Answer: 6
Step-by-step explanation:
Let's use a rule of three here.
2 rooms in 1/3 h
x rooms in 1 h
Solve for x;
Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.
1/3 inverted is 3/1 or 3
First Method (Distributive Property)
(2m - 5m) (-5)
Rearrange the equation to make it easier.
(-5) (2m - 5m)
In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).
-10m + 25m
15m
Second Method
(2m - 5m) (-5)
Since 2m and 5m have the same variable, we can subtract them.
(-3m) (-5)
Multiply.
15m
15m is your answer. I hope this helps!
Answer:
P=l+w
Step-by-step explanation:
Solve for P by simplifying both sides of the equation, then isolating the variable.
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.
Consider the given pair of the numbers to identify which pair is relatively prime.
1. Consider 42 and 77
7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.
2. Consider 34 and 55
Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.
3. Consider 45 and 102
3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.
4. Consider 99 and 123
3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.
Therefore, Option B is the correct answer.
