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3 years ago

Two burgers and one hotdog cost $4.82. At the same price ,one burger and two hotdogs cost $3.70. How much does a hotdog cost?

1 answer:

8 0

Hello!

Let's use 'x' to represent the cost of the burger, and 'y' to represent the cost of the hotdog.

2x + y = 482

× + 2y = 370

2x + 47 = 740

-3y = -258

y = 86 cents

2x + 86 = 482

2x = 396

x = 198

A burger costs $1.98 and a hot dog costs $.86

I hope this didn't confuse you, I'm not very good at explaining!

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3 years ago

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What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

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<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

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<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

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3 years ago

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VladimirAG [237]

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