Answer:
53 hours
Step-by-step explanation:
If A is the time it takes Company A, and B is the time it takes Company B, then:
1/27 = 1/A + 1/B
A = B + 2
Substitute and solve:
1/27 = 1/(B + 2) + 1/B
1/27 = (B + B + 2) / (B (B + 2))
1/27 = (2B + 2) / (B² + 2B)
27 (2B + 2) = B² + 2B
54B + 54 = B² + 2B
0 = B² − 52B − 54
B = [ -(-52) ± √((-52)² − 4(1)(-54)) ] / 2(1)
B = (52 ± √2920) / 2
B ≈ 53.0
It would take Company B approximately 53 hours.
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Answer:
25 minutes
Step-by-step explanation:
Let the amount of time, in minutes, be x.
For Container A, we can write:
200 + 6x [since it has 200 and is being filled with 6 per minute]
For Container B, we can write:
500 - 6x [since it has 500 and is being drained with 6 per minute]
To find, we equate them and solve for x:
<em>So, in 25 minutes (m), the two containers will have same amount of water</em>
Answer:
Domain (-2,3)
Range (-10, 20)
Function: Definitely
Step-by-step explanation: So check it right. Starting with Domain how far do our values go in the x direction positive and negative in this case the farthest to the left is -2 and to the right is 3. For range same thing but now we look at the y axis -10 is lowest and 20 is the highest. Open circles don't affect our domains or range but they are important for determining functions. This is a function because going up and down the graph vertically at any points doesn't collide with any point more than once. If the open circle were closed then this would not be a function but in this case it is a function.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but let's help out by giving some values to the question.
Let's say there are 230 students in a school. This number is 15% more than it was last year. Calculate the number of students last year.
Let the number of students last year be x.
Since there's a 15% increase, this implies that (100% + 15%) = 115% of x equals to 230. This will be:
115% of x = 230
115% × x = 230
115/100 × x = 230
1.15x = 230
x = 230/1.15
x = 200
There were 200 students last year.
Just assign the missing values and use the above method and you'll get your answer.
