The total number of pencils is 2,160. When estimating to the nearest hundredth one gets 2,200, which is an underestimate.
The advantage of underestimating is that your answer is more accurate than an overestimate.
Answer:
a+3
Step-by-step explanation:
You cannot go any further in answering this question. These two terms are not like terms so they cannot be combined. Therefore, the answer is just a+3 itself.
No.
The sum of the areas of the two smaller squares is 5^2 + 3^2 = 34
The area of the larger square is 8^2=64
34 does not = 64
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
A = x² + xy + 2y - 1 → (1)
A + B = 2x² - xy - 4y - 1 → (2)
From (2)
B = 2x² - xy - 4y - 1 - A
= 2x² - xy - 4y - 1 - (x² + xy + 2y - 1) ← distribute parenthesis
= 2x² - xy - 4y - 1 - x² - xy - 2y + 1 ← collect like terms
= x² - 2xy - 6y
Hence
A - B = x² + xy + 2y - 1 - (x² - 2xy - 6y) ← distribute parenthesis
= x² + xy + 2y - 1 - x² + 2xy + 6y ← collect like terms
= 3xy + 8y - 1
(b)
Given A - B = x, then
x = 3xy + 8y - 1 ( add 1 to both sides )
x + 1 = 3xy + 8y ← factor out y from each term
x + 1 = y(3x + 8) ← divide both sides by (3x + 8)
y = 