Answer:
1. -18x¹¹
2. 3n⁷
Step-by-step explanation:
For these problems, there are two things you need to worry about: negative signs and exponents.
1. Let's look at the signs first. There is only one value with a negative sign, meaning that the negative sign will stay.
When multiplying with exponents, you have to add up the exponents. Don't forget the numerical coefficients.
-3x² · 3x · 2x³ · x⁵ = -18x¹¹
2. There are two negative signs in this probem, meaning that they will cancel out. Multiply the rest like we did in the first problem.
3n² · -n² · -n³ = 3n⁷
The probability of that occurring is 0%. There are 6 sides in a typical dice, which means the probability of rolling a 2 is 1/6th. (1/6)^1000 will give you the probability of rolling a 2 exactly 1000 times. (1/6)^1000 equates to 0%.
Since the area of the poster doesn't change by putting it in a frame, we presume the question is asking what the area of the framed poster is.
The length of the poster in its frame is ...
(frame width on one side) + (poster length) + (frame width on the other side)
2 in + 32 in + 2 in = 36 in
Likewise, the width of the poster in its frame is ...
2 in + 24 in + 2 in = 28 in
The area of a rectangle 36 in by 28 in is the product of these dimensions:
Area = (36 in)×(28 in) = (36×28) in² = 1008 in²
Answer:
June has 7 green and 28 blue marbles
Step-by-step explanation:
b + g = 35
b = 4g
Use substitution method to solve them simultaneously
4g + g = 35
5g = 35
g = 7
b = 4g = 4(7) = 28
b = 28, g = 7
She has 7 green and 28 blue marbles
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
