The mathematical expression for the given statement is 50 + 10x
<h3>How to write a mathematical expression for this statement?</h3>
The given parameters are:
Initial distance = 50 laps
Rate of increment = 10 laps each week
Represent the number of weeks with x
So, we have:
Number of laps = Initial distance + Rate of increment * Number of weeks
This gives
Number of laps = 50 + 10 * x
Evaluate
Number of laps = 50 + 10x
Hence, the mathematical expression for the given statement is 50 + 10x
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20 dogs are at the shelter.
Answer:
C. 4
Step-by-step explanation:
All other answer choices involve the variable 'b' and/or are tied to it in some way. The sole number 4 has no connection to the variable b, therefore it is C. 4.
The answer is 16 and 26. Both are less than 30 and greater than 10 and have 6 in the one’s place.
Answer:
p = 2
n = 14
m = 3
Step-by-step explanation:
In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.
We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.
We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)
So the LCD we need is the product: 2*x which we write as 2x.
Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): 
Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

Now that both fractions are written showing the same denominator , we can combine them as indicated:

This expression gives as then the values for the requested coefficients.
p = 2
n = 14
m = 3