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vova2212 [387]
3 years ago
7

Pete saves 4/5 of his wages each week.If he earns 150$ per week. How much did he save ?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

solution:

4/5 of $150

4/5 x 150

=120

so Pete saves $120 per week

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What value of ​x satisfies the equation 6.4−2x−6.63x=610.5 ?
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6.4 - 2x - 6.63x = 610.5
subtract 6.4 from both sides 
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collect like terms 
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I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

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… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

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Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

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… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

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