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3 years ago

A ticket to a dinosaur exhibit costs $7.50. A one-year pass to the exhibit costs $30. When is the one-year pass a better deal?

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer:

The one-year pass is a better deal when the tickets are a better deal.

Step-by-step explanation:

Logic

<h3>It's just logic!</h3>

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√8x^2 divided by √2x

Ghella [55]

Question: Simplify $\frac{\sqrt{8x^2}}{\sqrt{2x}}$ .

First off, you <em>never</em> want square roots on the bottom of a fraction, so let's multiply both sides by $\sqrt{2x}$ to get rid of it. All we have to do from there is simplify!

$\frac{\sqrt{8x^2}}{\sqrt{2x}}*\frac{\sqrt{2x}}{\sqrt{2x}}=\frac{\sqrt{8x^2}*\sqrt{2x}}{2x}}=\frac{\sqrt{16x^3}}{2x}=\frac{4x\sqrt{x}}{2x}=\boxed{2\sqrt{x}}$

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3 years ago

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I need help figuring out what I did wrong

rewona [7]

Answer:

Step-by-step explanation:

Using the addition formula for sine

sin(a + b) = sinacosb + cosasinb

and the exact values

sin( $\frac{\pi }{4}$ ) = cos( $\frac{\pi }{4}$ ) = $\frac{\sqrt{2} }{2}$ , cos( $\frac{\pi }{6}$ ) = $\frac{\sqrt{3} }{2}$ , sin( $\frac{\pi }{6}$ ) = $\frac{1}{2}$

Note that $\frac{5\pi }{12}$ = $\frac{\pi }{4}$ + $\frac{\pi }{6}$ , thus

sin( $\frac{5\pi }{12}$ )

= sin( $\frac{\pi }{4}$ + $\frac{\pi }{6}$ )

= sin( $\frac{\pi }{4}$ )cos( $\frac{\pi }{6}$ ) + cos( $\frac{\pi }{4}$ )sin( $\frac{\pi }{6}$ )

= ( $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ ) + ( $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$ )

= $\frac{\sqrt{6} }{4}$ + $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}+\sqrt{2} }{4}$ → D

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3 years ago

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If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in ex

Volgvan

Answer:

The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

Step-by-step explanation:

From the provided statement.

The statement is: If Smith is guilty, then Jones is innocent.

The converse is: If Jones is innocent, then Smith is guilty.

The combination of a conditional statement and its converse is called biconditional statement.

The biconditional statement contains if and only if phrase between two part of the statement.

Which means the statement and converse both are true.

Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

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4 years ago

Big square length is 14 and small square length is 7. what is the area of dark part?

sladkih [1.3K]

The answer would be 36.75 units squared because the area of the big square is 196 units squared, then take away (minus) the area of the smaller square, 49 units squared is 147 units squared, then simply divide it by four because the grey area represents a fourth of the space in between the squares so that brings you to 36.75 units squared.

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3 years ago

Jose has 9 more comic books than robin. robin has 5 more comic books than lee. if jose has 23 comic books, how many comic books

Lerok [7]

Simple subtraction. to find how many robin has, subtract 9 from 23, which is 14. so robin has 14 comic books. robin has 5 more than lee, so subtract 5 from 14, which is 9. so lee has 9 comic books

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3 years ago