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3 years ago

Simplify √250x^16 / √2x

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

( square root of 250x^16)/( square root of 2x)

√250x16√2x

Combine

√250x16

and

√2x

into a single radical.

√250x162x

Reduce the expression

250x162x

by cancelling the common factors.

√125x16x

Reduce the expression by cancelling the common factors.

√125x15

Rewrite 125x15 as (5x7)2⋅(5x).

√(5x7)2⋅(5x)

Pull terms out from under the radical.

5x7√5x

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Step-by-step explanation:

In Out

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Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

17:30 → 16:90

- 12:45 - 12:45

4: 45

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2 years ago

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

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Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

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Collect like terms

$0.7x = 85 - 15$

$0.7x = 70$

Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

$x = 94$

$100 > 94$

Hence, the maximum amount that can be purchased is 100