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Dennis_Churaev [7]
3 years ago
10

Identify all of the expressions that result in a difference of 1\4 . A) 2\10 − 1\6 B) 3\4 − 1 4 C) 2\3 − 5\12 D) 7\8 − 3\12 E) 1

]2 − 1\4
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

The expressions that result in a difference of 1/4 are; Choice C) 2\3 − 5\12 and Choice E) 1/2 − 1\4

For Choice A; 2\10 − 1\6

  • = 6/30 -5/30

  • = 1/30

For Choice B; 3\4 − 1 4

  • = 2/4

  • = 1/2

For Choice C; 2/3 - 5/12

  • = 8/12 - 5/12

  • = 3/12

  • = 1/4

For Choice D;. 7\8 − 3\12

  • = 21/24 - 6/24

  • = 15/24

  • = 5/8

For Choice D; 1/2 − 1\4

  • = 2/4 - 1/4

  • = 1/4

In essence, the expressions that result in a difference of 1/4 are; Choice C) 2\3 − 5\12 and Choice E) 1/2 − 1\4

Read more;

brainly.com/question/10532785

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Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$78.73 to buy three t
likoan [24]

Average movie ticket cost in Japan = $17.23

Average movie ticket cost in Switzerland = $ 13.52

Step-by-step explanation:

Let <em>x</em> be the cost of movie ticket in Japan and <em><u>y</u></em> be the cost of movie ticket in Switzerland.

Given 3 ticket in Japan + 2 tickets in Switzerland = $78.73

              ⇒ 3<em>x</em> + 2<em>y</em> = 78.73 – – – – (1)

Given 3 ticket in Switzerland + 2 tickets in Japan = $75.02

              ⇒ 3<em>y</em> + 2<em>x</em> = 75.02

              ⇒ 2<em>x</em> + 3<em>y</em> = 75.02– – – – – (2)

Now, to solve (1) and (2), we multiply equation (1) by 2 and equation (2) by 3.

(1) × 2 ⇒       6<em>x</em> + 4<em>y</em> = 157.46 – – – – (3)

(2) × 3 ⇒       6<em>x</em> + 9<em>y</em> = 225.06 – – – – (4)

Subtract (3) from (4), we get

6<em>x </em>+ 9<em>y</em> – (6<em>x</em> + 4<em>y</em>)= 225.06 – 157.46

⇒ 6<em>x</em> + 9<em>y</em> – 6<em>x </em>– 4<em>y</em>= 67.6

⇒ 5<em>y</em> = 67.6

⇒ <em>y</em> = 13.52

Now substitute <em>y</em> = 13.52 in equation (1), we get,

(1) ⇒ 3<em>x</em> + 2(13.52) = 78.73

⇒ 3<em>x</em> = 78.73 – 27.04

⇒ <em>x</em> = 27.23

Hence, Average movie ticket cost in Japan is $27.23

Average movie ticket cost in Switzerland is $ 13.52.

4 0
3 years ago
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