Isaiah will mow 9 lawns in 3 hours at the given rate.
Step-by-step explanation:
Given,
Lawns mowed in 25 hours = 75 lawns
We will find unit rate in terms of lawns;
75 lawns = 25 hours
1 lawn = 
9 lawns = 
9 lawns = 3 hours
Isaiah will mow 9 lawns in 3 hours at the given rate.
Keywords: unit rate, fraction
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Answer
The last one
y+2=-(x+8)
You have to know the formula for the volume of a cone.
In high school, there's no other way.
Volume of a cone = (1 / 3) π (radius)² (height)
Volume = (1 / 3) π (12 inches)² (15 inches)
Volume = 720 π = 2,261.95 cubic inches
Rounded to the nearest cubic inch, that's<u> 2,262 cubic inches</u>.
1/2 × 1/2
1/4 or 25%
probability of tails both times
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4