Answer:
2
Step-by-step explanation:
12 x - 15 = 6x - 3
12 x - 6x = 15 - 3
6x = 12
x = 12/6 = 2
Assuming is a non-negative real number...
Raise both sides to the power 2 :
which follows from the exponent product property, . In particular, 3/4 × 2 = 6/4 = 3/2.
Raise both sides to the power 1/3 :
where we use the same property as before, and 4³ = 64. This time, 3/2 × 1/3 = 3/6 = 1/2.
Take the reciprocal of both sides. This negates the exponent, so we end up with
Of course, you could also solve for immediately by raising both sides of the original equation to the power 4/3. We have 4/3 × 3/4 = 12/12 = 1, so
Now 2³ = 8, so , and since 4² = 16, it follows that
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2r
So that,
total length of the circular track = 2r
= 2 × × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.
Answer:
1/12
Step-by-step explanation:
Probability is a ratio derived as the number of possible outcomes divided by the total outcome.
On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)
= 3/6
The probability of rolling a 4 P(4)
= 1/6 (4 appears on one side)
Hence the probability of rolling an even on the first roll and a four on the second roll
P(En4) = 3/6 * 1/6
= 3/36
= 1/12
Answer=20% increase
$125 $150
______=______
100% x %
125x=15000
x=120%
120%-100%=20% increase