Thomas buys tickets for his family to see a movie.

He pays $37.50 for 2 adult tickets and 1 student ticket.
The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets.
What system of equations can be used to find the price of an adult ticket, a, and the price of a student ticket, s ?

Given:

In triangle HIJ, N is the centroid and [tex]HK=10[/tex].

To find:

The value of KI.

Solution:

In a triangle, the centroid of the triangle is the intersection of its medians.

Median of a triangle from a vertex divides the opposite side into two equal parts.

It is given that, N is the centroid. It means JK, HL and IM are the medians of the triangle HIJ.

Since JK is a median of the triangle HIJ, therefore it divides the opposite side IH into two equal parts.

[tex]KI=HK[/tex]

[tex]KI=10[/tex]

Therefore, the value of KI is 10 units.

Answer:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

Step-by-step explanation:

If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions

12x+24x +18 = 36x +24 -6

Combining like terms

36x+18 = 36x +18

Subtracting 36x from each side

18 = 18

This is always true so  it does not matter what x is, the left had side will equal the right hand side

Answer:

No, the poster would not fit in the frame

Step-by-step explanation:

A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.

A square is a quadrilateral in which all sides are equal.

Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:

Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²

Since the square frame has the same area as the rectangular frame, hence:

Area of square frame = length * length

length² = 1200

length = √1200 = 34.64

Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.

Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.

Answer:

[tex]m\angle 1 = 40^\circ[/tex]

Step-by-step explanation:

First, notice that the two lines are parallel as indicated by the arrow.

Therefore, by the Alternate Interior Angles Theorem:

[tex]\angle 1\cong \angle 2[/tex]

So:

[tex]m\angle 1 = m\angle 2[/tex]

Substitute:

[tex](2x+20)=(3x+10)[/tex]

Solve for x. Subtract 2x from both sides:

[tex]20=x+10[/tex]

And subtract 10 from both sides:

[tex]x=10[/tex]

We know that:

[tex]m\angle 1 = 2x+20[/tex]

Substitute. Hence:

[tex]m\angle 1 =2(10)+20=40^\circ[/tex]

Step-by-step explanation:

janine is running 10 kilometer per 60 minutes

means janine runs 1 km in

=60/10

=6

since,Janine runs 1 km per 6 minutes

how much time does janine takes to run 15 km

=15 ×6

=90

Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

First, label the vertices figure as shown below.

In triangle ABC and DBA,

[tex]\angle BAC\cong \angle BDA[/tex]         (Right triangles)

[tex]\angle ABC\cong \angle DBA[/tex]         (Common angle)

[tex]\triangle ABC\sim \triangle DBA[/tex]         (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional.

[tex]\dfrac{BC}{BA}=\dfrac{AB}{DB}[/tex]

Substituting the given values from the below figure, we get

[tex]\dfrac{x}{8\sqrt{3}}=\dfrac{8\sqrt{3}}{12}[/tex]

[tex]x=\dfrac{8\sqrt{3}}{12}\times 8\sqrt{3}[/tex]

[tex]x=\dfrac{192}{12}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16 and correct option is B.

Answer:

[tex]{ \tt{base = \sqrt{ {23}^{2} - {16}^{2} } = 16.5 \: cm}} \\ area = \frac{1}{2} \times base \times height \\ area = \frac{1}{2} \times 16.5 \times 16 \\ { \tt{area = 132 \: {cm}^{2} }}[/tex]

Answer:

12 =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

7.2 ^2 + 9.6 ^2 = c^2

51.84+92.16= c^2

144 = c^2

Taking the square root of each side

sqrt(144) = sqrt(c^2)

12 =c

Answer:

Let's find the hypotenuse.

7.2^2 + 9.6^2

51.84 + 92.16 = 144

√144(square root of 144) = 12, c = 12

Answer:

b

Step-by-step explanation:

edge 2021

The solution is:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of f^-1(x) and the range of  f(x) will be the domain of f^-1(x)

As can be seen from the attached photo,  

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> f^-1(x) range is y≥ 1.

Therefore, we choose answer B

To learn more on function click:

brainly.com/question/21145944

#SPJ3

complete question:

Which answer pairs a possible domain restriction for f(x) and its corresponding impact on f-1(x)

Answer:

26.67

Step-by-step explanation:

8 x 5 x 2/3 = 80/3 = 26.67

Answer:

T(c) = 100 + 3*c

Step-by-step explanation:

cost = fee + cost per chair * number of chairs

T(c) = 100 + 3*c

Answer:

T ( c)= $ 100 + $ 3 c

Step-by-step explanation:

Given that :-

To Find :-

Solution :-

Total Cost, T ( c) = Fee + cost per chair × no. of chairs.

T ( c) = $ 100 + $ 3 × c

T ( c) = $ 100 + $ 3 c

Answer:

The quotient of n and 6 is n/6, as quotient means divide.

for example, if it was "the quotient of 24 and 6", it would be 24/6, which is 4.

Answer:

b=4  c=7

Step-by-step explanation:

I think not positive

Answer:

453+557 = 1010

hence b is 5 and c is 3

Answer: 153.94

Step-by-step explanation: Formula for area of a circle: pi * r^2

First find the radius by dividing the diameter by 2: 14/2 = 7

Then plug the radius, 7, and pi, 3.14, into the formula:

(3.14) * (7^2) = 153.94 inches squared

Answer:

1/18

Step-by-step explanation:

There are 2 x 3 x 3 = 18 combinations of coffee.  Only one is large, iced and

hazelnut

So, the probability is 1/18

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Answer:

Hello! answer: c = 4

Step-by-step explanation:

triangle area formula: base × height ÷ 2 or base × height × 1/2

6 × 4 = 24

24 ÷ 2 = 12 therefore c = 4 Hope that helps!

Answer:

1 and 2 are equivalent

For 1 , use distributive property. Distribute 5 to a and 3. 5 x a = 5a, and 5 x 3 = 15. Therefore, 5a + 15. This is why 1 is equivalent to number 2.

Answer:

27cm²

Step-by-step explanation:

it should be the area of rectangle..

Answer:

Step-by-step explanation:

27 sq cm

Answer:

Cada garrafa tiene una capacidad de 24 litros.

Step-by-step explanation:

Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.

Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:

(20%/100%)*V

Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:

(30%/100%)*V

El volumen total de agua es la suma de esos dos volúmenes, que nos da:

(20%/100%)*V + (30%/100%)*V

Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:

12 L = (20%/100%)*V + (30%/100%)*V

Ahora podemos resolver esto para V.

12L = 0.2*V + 0.3*V

12L = 0.5*V

12L/0.5 = V

24L = V

Cada garrafa tiene una capacidad de 24 litros.

the function of this answer b

9514 1404 393

Answer:

  510 cm³

Step-by-step explanation:

The overall height of the front face is 9+2 = 11 cm.

The overall width of the front face is 6+4 = 10 cm.

Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.

Then the area of the front face is ...

  (11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²

The volume of the prism can be found using the formula ...

  V = Bh

where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...

  V = (102 cm²)(5 cm) = 510 cm³

The volume of the prism is 510 cm³.

Answer:

2,3 and -1,7

Step-by-step explanation:

Answer:

Omsk internet pra mim é um vídeo de um dia

Answer:

D.

Step-by-step explanation:

8 * 4 = 32 and 14*4=56 cm therefore the perimeter is scaled 4x larger.

tomorrow* not tomarrow.