The answer is B, or 30. 1/5 x 1/2 x 1/3 = 1/30, which means one out of 30 total options will be chosen
<u>Given</u>:
The given expression is 
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by
Applying the exponent rule that 
in the above expression, we get;
Adding the exponents, we get;
Again, applying the exponent rule 
, we get;
Thus, the simplified expression is 
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
Answer:
1,4 and 5
Step-by-step explanation:
Answer: 8
Step-by-step explanation: first multiply 12x4x8 for jakes gift. that is 384
then make each of the dimensions twice as large. so havanas dimensions would be. 24x8x16
24x8x16=3,072
last divide 3,072 by 384 and the answer would be 8
Havana's box is 8 times larger.
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.
To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:
y - y1 = m(x - x1)
plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.
y - 1 = 3(x +2) Use distributive property for right side of equation
y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y
Equation of line: y = 3x + 7
