Answer:
57
Step-by-step explanation:
We need to create a ratio. so Aubree practices the piano for 1197 min: in 3 weeks. So for 1 week, we have to divide 1197 by 3, so 1197/=399. And so we know that 1 week is 7 days, just divide 399 by 7! 399/7=57. The rate that she practiced per day is 57 minutes. So one last final step just to check if this answer is correct is to divide 57 by 60, and that is 0.95. 0.95 out of 1.00 minutes per day is 95/100. Cross multiply with x/60, and you will get your answer, which is 57.
Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)
48f=8b
÷8 ÷8 (divided by 8)
6f=b
it takes 6 feet of fabric to make 1 blanket
6f=1b 3f=y
36f=6b
12y=6b
it takes 12 yards to make 6 blankets
Answer: 112-15i
Step-by-step explanation:
(7)(8)+(7)(7i)+(-8i)(8)+(-8i)(7i)
56+49i-64i(-56(-1))
56+49i-64i+56
112-15i
First, we solve for the equation of the line using the two-point formula:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
The coordinates are:
(1,-1)
(3,0)
(y - (-1)) / (x - 1) = (0 - (-1)) / (3 - 1)
y = 0.5x - 1.5
Since the line is dotted, it's a strict inequality and since the portion below the line is shaded, we use the inequality, less than.
y < 0.5x - 1.5
In standard form:
x - 2y > 3
The answer is the first option.
