The answer is none of the above
A. x∧2+(x+20∧2=150∧2 is correct.
because you need to plug the numbers into the pathagoreum theorum which is
a∧2+b∧2=c∧2
150 is our c because it is the side right accross from the right angle.
which number is a and which number is b does not matter.
x is the distance north so we can assign that to a and the distace east is north plus 20 so we can assign b to x+20.
Answer:
x=3
Step-by-step explanation:
2(x-1)=4
2x-2=4
2x=4+2
2x=6
x=6/2=3
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 is C. 7:42
Because the numbers from the ratio 3:18 , 18/3 is 6
And from the ratio 7:42, 42/7 is also 6
Because the difference in the ratios are the same, the ratios are equivalent
Another way is that 3:18 can be rewritten as 3/18 which is simplified to 1/6. 7:42 = 7/42 which also equals 1/6.
Both ratios simplified equal 1:6.
None of the other answers simplify to this but C.
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