Response:
First, subtract one-half from each side of the equation.
Next, divide both sides by 6/7.
Then, multiply each side by 7/6.
Detailed explanation:
I simply took the question on ed.
Response:
Detailed explanation:
The final result is 3 /8/33.
step by step breakdown
Initially, we write:
x
=
3
.
¯¯¯¯
24
After that, we will multiply each side by
100
leading to:
100
x
=
324
.
¯¯¯¯
24
Subsequently, we will subtract the first equation from the second equation:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can then solve for
x
in the following manner:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Next, we convert this improper fraction to a mixed numeral:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
=
3
8
33
The total number of juices equals 27, with the probabilities for each type being as follows: apple juice = 12/27, grape juice = 15/27, sugar-free = 14/27, and not sugar-free = 13/27. Since it has already been established that the chosen juice is not sugar-free, we do not need to factor that probability into our calculations. Of the apple juices, 9 are sugar-free, leaving 3 that are not, and for the grape juices, 5 are sugar-free, resulting in 10 that are not. Consequently, among 13 juices that are not sugar-free, 10 are grape juice, so the likelihood of selecting a non-sugar-free grape juice is 10/13. Therefore, the answer is A). Sorry if my explanation was lengthy; I tend to elaborate.
Answer:
dV(t)/dt = kV(t)
Step-by-step explanation:
The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.
dV(t)/dt ∝ V(t)
dV(t)/dt = kV(t)
