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Dmitry [639]
3 years ago
5

Suppose a theater sells adult tickets for a Shakespearean play for $18.00 each, and children's tickets for $10.00 each. The rece

ipts for one evening total $960.00. If 64 tickets were sold, how many were adult tickets?

Mathematics
1 answer:
Mila [183]3 years ago
8 0
First, you have to set up a system of equations. You can see all of my work and explanation on the picture attached! The answer is 40 adult tickets. I hope this helped you!! :))

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A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the
allochka39001 [22]

Answer:

The receiver must be placed at a distance of 6.125 ft from the center.

Step-by-step explanation:

The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.

A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.

We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.

The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.

The extreme two end points becomes, (-7,2) and (7,2)

The general equation for such parabola is:

x² = 4ay

where, a is the distance from the center and the focus.

Since, (7,2) satisfy the equation so,

7² = 4a×2

a = 49 /8

Thus,

<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>

5 0
3 years ago
What’s the correct answer for this?
Mashutka [201]

Answer:

E:

Step-by-step explanation:

The equation of circles is

(x-a)²+(y-b)²=r²

Where

Center = (a,b) = (-6,-3) and r = 12

Now

The equation becomes

(x+6)²+(x+3)²=144

4 0
3 years ago
Write the following in decimal format:<br> 364<br> 1000
levacccp [35]
Answer: 3.64, 10.00

Step by step:
4 0
3 years ago
Please help! Especially with the steps!
wolverine [178]

Answer:a)680cu.ft

b)180cu.ft

Hope this helped you...

Step-by-step explanation:


8 0
3 years ago
Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the st
Helen [10]

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

7 0
3 years ago
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