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Nezavi [6.7K]
3 years ago
10

the movie house give away a $5 coupon for every 4 movies purchased. they give away a bag of popcorn for every 3 movies purchased

. how many movies will a person need to purchase before receiving a both a $5 coupon and a bag of popcorn at the same time?
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0

Answer: 12 movies

if they receive a coupon for every four movies, and a bag of popcorn for every three movies, you need to find the LCM (lowest common multiple) of the two numbers, which is 12.

OleMash [197]3 years ago
3 0

Answer:333

Step-by-step explanation:

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A board, 62 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 7 cm long
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The length of the shortest piece is 5cm.

Given that  the length of the board = 62cm

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Hence, according to the question,

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Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below. ~A(2,7) ~C(8,1) ~D(2,1
Vladimir79 [104]

Answer:

B' (16, 14)

Step-by-step explanation:

<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>

<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>

<em />

There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

<u>Midpoint of AC:</u>

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{2+8}{2},\frac{7+1}{2})\\=(5,4)

Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{x+2}{2},\frac{y+1}{2})

<em>Equate this to the midpoint of AC:</em>

<em>(x+2)/2=5</em>

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<em>x = 8</em>

<em />

<em>and</em>

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Thus, B(8,7)

<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>

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