Answer:
Divide the 1st equation by 2
a + 2c = 19
Divide the 2nd equation by 3
a + c = 13.5
Subtract the 1st equation and the 2nd equation
c = 5.5
Substituting back into the 2nd equation will give:
a + 5.5 = 13.5
a = 8
Step-by-step explanation:
Answer:
Barney 145 3 Days 310 Miles
Mary 250 5 Days 600 Miles
A) 3 D + 310 M = 145
B) 5 D + 600 M = 250
Multiplying A) by -5/3
A) -5 D - 516.6666M = -241.66666666
B) 5D + 600M = 250
Adding A) and B)
83.3333 M = 8.3333333333
M = .10 per mile
3 D = 114
Daily Rate = 38 dollars per day
Step-by-step explanation:
Answer:

Step-by-step explanation:
The area of a pie-slice shape can be found with the equation
where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is 
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is
where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: 
Answer:

Step-by-step explanation:
Regan needs the following:
yards for a dress

Total Length of fabric needed

The number of yards of 45-in. fabric needed is 
Answer:
Correct answer: The third answer is correct
Step-by-step explanation:
The domain of each function is defined by observing the behavior of the function from left to right by following the growth of numbers on the x axis of real numbers.
In the same way, the range of each function is defined by observing the behavior of the function from the bottom y axis upwards by following the growth of numbers on the y axis of real numbers.
The given function extends from negative infinite to positive infinite on the x axis and that is the domain of this function.
The minimum of a given function is 4, which means that the function exists from 4 upwards and that is the range of the function.
Domain; all real numbers or x ∈ ( -∞ , + ∞)
Range: ( y ≥ 4 )
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