides of a ∆.

Option 3: {9, 19, 30}

9 + 19 is not greater than 30

19 + 30 > 9

9 + 30 > 19

❌This set of numbers does not represent the sides of a ∆

Option 4: {5, 15, 19}

5 + 15 > 19

15 + 19 > 5

5 + 19 > 15

✅This set of numbers does not represent the sides of a ∆

Only option 4, satisfied the condition stated earlier, therefore, based on the triangle inequality theorem, {5, 15, 19}, is the set of numbers that represents the 3 sides of a triangle.

Answer:

9.62162162162

Step-by-step explanation:

Use a calculator dude

Answer:

7 3

Step-by-step explanation:

Answer:

6n-10 >= 2+2x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x - 10 ≥ 2x + 2                  Subtract 2x from both sides

6x-2x - 10 ≥ 2x - 2x +2       Combine

4x - 10 ≥ 2                           Add 10 to both sides

4x - 10+ 10  ≥ 2 + 10            Combine

4x ≥ 12                                Divide by 4

4x/4   ≥   12/4                      Combine

x ≥ 3

Answer:

8xy im pretty sure

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

27686+05446535

gfytf+ wtdf gufyhfedhe. b1+3533

Answer:

a= -5/8

b= -4/7

c= -2/5

Step-by-step explanation:

8a + 5 = 7b + 4 =5c + 2

I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.

Therefore, to find the value of a,

8a+5=0

8a= - 5

a= -5/8

7b + 4=0

7b = - 4

b= -4/7

5c + 2=0

5c= - 2

c= -2/5

Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5

Answer:

Step-by-step explanation:

4x + 6x + y = 180

6x + y = x + 5y

10x + y = 180 ........... (1)

5x - 4y = 0 .............. (2)

(1) - 2 × (2)

y + 8y = 180 ⇒ y = 20

6x + 20 = x + 100 ⇔ 5x = 80 ⇒ x = 16

64° , 116°