Answer: 0.04
Step-by-step explanation:
11 gallons divided by 300 miles
11 /. 300 = 0.36666667
= 0.04
Answer:3
x
−
2
y
=
7
Explanation:
Write the standard form of the line that goes through
(
3
,
1
)
and is perpendicular to
y
=
−
2
3
x
+
4
.
The equation
y
=
−
2
3
x
+
4
is in slope intercept form
y
=
m
x
+
b
where
m
= slope and
b
= the
y
intercept.
The slope of this line is then
m
=
−
2
3
A perpendicular slope is the opposite sign reciprocal. So, we change the sign of
−
2
3
and switch the numerator and denominator.
Perpendicular slope
m
=
3
2
To find the equation of the new line, use the point slope equation
y
−
y
1
=
m
(
x
−
x
1
)
where
m
=
slope and
(
x
1
,
y
1
)
is a point.
The slope is
3
2
and the point is the given point
(
3
,
1
)
.
y
−
1
=
3
2
(
x
−
3
)
a
a
a
Distribute
y
−
1
=
3
2
x
−
9
2
Standard form is
a
x
+
b
y
=
c
where
a
,
b
and
c
are integers and
a
is positive.
a
a
2
(
y
−
1
=
3
2
x
−
9
2
)
a
a
a
Multiply the equation by
2
a
a
a
a
a
2
y
−
2
=
3
x
−
9
−
3
x
a
a
a
a
a
a
a
−
3
x
a
a
a
Subtract
3
x
from both sides
−
3
x
+
2
y
−
2
=
−
9
a
a
a
a
a
a
a
a
+
2
a
a
a
+
2
a
a
a Add 2 to both sides −
3
x
+
2
y
=
−
7
−
1
(
−
3
x
+
2
y
=
−
7
)
a
a
a
Multiply the equation by −
1
3
x
−
2
y
=
7
Answer: A≈78.54
Step-by-step explanation: A=πr2=π·52≈78.53982
Answer:
2,250 miles per day.
Step-by-step explanation:
John runs 2.5 miles per day. In a period of 30 months, you can averagely take 30 days in each month.
So, 30 x 30 = 900 days in 30 months.
To find the number of miles ran in 900 days,
900 x 2.5 = 2,250 miles per day.
Hope this helps.
Answer:
43.7 ft
Step-by-step explanation:
Radius of the semicircular garden is 8.5 ft .
Diameter = 8.5 × 2 = 17 ft
Circumference of the garden = 
× π × diameter = × π × 17 = 26.7 ft (rounded up to the nearest tenth of a foot)
Distance around the gardent = Circumference + diameter = 26.7 ft + 17 ft = 43.7 ft
