Answer:
63
Step-by-step explanation:
the numbers are in ratio 7 : 9 = 7x : 9x ( x is a multiplier )
given the sum of the numbers = 112 , then
7x + 9x = 112 , that is
16x = 112 ( divide both sides by 16 )
x = 7 , then
9x = 9 × 7 = 63 ← value of larger number
For this question I'm just going to use / as a square root sign because I don't know how to do it on a computer. Anyways...
So you have /45
Now you have to find a factor that is also a perfect square which is 9 (because 9x5=45)
So you now have /9x5
Since 9 is a perfect square (/9=3)
You can re write it is 3/5 which is the answer
Answer:

Step-by-step explanation:
Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins
Number of nickels in the bag = 4
We have to find the probability that Marissa draws a nickels from the bag.
Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"
In this case total number of possible outcomes is the total number of coins which is 16.
Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4
Therefore, the probability that she will draw a nickel = 
<h3>
Answer: 41</h3>
Work Shown:
f(x) = 6x^2 - 13
f(x) = 6(x)^2 - 13
f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify
f(-3) = 6(9) - 13
f(-3) = 54 - 13
f(-3) = 41
192 in2
The formula for surface area is 2(lw + wh + hl) = 2(2*8 + 12*8 + 12*2) = 2(16+56+24) = 2(96) = 192