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suter [353]
3 years ago
6

Find x. 6.5 cm x 2.5 cm Y= cm

Mathematics
1 answer:
Talja [164]3 years ago
6 0

9514 1404 393

Answer:

  x = 6.0 cm

Step-by-step explanation:

The ratio of the given dimensions is 2.5/6.5 = 5/13. This should give you a clue that the dimensions here are all half those of the (5, 12, 13) Pythagorean triple. That is, ...

  x = 12/2 = 6 . . . cm

__

In case you haven't memorized a few of the Pythagorean triples commonly used in algebra problems*, you can figure x using the Pythagorean theorem:

  6.5² = 2.5² +x²

  42.25 -6.25 = x²

  x = √36 = 6

  x = 6.0 cm

_____

* most commonly seen are (3, 4, 5), (5, 12, 13), (7, 40, 41) and their multiples.

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At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal
serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

\therefore x+y = 156\ \ \ \ \ \ equation\ 1

Now, according to question;

Total money = Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee

\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2

On multiplying by 10 on both side, we get;

97x+53y=10776\ \ \ \ \ \ equation\ 3

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57

Since x is the  number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0
3 years ago
Can someone help me with this
VladimirAG [237]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Answer:

Step-by-step explanation:

6n < -12

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Step-by-step explanation:

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