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Rudik [331]
3 years ago
12

Sam sells two notebooks for $3.50 each and a pen for $3. He earns a profit of $1. Sam's profit represents what percent of the to

tal sale?
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
2x 3.50 = $7 notebook sale 1x 3.00 = $3 pen sale Total sale = $10.00 less $1.00 profit To find percentage of profit $1.00/$10.00 = .10 or 10%
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7. 20% of what number is 18?​
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15 points!!! GEOMETRY help please!!<br> Questions attached!
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3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

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5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

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therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

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Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

6 0
3 years ago
PLease help me with this!
astraxan [27]

Answer:

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   x^2 - 8x  +12>0

   x^2 -2x -6x +12 >0   (-8x is replaced by (-2x) + (-6x) )

   x(x-2) -6(x-2) >0

    (x-6)(x-2)>0

(x-6)>0    and (x-2)>0

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3. -x2 - 12x - 32 > 0

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     x^2 -20 +20  >= 5  +20

     x^2 >=25

     x^2-25 >=0

      (x-5)(x+5)>=0

(x-5)>=0  and (x+5)>=0

  x>=5    and x>=-5

6 0
3 years ago
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