Answer:
108
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 16 - 12 = 4, thus
= 12 + (24 × 4) = 12 + 96 = 108
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2 answers:
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multiply both sides by the reciprocal
x = 85⅓
We would expect her to make about 85 business calls in a month.
Step-by-step explanation:
The equation means "3/8 of the unknown total is 32"
When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.
8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.
.
I hope I read this question correctly. The coding for the fraction made it a bit confusing.
Answer:
3.5 (meters per second)
Step-by-step explanation:
To calculate the slope, we need two points. Let's see if we can select two points from the graph.
From the graph, we can pick out two possible points.
At the beginning, (0,2.5) is a valid candidate.
And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.
The slope formula is:
Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:
Simplify:
Thus, the slope is 3.5 meters per second.
Further notes:
And the entire equation will be: