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vagabundo [1.1K]
3 years ago
15

An outdoor amphitheater has 100 seats in the front row and each subsequent row has 6 more seats than the previous row. how many

seats are in in the amphitheater if there are 23 rows?
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
If each row have 6 more seats than the previous, then there is a common difference of 6 seats. This, in turn, becomes an arithmetic progression, with a₁ being 100 and d being 6. Now, we want to know the total number of seats when n = 23, so we need to use the sum of an arithmetic progression form:

S_n = \frac{n}{2}(2a_1 + (n - 1)d)
S_{23} = \frac{23}{2}(2(100) + 22 \cdot 6)
S_{23} = \frac{23}{2}(200 + 132)
S_{23} = 3818

Hence, there are 3818 seats in the first 23 rows.
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Answer:

y=-\frac{5}{6} + 7

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

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6y=-5x+42

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

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3 years ago
Given a minimum usual value of 135.8 and a maximum usual value of 155.9, determine which (1 point) of the following values would
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Answer:  b. 134

Step-by-step explanation:

Given : A minimum usual value of 135.8 and a maximum usual value of 155.9.

Let x denotes a usual value.

i.e.  135.8< x < 155.9

Therefore , the interval for the usual values is [135.8, 155.9] .

If interval for any usual value is [135.8, 155.9] , then any value should lie in this otherwise we call it unusual.

Let's check all options

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c. 146  

since  135.8< 146 < 155.9

So , it is usual.

d. 155  

since 135.8< 1155 < 155.9

So , it is usual.

Hence, the correct answer is b. 134 .

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Hi there!

The answer is:

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3 years ago
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