14 = 31.7 - 3x
-17.7 = -3x
x = 5.9
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)
4*8 = denominator for both numbers.
8*1 = numerator for the first number
4*1 = numerator for the second number.
This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.
I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can! :)
You can divide it and see what you get for it
Answer:
Step-by-step explanation:
Which number is missing from the prime factorization of 528? 2 x 2 x 2 x 2 x ____ x 11 A. 2 B. 3 C. 5 D. 7
