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.
5x^2 -15x-140
5(x² -(3x) -28)
5(x² +(4x-7x)-28)
5(x(x+4) -7(x+4)
5(x-7)*(x-4)
Length of the rectangle 11 cm, width 3X, find the perimeter of the rectangle.
The perimeter of a rectangle is calculated by adding its four sides that are equal two to two.
Perimeter = 2*Length + 2*width = 2*11cm +2*3Xcm = 22cm + 6*Xcm
Answer : perimeter = 22cm + 6*Xcm
Hope this helps!
Answer:
7/11
Step-by-step explanation:
Two events are disjoint events if they cannot occur at the same time. It is given that A and B are disjointed events, so A and B cannot occur at the same time i.e. the intersection of two disjoint events will be 0.
For two disjoint events A and B:
P(A or B) = P(A) + P(B)
P(A) is given to be 4/11 and P(B) is given to be 3/11. Using these values in the equation, we get:
P(A or B) = 
It is given in the question that
Emily’s last water bill listed a previous reading of 7,123 ccf and a present reading of 7,171 ccf. Her water company charges $0.73 per ccf of water.
Therefore number of ccf is

And company charges $0.73 per ccf.
So for 48 ccf, company charges

And that's the required answer .