Answer:
B. -8
Step-by-step explanation:
x-3y=136
18x+3y=-288
add the equations
19x=-152
divide by 19
x=-8
Answer:

Step-by-step explanation:
Let
y ----> the total cost for renting the popcorn machine
x ----> the time in hours
we know that
The total cost of renting a popcorn machine for 6 hours is $48
so
using proportion
Find out the total cost for renting the popcorn machine for x hours

Is a linear direct variation
The constant of proportionality or slope is equal to

That means ----> the total cost is $8 per hour
Answer:
1
Explanation:
According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:
cos π\6 - π\6 → cos 0 >> 1
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*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.
Answer: 198 is your answer:65+66+67 = 198 Hope I helped!
Step-by-step explanation:
One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.