Answer:
A: 4
Step-by-step explanation:
So first you can move the 2^-5 to the denominator, making the equation (2^2) (4^3) / (2^5) (2)
Then simplify the terms so you end up with (4)(64) / (32) (2)
Then multiply the denominator so you end up with (4) (64) / (64)
Since both the denominator and numerator have 64, those cancel out leaving you with 4
If you need more clarification feel free to ask
Ratio of shadow to object's size = 2/7
Then, size of tree would be: 7/2 * 28 = 7 * 14 = 98 feet
So, your final answer is 98 feet
Hope this helps!
Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = 
12 = 
← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
± 
= a , then
a = ± 15
a > 0 , so a = 15
Answer:
Step-by-step explanation:
If she has 84 candles and 48 holders, we can write out the factors of both values as shown
For candles
84 = 2×2×3×7
84 = 12×7
For 48
48 = 2×2×2×2×3
48 = (2×2)×(2×2×3)
48 = 4×12
48 = 12×4
From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12
The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.
