Answer:
Step-by-step explanation:
∛(1000)² = find the cubed root of 1000 squared 1000 times 1000
∛1,000,000 = ∛ (100 x 100 x 100) = 100
But I think they want use to use exponents to solve the problem
1000^2/3 recall 1000 = 10^3 which is 10x10x10
replace 1000 with 10^3
so
(10^3)^2/3 exponents multiple and divide some rule as I recall
you look it up in your book or on your computer
10^(3)(2)/(3) the 3s divide to 1 leaving the 2 in the exponent
= 10^2 which is 10² which is 100
Answer:
3 / 248
Step-by-step explanation:
Draw 1:
Favourable Outcome / Total number of possible outcomes
=> 4/32
=> 1/8 chance for first draw
Draw 2:
Favourable Outcome / Total number of possible outcomes
=> 3/31 Chance of green for second draw
To find the chance of getting 2 greens at consecutive draws = 1/8 x 3/31
= 3/248
<span> 4(y+3)+7=3
first you distribute the 4
4y+12+7=3
now add simplify each side
4y+19=3
subtract 19 from each side
4y=(-16)
divide each side by 4
y=(-4)
so -4 is your answer for y</span>
Answer:
37 is the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.
Step-by-step explanation:
First we will find the prime factors of 247:
247 = 13 x 19 (which are both prime).
So now we need to find a number (the smallest one) that is of the form (n)(n+1)(n+2) (the product of three consecutive numbers) and that is divisible by both 13 and 19 (and therefore divisible by 247)
Let's take a look at the multiples of 13: 13, 26, 39, 52...
Let's take a look at the multiples of 19: 19, 38, 57...
We can see that the first time we have two multiples close together are the 38 (for 19) and the 39 (for 17).
So, if our number has both 38 and 39 as factors, then it will be divisible by 247.
However, we need not two but three consecutive numbers, and since we want the number to be the smallest positive integer, we will add 37 (since our other choice would be to add 40 and that would make the number bigger) and thus our number is (37)(38)(39) or in other words (37)(37 + 1)(37 + 2) and therefore this is the smallest positive number such that n(n+1)(n+2) is divisible by 247.
Answer:
225 seconds
Step-by-step explanation:
150/(2/3) = 150(3/2) = 225
proof:
150 = 2/3
75 = 1/3
225 = whole
