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schepotkina [342]
3 years ago
8

At the movie theatre, child admission is $5.40 and adult admission is $8.70 . on friday, 159 tickets were sold for a total sales

of $1079.70 . how many adult tickets were sold that day?
Mathematics
1 answer:
blondinia [14]3 years ago
7 0
Alright this is gonna be a long one

Lets called child tickets x and adult tickets y 

so x + y should be equal to 159 since they said that the total sum of the tickets is 159 
so thats your first equation : x + y = 159

next form an equation using the prices, 
5.40x + 8.70y = 1079.70

now that you have your two equations, just substitute the first into the second (you could either substitute for x or y by saying x = 159-y or that y=159-x)

Hope this helps.
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2 years ago
Can someone help me with this problem
Naily [24]
<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

=================================================

Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| =  |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

----------------------------------------

In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

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3 years ago
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Help help ASAP! Can someone help me with the answer!
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3 years ago
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Katyanochek1 [597]

Answer:

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4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

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Answer:  this is our required factor i.e.

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Since we have given that

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a^3+b^3=(a+b)(a^2-ab+b^2)

So, we can use this here ,

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Hence this is our required factor i.e.

8z^3+27=(2z+3)(4z^2-6z+9)


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