Answer: Felipe made 24 sand art bottles.
Step-by-step explanation:
Given: Total different colors of sand = 9
Weight of each color sand = 1 pound
Then, the weight of all 9 colors would be 9 × 1 = 9 pounds
Since 1 pound = 16 ounces
Then, 9 pounds = 9 × 16 = 144 ounces
capacity of each bottle = 6 ounce
Then, the number of bottles required = ( 144 ounces) ÷ 6
= 24
Hence, Felipe made 24 sand art bottles.
That would be choice 3
middle term = -3mn-8mn = -11mn and last term = + 2n^2
Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
I was never sure of what the "additive inverse" is.
So, just now, just for you, I went and looked it up.
The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero. That's all !
So now, let's check out the choices:
a), 6, -(-6)
That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ? No.
b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.
c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 . That's not zero, so these
are NOT additive inverses.
d). 7, 7
What do you get when you add 7 to 7 ?
You get 14. That's NOT zero, so these
are NOT additive inverses.
e). 6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.
What do we end up with from the list of choices:
a)., c)., and d). are NOT additive inverses.
b). and e). ARE additive inverses.
Answer:
$825.60
Step-by-step explanation:
Since the price of it is $960.00, it means that it's 100%.
100% = 960
1% = 960 ÷ 100 = 9.6
14% = 9.6 x 14 = 134.40
Since they asked for after the discount, deduct the price of the discount with the original price.
Mountain bike after 14% discount =
960 - 134.40 = 825.60