Answer:
Step-by-step explanation:
In order to factor out the Greatest Common Factor of polynomials, we first have to find the factors of the given polynomials. There are various methods to do that. Now we will write the steps needed to factor out the Greatest Common Factor of polynomials:
a) Breaking down every term into prime factor form.
b) Then we have to look for factors that appear in every single term in order to get Greatest Common Factor of polynomials
c) Now the Greatest Common Factor is taken out or factored out from every term before parentheses and group the remaining expression inside the parentheses.
Answer:
The amount of reward that Sophia receives is 
Step-by-step explanation:
Let
x------> amount of reward that Sophia receives
y-----> amount of reward that Isabella receives
we know that
------> equation A
-----> equation B
Substitute equation A in equation B
Find the value of x
Answer:
12/(7-4) + 5 * 3 = 19
Step-by-step explanation:
Given
Untrue Expression: 12 ( 7 − 4 ) + 5 3 = 19
Signs: +−×÷
Required
Use the given signs to make the equation true.
To solve this, the trial and error method will be adopted.
The trial and error method involves trying series of sign combinations in the given expression; whichever works is the right answer.
So, after few attempts the following makes the equation true
12/(7-4) + 5 * 3 = 19
To check if it's true or not; we simply expand the expression on the left hand side. This gives
12/3 + 5 * 3 = 19
4 + 5 * 3 = 19
4 + 15 = 19
19 = 19.
Hence, the sign combinations used in 12/(7-4) + 5 * 3 = 19 is correct.
In order to find this, you will need to find the LCM of 8 and 6. This would be 24. For Bowls, 6*4 is 24 and cups 8*3 is 24.
So therefore
Bowls: 4 packs of 6
Cups: 3 packs of 8
