Answer:
A. -61/9
Step-by-step explanation:
(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation
14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms
9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56
x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x
Answer:
We are given the following in the question:
where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.
We have to approximate the number of U.S. travelers to other countries in each given year.
(a) 1990
We put x = 0 in the given function.
Thus, there are 48.09 millions U.S. travelers in 1990.
(b) 2000
We put x = 10 in the given function.
Thus, there are 56.888 millions U.S. travelers in 2000.
(c) 2009
We put x = 19 in the given function.
Thus, there are 31.085 millions U.S. travelers in 2009.
Step-by-step explanation:
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<u>Answer:</u>
First mechanic worked for 20 hours and second mechanic worked for 15 hours.
<u>Solution:</u>
Given, Two mechanics worked on a car.
The first mechanic charged $45 per hour, and the second mechanic charged $120 per hour.
The mechanics worked for a combined total of 35 hours, and together they charged a total of $2700.
We have to find how long did each mechanic work.
Let the time worked by 1st mechanic be t hours then time taken by 2nd mechanic will be 35 – t hours.
Now, according to given information,
45 x t + 120
(35 – t) = 2700
45t + 120
35 – 120t = 2700
-75t + 4200 = 2700
75t = 4200 – 2700
75t = 1500
t = 20
hence, 1st mechanic worked for 20 hours and 2nd mechanic worked for 35 – 20 = 15 hours.