2.08. If you want to round, then it will be 2.09.
Hope this helps! ;)
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:
(20,10) is gonna be in The first quadrant
Step-by-step explanation:
year 2012 population = 2,254,000*3.5%
= 78.89
each year up to 2020
so 2020 - 2012 =8
78.89*8 = 631
total population at end of 2020 =2,254,000 + 631
= 2,254631
Answer:
When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.
Shape or figure after dilation is similar to original figure.
If the scale or factor of dilation is greater than 1 the shape enlarges.
If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.
So out of all the options given →It has the same shape as the original and is smaller than the original figure.
