To find x:
ON is parallel to LM
8x - 8 = 7x + 4
-7x -7x
1x - 8 = 4
+8 +8
1x = 12
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1 1
x = 12
8(12) - 8 = 7(12) + 4
96 - 8 = 84 + 4
88 = 88
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To find y:
NM is parallel to OL
x - 5 = 3y - 6
12 - 5 = 3y - 6
7 = 3y - 6
+6 +6
13 = 3y
--- ---
3 3
13/3 = y
Check:
12 - 5 = 3(13/3) - 6
7 = 13 - 6
7 = 7
Answer:
$15.625
Step-by-step explanation:
Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore
R=Np
Using equation of slope of y=mx +c where m is gradient and c is y-intercept
When p=$11, N=27000 and when p=$8, N=31000
The gradient, m will be

To get the y-intercept
N=-1333.33p+c
When spectator number n is 27000, the price p is $11
27000=-1333.33(11)+c hence we solve c
c=27000+(11*1333.33)= 41666.67
Therefore, the linear equation is
N=-1333.33p+ 41666.67
Substituting the linear equation into R=Np we obtain
R=p(-1333.33p+41666.67)
To obtain maximum revenue, we differentiate the above with respect to price hence obtain
0=2*-1333.33p+41666.67

Therefore, the price that maximizes revenue is $15.625
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
Answer:
To multiply two minus numbers they will result as a positive number.
the product of any numbers when there is a negtive will always have 2 negtives invlved form three numbers including the answer.
-4 x -1.5 is the same as 4 x 1.5
the answer is 6
Three numbers like -1 x 4 will also be 2 numbers of negative.
= -4
We change this to -4 x 1.5 and shows the answer as -6
But the question had 2 negative numbers already and the answer is just positive 6.