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3 years ago

Write each ratio in simplest form 3 in. to 2 ft

Mathematics

1 answer:

Degger [83]3 years ago

4 0

$1ft=12in\to2ft=24in\\\\3in:2ft=3in:24in=3:24=\dfrac{3}{24}=\dfrac{3:3}{24:3}=\dfrac{1}{8}=1:8$

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The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni

raketka [301]

Answer:

Price of a senior citizen ticket is $4 and price of a student ticket is $15 .

Step-by-step explanation:

Let us assume that the price a senior citizen ticket be x .

Let us assume that the price a student citizen ticket be y .

As given

The school that Jack goes to is selling tickets to a choral performance.

On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.

Equtaions becomes

9x + 8y = 156

As given

The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.

Equations becomes

7x + 9y = 163

Multipy 9x + 8y = 156 by 9 .

81x + 72y = 1404

Multiply 7x + 9y = 163 by 8 .

56x + 72y = 1304

Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .

81x - 56x + 72y - 72y = 1404 - 1304

25x = 100

$x = \frac{100}{25}$

x = $ 4

Putting value of x in the 56x + 72y = 1304 .

56 × 4 + 72y = 1304

224 + 72y = 1304

72y = 1304 - 224

72y = 1080

$y = \frac{1080}{72}$

y = $15

Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .

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2 years ago

Is a triangle with side lengths of 5, 10, and 15 a right triangle? Explain

Harrizon [31]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.

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Answer:

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Step-by-step explanation:

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Answer:

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2 years ago

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k0ka [10]

Answer:

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Step-by-step explanation:

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