Answer: c=5.4
The two roots are 3/5 and 9/5
Step-by-step explanation:
assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0
p = (12 + sqrt(144-20c))/10
q = (12 - sqrt(144-20c))/10
p-3q=0,
1.2 + 0.1sqrt(144-20c) +
-3.6 + 0.3sqrt(144-20c) = 0
-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4
sqrt(144-20c) = 2.4/0.4 = 6
144-20c=36
144-36=20c
c = 108/20 = 5.4
5x^2-12x+5.4=0
x = 3/5 or x = 9/5
Answer:
$11,200
Step-by-step explanation:
Just multiply the percent times the total
8% * 140000 = .08 * 140000 = 11200
Answer:
16 km
Step-by-step explanation:
Given:
Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km
Distance from Washington to Oakdele = 6.2 km
Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele
Solution:
Distance from Washington to Stamford = 22.2 km
Distance from Washington to Oakdele = 6.2 km
The difference = 22.2 km - 6.2 km = 16 km
Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.
Answer: 24 and 76
Step-by-step explanation:
{
d
+
q
=
100
10
d
+
25
q
=
2140
From the first equation, we have
d
=
100
−
q
Substituting that into the second equation, we have
10
(
100
−
q
)
+
25
q
=
2140
⇒
1000
−
10
q
+
25
q
=
2140
⇒
15
q
=
1140
⇒
q
=
1140
15
=
76
Knowing that
q
=
76
we can substitute that value into the first equation to obtain
d
+
76
=
100
∴
d
=
24
Thus, Sue has
24
dimes and
76
quarters.
