61 quaters
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Answer:
a. 9.5x + 6.5(x+c) < 8 when c>0
b. Must be one child more than the no. of adults.
Step-by-step explanation:
For Cinema 1:
for adult = $9.50
for child = $6.50
For Cinema 2:
Per person regardless of age = $8.00
First of all, we will find out the condition when per person rates in both cinema are equal.
Assume x = no. of adults
y = no. of children
Rate per person in Cinema I = Rate per person in Cinema II
(9.5x + 6.5y)/(x+y) = 8
9.5x + 6.5y = 8(x+y)
9.5x + 6.5y = 8x + 8y
9.5x-8x = 8y-6.5y
=> x = y
So rates are equal when no. of adults equals no. of children
For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8
Hence we form an inequality when y = x+c and c > 0
9.5x + 6.5(x+c) < 8 when c>0
Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.
Answer:
units
Step-by-step explanation:
The Line 1 has equation x + y = 5 ....... (1) , and
Line 2 has equation x + y = 3 .......... (2)
Now, we have to find the perpendicular distance between line 1 and line 2.
We can say that (3,0) is a point on line 2 as it satisfies the equation (2).
Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula
units (Answer)
We know that the perpendicular distance from any external point (
) to a given straight line ax + by + c = 0 is given by the formula 
.
Answer:
There are 60 permutations that can be formed from the first five letters of the alphabet.
Step-by-step explanation:
The number of three letter permutations that can be formed from the first five letters of the alphabet is 
.
= 60
Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.
I believe it would be x+5^2
