978 x .05 = 48.9 should be the tax.
If 1/3 of the students wanted more fruits and veggies, then that means that 2/3 did not. And of that 2/3, 1/8 of them wanted more seafood.

This means that 1/12 of all the students surveyed wanted more seafood and 1/3 wanted more fruits and veggies. The least common multiple of 3 and 12 (or the LCD of the two fractions) would be
12.Multiplying by 12, we figure out that 4 of them would have wanted more fruits and veggies and only 1 lonely kid wanted more seafood.
Final answer :
12
Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
_____
<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
Answer:
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Explanation:
Here,
7
,
12
,
17
,
22
,
27
,
...
is an Arithmetic Sequence.
The
,
n
t
h
term of Arithmetic Sequence is :
a
n
=
a
1
+
(
n
−
1
)
d
,
w
h
e
r
e
,
a
1
=
first term and
d
=
common difference
We have,
a
1
=
7
and
d
=
12
−
7
=
17
−
12
=
...
=
5
So,
a
n
=
7
+
(
n
−
1
)
⋅
5
a
n
=
7
+
5
n
−
5
a
n
=
5
n
+
2
Hence,
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Step-by-step explanation:
Answer:
1. x = 12
2. x = 18
Step-by-step explanation:
1. Angle ABD + angle CBD = 180 degrees
(4x+6) + (11x-6) = 180
4x + 6 + 11x - 6 = 180
4x + 11x = 180
15x = 180
x = 12
2. 2x + 3x = 90
5x = 90
x = 18