The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable <em>n</em> to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
Answer:
21,500
Step-by-step explanation:
Final price of the Shoes
= sticker price - 30%(sticker price) - 10 - 4
= 60 - 30%(60) - 10 - 4
= 60 - 30/100(60) - 10 - 4
= 60 - 18 - 10 - 4
= (60) + (-18 -10 -4)
= 60 - 32
= 28
Therefore the pair of shoes costs $28.00.
Answer:
Step-by-step explanation:
(a+ b)² = a² + b² + 2ab
(2x + y)² = (2x)² + y² + 2*2x *y
= 4x² + y² + 4xy
(a- b)² = a² + b² - 2ab
(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y
= 9x² + 4y² - 12xy
(a - b)(a +b) = a² - b²
(x - 4y(x + 4y) = x² - (4y)²
= x² - 16y²
(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)
= 4x² + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²
= 4x² + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²
= 4x² - 9x² + x² + y² - 4y² - 16y²+ 4xy + 12xy
= -4x² - 19y² + 16xy
#9
7 / 1
-------
1 / 3
= 7 x 3
-----------
1 x 1
= 21
------
1
21 miles per gallon
# 11
2/3 / 1/4
= 2/3 * 4/1
=8/3