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.
Lines A and B are parallel to each other. Lines B and E are perpendicular to each other.
Answer:
59.52 days
Step-by-step explanation:
So this is a simple problem we can solve easily
If it takes 3 days to read 50 pages then obviously his rate of reading is 50 pages per day
If we divide 992 by 50, then we can find how many 3 day increments it will take him
(992/50 is 19.84)
Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52
I hope I helped and have a wonderful day!
Answer:
1/2 y - 1/3 x -1 = 0
Multiply through by the LCD -6 to clear the fractions and the negative coefficient with the 'x'.
-3y + 2x + 6 = 0
Then reorder
2x - 3y + 6 = 0
Step-by-step explanation:
