24 students forget their pencil out of 120 students.
Answer:
8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)
9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.
10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)
Step-by-step explanation:
For a couple of these, it is helpful to remember that (a-b) = -(b-a).
<h3>8d.</h3>

___
<h3>9b.</h3>

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<h3>10b.</h3>

Neither solution makes any denominator be zero, so both are good solutions.
Answer:
CD ≈ 15.0
Step-by-step explanation:
calculate CD using the distance formula
d = 
with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)
CD = 
= 
= 
= 
= 
≈ 15.0 ( to the nearest tenth )
Answer:
Option C is correct
Step-by-step explanation:
The common difference is 10,
So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14
The recursive function for the arithmetic sequence is given by:
.....[1]
where d is the common difference of the two consecutive terms.
Given the arithmetic sequence :
14, 24, 34, 44, 54, .......
First term f(1) = 14
Common difference(d) = 10
Since,
24 -14 = 10
34-24 = 10
44-34 = 10 and so on....
Substitute d = 4 in [1], we have;
Therefore, the recursive function used to generate the sequence is,
and f(1) = 10