The answer is A) -3, Hope this helps
Answer:
19 bears, 38 boxes of candy.
Step-by-step explanation:
We can use a system of equations (b = # of bears, c = # of candy boxes):
<em>b + c = 57, 8b + 6c = 380</em>.
We can use substitution by isolating b in the first eq.: <em>b = 57 - c</em>, then substitution b with 57 - c in the second eq.: <em>8(57 - c) + 6c = 380</em>.
Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.
Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.
Okay so if it makes 156 revolutions in 180 seconds you can figure out how many revolutions it will make in 2 minutes by first dividing 156 by three. this will tell you how many revolutions it will made in 1 minute (180 seconds divided by 3 = 60) so 156/3=52 you then multiply 52 by two to get the revolutions it will make in two minutes, 52 times 2 = 104 The ride will have made 104 revolutions in 2 minutes.
Answer:
4/22 chance of getting a black marble.
Step-by-step explanation:
Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)