Change the problem statements into equations or inequalities as appropriate.
"<span>The perimeter of a rectangle is at most 200 feet. The length of the rectangle is five less than four times the width. What are the maximum dimensions of the rectangle?"
P = Perimeter (is less than or equal to) 200 feet)
length = 4(width) - 5
Your job is to figure out the maximum length and the width of this rectangle.
If </span>P = Perimeter (is less than or equal to) 200 feet), then this is a constraint on the length and width of the rectangle.
2(length) + 2(width) (is less than or equal to) 200 feet)
2(4(width) - 5) + 2(width) (is less than or equal to) 200 feet
Let the variable "w" represent the width. Divide both sides of this inequality by 2. Simplify, to obtain an inequality for w.
Answer:
if you have -3×-4=12
Step-by-step explanation:
the reason is that anytime you multiply numbers with negative signs you get a positive value.
In order for you to get a positive number, both numbers you are multiplying must be negative.
But if one of the numbers you are multiplying is a negative and the other number positive then you have a negative value as your answer.
e.g. 3×-4=-12.
Answer:
Greatest common factor of 17
So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
- (m - 1 )( 7m + 17 )
4900=4200(1+r/2)^(2*4)
Solve for r
R=(4900/4200)^(1/8))-1)*2
R=((4,900÷4,200)^(1÷8)−1)×2
R=0.039*100=3.9%
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation: