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2 years ago

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The weekly salaries of six employees at a fast food franchise are $250, $120, $95, $160, $185, $225. For these six salaries, fin

d the mean, average amount of pay per week.

1 answer:

Mashcka [7]2 years ago

5 0

250+120+95+185+160+225= the mean

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Write the percent as a fraction or mixed number in simplest form.<br><br> 88% =

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Mary wants to buy a new iPhone for $699. she has $200 saved and plans to save $45 per week. How many weeks will it take Mary to

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3 years ago

EG and HJ are parallel lines. Which angles are alternate interior angles?

sertanlavr [38]

Answer:

see below

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal DK. "Interior" means the angles are between the parallel lines. Here, that means that segment HI will be common to the two angles of interest.

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2 years ago

Solve for x in the equation x squared minus 4 x minus 9 = 29. x = 2 plus-or-minus StartRoot 42 EndRoot x = 2 plus-or-minus Start

Furkat [3]

Answer:

$x=2$\pm$\sqrt{42}$

Step-by-step explanation:

The given equation is:

$x^{2} -4x-9=29\\\Rightarrow x^{2} -4x-9-29=0\\\Rightarrow x^{2} -4x-38=0$

<u>Formula:</u>

A quadratic equation $ax^{2} +bx+c=0$ has the following roots:

$x=\dfrac{-b+\sqrt D}{2a}\ and\\x=\dfrac{-b-\sqrt D}{2a}$

Where $D= b^{2} -4ac$

Comparing the equation with $ax^{2} +bx+c=0$

a = 1

b = -4

c= -38

Calculating D,

$D= (-4)^{2} -4(1)(-38)\\\Rightarrow D = 16+152 = 168$

Now, finding the roots:

$x=\dfrac{-(-4)+\sqrt {168}}{2\times 1}\\\Rightarrow x=\dfrac{4+2\sqrt {42}}{2}\\\Rightarrow x=2+\sqrt {42}\\and\\x=\dfrac{-(-4)-\sqrt {168}}{2\times 1}\\\Rightarrow x=\dfrac{4-2\sqrt {42}}{2}\\\Rightarrow x=2-\sqrt {42}$

So, the solution is:

$x=2$\pm$\sqrt{42}$

5 0

2 years ago