2/3 of 300 is 200.
200 +40 = 240.
the total amount of seats minus the amount filled
300 - 240 = 60
That means that there are 60 seats remaining.
Answer:
Step-by-step explanation:
y
=
−
2
3
x
+
2
Explanation:
Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
, where
m
is the slope of the line and
x
1
and
y
1
are x and y coordinates of a given point.
We can summarize the information already given:
m
=
−
2
3
x
1
=
6
y
1
=
−
2
Using this information, we can substitute these values onto the point-slope formula:
y
−
(
−
2
)
=
−
2
3
(
x
−
(
6
)
)
y
+
2
=
−
2
3
(
x
−
6
)
The equation above is the equation of the line in point-slope form. If we wanted to have the equation in
y
=
m
x
+
b
form then we simply solve the equation above for
y
y
+
2
=
−
2
3
x
+
12
3
y
+
2
−
2
=
−
2
3
x
+
12
3
−
2
y
=
−
2
3
x
+
12
3
−
2
(
3
3
)
y
=
−
2
3
x
+
12
3
−
6
3
y
=
−
2
3
x
+
6
3
y
=
−
2
3
x
+
2
Indentity property, anything times 1= the same number so the answer is (p) times 6
then associative property of mult
note:a(b)=a times b and =ab
a(bc)=(ab)c
so (p)6=(p6)=6p
Answer:
41.16 m³
Step-by-step explanation:
Step 1: <u>Formula.</u>
To find the volume of a triangular prism, multiply the base, length, and height by 1/2.
Step 2: <u>Explain and solve.</u>
Now, we simply plug the numbers into the formula.
Step 3: <u>Conclude.</u>
I, therefore, believe the volume of this triangular prism is 41.16 m³.
Answer:
first option is correct
Step-by-step explanation:
finding area for upper rectangle
length = 16 miles
breadth = (2x - 1) miles
area of rectangle = l*b
=16 *(2x - 1)
16*2x - 16*1
=32x - 16
finding area for another rectangle
length = (5x + 5) miles
breadth = 4 miles
area of rectangle = l*b
= (5x + 5) * 4
=5x*4 + 5*4
=20x + 20
area of the figure = area of upper rectangle + area of another rectangle
=32x - 16 + 20x + 20
= (52x + 4) sq mi
