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olga2289 [7]
3 years ago
8

A game decreases in price by 1/3 . After the reduction it was priced £32. What was the original price of the game

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Answer:

96

Step-by-step explanation:

it 32 x 3

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Find the mean of each data set.<br> 1.9, 10, 11, 16, 12, 12,14
igor_vitrenko [27]

Answer:

Add all the values up and divide by 7 ( as there are 7 values in the data set)

Step-by-step explanation:

1.9 + 10 + 11 + 16 + 12 + 12 + 14 = 76.9

If you divide by 7, you will get 10.9857142857.

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Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).
Serggg [28]

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

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If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:3, find the measure of the angle
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Set up and solve an equation:

3(90-x) = (180-x).  Then  270 - 3x = 180 - x, or   270 - 180 = 2x.
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Is this true?     3(90-45) = (180-45)?  If so, x = 45 degrees is correct.
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3 years ago
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
4 years ago
Today, 6 friends went out for lunch. Their total bill was $28.86, including tax and gratuity. They decided to split the bill equ
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Answer:

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