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Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

60% of 90 is 54 by doing 90*60/100
2/3 of 150 is 100 because 150 divided by 3 times 2 is 100
and dawn sold 46 cookies.

if you add all the cookies sold up, you get 200 cookies.
Dawn having sold 46 cookies out of the 200, if you want to have a percentage, you have to change that 200 which is the total into 100.

So 200/2=100 and 46/2=23

Dawn sold 23 cookies for every 100 cookies sold so 23%

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If ex + e⁻¹= 2, then x =..

harkovskaia [24]

Answer:

$\rm x = \dfrac{2e - 1}{ {e}^{2} }$

Step-by-step explanation:

$\rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} }$