Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒ 
Therefore, the equation (1) becomes 
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)
The given function is : y= f(x) =49 [\frac{1}{7}]^x
The statements which are true regarding this function is
1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.
2. Also, x =\frac {\log[\frac{y}{49}]}{-\log7}, so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.
As ,x =0 then y= 49 and x_{1} =1 then y_{1} = 7,
so ,y_{1} = \frac{y}{7}.
So, Option (1),(4) and (5) are correct.
Step-by-step explanation:
#1 equals 1 1/4
The common denominator for 1/6, 2/3, and 5/12 would be 12. So I made the denominators 12 which means 1/6 would turn into 2/12, 2/3 turns into 8/12, and 5/12 stays the same. When I add them all up I get 15/12. I can turn that into a mixed number which would be 1 3/12. I can simplify that down to <em><u>1 1/4.</u></em>
#2 equals 3/4
The first thing you have to do is turn 2 2/3 and 1 3/4 into improper fractions. Which would turn 2 2/3 into 24/3 and 1 3/4 into 21/12. The next thing is you have to find a common denominator which would be 12. Next you have to turn the denominators into a 12 and change the numerator. Which makes the fractions: 24/12, 6/12, and 21/12. When you add 24/12 and 6/12 together you get 30/12 minus 21/12 you get 9/12. You can then simplify that to <em><u>3/4. </u></em>
#3 equals -1 17/36
The first thing you do is turn 3 5/18 into an improper fraction which would be 59/18. then you find a common denominator which would be 36 and make the denominators of those numbers into 36 which would be 11/36, 54/36, and 118/36. When you add up 11/36 and 54/36 you get 65. but when you - 65 by 118 you get -53 / 36. you can lend turn that into <u>-</u><em><u>1 17/36. </u></em>
I'm not sure about number 4 and I don't want to give you the wrong answer. Hopefully what I did show you helped!
Answer:
lol 1+7 is 8
Step-by-step explanation:
Answer:
(a) c = 40h + p
(b) $285
Step-by-step explanation:
(a)
Total Cost = (Cost per hour x Number of Hours) + Total Cost of Parts
c = 40h + p
(b)
For this case, p = $165 and h = 3:
c = 40*3 + 165 = $285
