A. The independent variable is time, as time is manipulating the value of her salary.
b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.
c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
Answer: The value of x is 155/79.
Step-by-step explanation:
13(6x -5 )-x= 13 -2(x +1)
78x - 65- x = 13 -2x -2
77x -65 = 11-2x
79x -65 =11
79x =76
x = 76/79 76/ 79 + 1/1 = 155/79
Answer: a = 2; AC = BC = 10
Step-by-step explanation:
AC = BC => 6a - 8 = 4a - 2
<=> 2a = 6
<=> a = 3
=> AC = 6.3 - 8 = 10
AC = BC => BC = 10
Since the areas are the same (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12. (1/2 of 5 x 12 is also 30)
So now we use the Pythagorean theorem
a² + b² = c² we have 5² + 12² = c² or 25 + 144 = c² or 169 = c²
The square root of 169 is 13 so side DE is 13 units.
From information given, we know
208 miles was at rate of 65 mph. so divide total mileage by speed to get time spent.
208 ÷ 65 = 3.2 hours
So the rest of the trip took 6 - 3.2 = 2.8hours to travel another 348 total miles minus the 208 miles driven at 65mph is 140 miles.
140 miles divided by 2.8 hours gives speed
140 ÷ 2.8 = 50 miles per hour
