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katovenus [111]
2 years ago
10

Fourteen school festival tickets were sold to adults and children. A total of $38 was collected from these ticket sales. Adult t

ickets cost $4 each, and child tickets cost $1 each. If x represents the number of adult tickets sold and y represents the number of child tickets sold, which of the following systems of equations represents this situation?
A. x + y = 38
4x + y = 14

B. 4x + y = 38
x + y =14

C. 2x + y = 14
y - x = 38

D. x + 2y = 14
y - 2x = 38​
Mathematics
1 answer:
spayn [35]2 years ago
8 0

Answer:

A

Step-by-step explanation:

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Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′
worty [1.4K]

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

(x',y') = (-x,y) (Eq. 1)

ii) Translation three units in the -y direction:

(x'',y'') = (x', y'-3) (Eq. 2)

iii) Translation four units in the -x direction:

(x''',y''') = (x''-4, y'') (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) D(x,y) = (-1, 4) Given.

2) (x',y') = (1,4) By (Eq. 1)

3) (x'',y'') = (1, 1) By (Eq. 2)

4) D'(x,y) = (-3,1) By (Eq. 3)/Result

7 0
2 years ago
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Lisa [10]

Answer:

The third exterior angle is 103^o

Step-by-step explanation:

Given

\theta = 158^o

\alpha = 99^o

Required

The third exterior angle (\beta)

The exterior angles of a triangle add up to 360 degrees.

So:

\theta + \alpha + \beta = 360^o

Make \beta the subject

\beta = 360^o - (\theta + \alpha)

Substitute known values

\beta = 360^o - (158^o + 99^o)

\beta = 103^o

4 0
3 years ago
Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz
Arte-miy333 [17]

The equation for Louis's purchase is: x+y=8

The equation for Kate's purchase is: y+z=9

The equation for Biff's purchase is: x+y+z=13.50

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

x+y=8

"Kate purchased a slice of pizza and soda for $9"

y+z=9

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

x+y+z=13.50

The equation for Louis's purchase is: x+y=8

The equation for Kate's purchase is: y+z=9

The equation for Biff's purchase is: x+y+z=13.50

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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3 years ago
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il63 [147K]

Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

7 0
2 years ago
Read 2 more answers
1-8 please help<br> Me fast if possible
Anastasy [175]

#1 is y=1 ill give you the others in a min.

5 0
3 years ago
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