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:
3 teddy bears for each cookie he has.
Answer:
The answer is "y < 2x - 4".
Step-by-step explanation:
Write in <u>slope-intercept</u> form, the formula is "y = mx + b"
To convert a fraction to simplest form we need to find the
greatest common factor. The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.
Steps to solve <span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
</span>
3) Bring down 7, so that 57 is large enough to be divided by 8.
4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.
<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
</span>
<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
</span>
<span>
Express as a mixed fraction = </span>