Answer:
15x² - 3x - 7
Step-by-step explanation:
(12x² + 2x) - (-3x²+ 5x + 7)
First open the parentheses by applying the distributive property.
To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.
Thus, you would have the following:
12x² + 2x + 3x² - 5x - 7
Add like terms
12x² + 3x² + 2x - 5x - 7
15x² - 3x - 7
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
Answer:
7/3
Step-by-step explanation:
Simplify the following:
(1 + 3/4) (1 + 1/3)
Hint: | Put the fractions in 1 + 1/3 over a common denominator.
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(1 + 3/4) 3/3 + 1/3
Hint: | Add the fractions over a common denominator to a single fraction.
3/3 + 1/3 = (3 + 1)/3:
(1 + 3/4) (3 + 1)/3
Hint: | Evaluate 3 + 1.
3 + 1 = 4:
(1 + 3/4)×4/3
Hint: | Put the fractions in 1 + 3/4 over a common denominator.
Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:
4/3 4/4 + 3/4
Hint: | Add the fractions over a common denominator to a single fraction.
4/4 + 3/4 = (4 + 3)/4:
4/3 (4 + 3)/4
Hint: | Evaluate 4 + 3.
4 + 3 = 7:
7/4×4/3
Hint: | Express 7/4×4/3 as a single fraction.
7/4×4/3 = (7×4)/(4×3):
(7×4)/(4×3)
Hint: | Cancel common terms in the numerator and denominator of (7×4)/(4×3).
(7×4)/(4×3) = 4/4×7/3 = 7/3:
Answer: 7/3
Factors of 28 are 2,4,7 and 28
factors of 49 are 7 and 49
so factor for both 28 and 49 will be 7
