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Verdich [7]
3 years ago
8

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets

to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

Divide the 1st equation by 2

a + 2c = 19

Divide the 2nd equation by 3

a + c = 13.5

Subtract the 1st equation and the 2nd equation

c = 5.5

Substituting back into the 2nd equation will give:

a + 5.5 = 13.5

a = 8

Step-by-step explanation:

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First you compare the denomonators and see if they have any common multiples, then what you do to one side you do to the other so you multiply so you get the same number on both denomonators.finally you multipybthe same number you did ti he botto. to the top.p.s. your welcome
4 0
3 years ago
Please answer both questions and Show Work... I will mark you brainliest and give you five starts
netineya [11]

Answer:

Step-by-step explanation:

For each problem you need to make sure that the angles are the same.

So x + 22 = 90

x = 90 -22 = 68 degree

For the second problem

7x + 10 = 8x

10 = 8x -7x

x = 10 degree

7 0
2 years ago
(x-1)(x-3)(x+5)(x+7)=297
mihalych1998 [28]

First simplify the expression into polynomial form,

(x-1)(x-3)(x+5)(x+7)=297

x^4+8x^3-10x^2-104x+105=297

x^4+8x^3-10x^2-104x-192=0

Now factor into,

(x-4)(x+8)(x^2+4x+6)=0

Which means the solutions are,

x-4=0\implies\boxed{x_1=4}

x+8=0\implies\boxed{x_2=-8}

and then two complex solutions because determinant of the third factor D\lt0,

x^2+4x+6=0

x^2+4x+4=-2

(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Describe the transformation in the figure below
Keith_Richards [23]

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

Pre-image(x,y)\rightarrow Image(x,-y)

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

(0,2),(4,5),(6,2)

Points of image triangle

(0,-2),(4,-5),(6,-2)

Thus, the transformation is reflection.

3 0
3 years ago
 The table below lists the median heights (in cm) of girls from ages 2 to 10. Find an equation for the line of best fit.
vovangra [49]

Answer: Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

4 0
3 years ago
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