Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years
To factor an expression, you need to find the GCF or Greatest Common Factor of all of the pieces of the expression.
The greatest common factor of 5x and -10 is 5. So, when we factor this, we divide both pieces of the expression by 5.
Your final answer is 5(x-2)
Answer:
The pitch (slope) of the roof is
or
Step-by-step explanation:
we know that
The formula to calculate the slope is equal to
where
In this problem we have
-----> is the vertical distance (rises)
-----> is the horizontal distance (run)
substitute the values
convert to percentage form
Answer:
Probability of rolling a 2 and flipping a head will be
Step-by-step explanation:
If we roll one die then probability to get any one side is 
Therefore, probability to get 2 by rolling the die will be P(A) = 
Now we flip a coin then getting head or tale probability is 
Or probability to get head by flipping the coin P(B) = 
Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by
P(A∩B) = P(A)×P(B)
= 
= 
Therefore, probability of rolling a 2 and flipping a head will be
Answer:
x = 41°, y = 139°
Step-by-step explanation:
The given parameters are;
Line <em>m</em> is parallel to line <em>n</em> and lines <em>m</em> and <em>n</em> have a common transversal
The corresponding angles formed by the common transversal to the two parallel lines are 41° on line <em>m</em> and <em>x°</em> on line <em>n</em>
Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal
x° and y° are linear pair angles and they are, supplementary
∴ x° + y° = 180°
∴ x° + y° = 41° + y° = 180°
y° = 180° - 41° = 139°
y° = 139°.