Answer:
x = 8
Step-by-step explanation:
36 × 2 = 9 × x
72 = 9x
9x = 72
9x ÷ 9 = 72 ÷ 9
x = 8
Answer:
7
Step-by-step explanation:
Working backward, we can find Bob's initial product.
We subtracted 3 to get 1, so we had 4.
We divided by 5 to get 4, so we had 20.
We added 6 to get 20, so we had 14
After Bob multiplied the two numbers together, he had 14. We know that 14 is the product of 2 and 7. The odd number is 7.
AB is a chord that passes through the center O, which means the central angles BOC and AOC are supplementary. So

Central angles and the arcs they subtend have the same measure, so that


Answer: The maximum number of people who could answer yes for both cat and dog is 7.
Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.
Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.
We are to find the maximum number of people that could answer yes for both cat and dog.
Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.
Then, according to the given information, we have

From Set Theory, we have

Since the total number of people is 100, so we get

Therefore, from equation (i), we get

Thus, the maximum number of people who could answer yes for both cat and dog is 7.