Answer:
96 points
Step-by-step explanation:
Ratio problems can be solved like this:
Let x equal an unknown value.
Now, we can write an equation.
7x + 10x +12x = 232
We want to find 12x, so we have to find x first. We can simplify our equation to:
29x = 232
Now, divide both sides by 29.
x=8
We then solve for 12x by multiplying 8 and 12, and get 96 points.
Answer:
Step-by-step explanation:
Answer:
3 negative 3 positive
Step-by-step explanation:
-3+3=0
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Answer:
y =
Step-by-step explanation:
Since y is inversely proportional to x the equation relating them is
y = ← k is the constant of proportionality
To find k use the condition when y = 7, x = 9
k = yx = 7 × 9 = 63
y = ← equation connecting x and y