Hello there!
The right prime factorization is
2*2*2*3*11 because 2 and 3 and 11 are prime.
Take a look at the words "prime" and "factorization"
Can you see something that looks like "prime factors?" Exactly!
2 is prime. 3 is prime. 11 is also prime.
A prime number is only divisible by 1 and itself.
What is the value of 5+2*15+(12*4)?
If you remember "Please Excuse My Dear Aunt Sally" that's great as long as you know what that means.
P = Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
5+2*15+(12*4)=5+2*15+(48)=5+30+48=83
A farmer has 40 tomatoes in a basket. 18 were green. How many were red?

18 green
40 total

Red
40-18=22
Hope this helps
9xa is the common factor.
You can complete the statement by dividing the two terms of the expression of the left side by 9xa, and you will get:
36x^3a + 45xa^2 = 9xa ( 4x^2 + 5a)
Given:
The function is
![f(x)=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
To find:
The inverse function
.
Solution:
We have,
![f(x)=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
Step 1: Putting f(x)=y, we get
![y=\dfrac{8\sqrt[3]{x}-8}{9}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7Bx%7D-8%7D%7B9%7D)
Step 2: Interchange x and y.
![x=\dfrac{8\sqrt[3]{y}-8}{9}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B8%5Csqrt%5B3%5D%7By%7D-8%7D%7B9%7D)
Step 3: Isolate variable y.
![9x=8\sqrt[3]{y}-8](https://tex.z-dn.net/?f=9x%3D8%5Csqrt%5B3%5D%7By%7D-8)
![9x+8=8\sqrt[3]{y}](https://tex.z-dn.net/?f=9x%2B8%3D8%5Csqrt%5B3%5D%7By%7D)
![\dfrac{9x+8}{8}=\sqrt[3]{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B9x%2B8%7D%7B8%7D%3D%5Csqrt%5B3%5D%7By%7D)
Taking cube on both sides, we get


Step 4: Putting
, we get

Therefore, the correct option is C.
Answer:
b = -30
Step-by-step explanation:
-b/5 - 27 = -21
~Add 27 to both sides
-1/5b = 6
~Multiply -5 to both sides
b = -30
Best of Luck!
Answer:
Step-by-step explanation:
Emma is making two different kinds of cookies for a cookie party she will be attending. She needs 2 and 2/3 cups of sugar for the first recipe and 1 and 1/4 cups of sugar for the second recipe. Emma thinks she will have enough sugar but she isn't quite sure. She knows that her full 2 pound bag of sugar says it contains 4 and 1/2 cups of sugar. Determine the exact difference between the amount of sugar Emma has and the amount of sugar she needs for the recipes.) Emma's mom brought home another 2 pound bag of sugar (4 and 1/2 cups) and wants to make fudge to take to work. Her mom will need 2 and 1/6 cups of sugar. Write a numerical expression that could be used to determine exactly how much sugar will be left over from the two bags of sugar after Emma bakes cookies and her mom makes fudge