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Aleks [24]
3 years ago
10

Niki scored a 78 on her first test and an 85 on her second. Niki forgot what she got on her third test bit she knows that her av

erage is an 85. What did she score on her third test? Write and sole an equation for this problem.
Mathematics
1 answer:
gregori [183]3 years ago
5 0
An average is written by the values / the amount of values.

We know there are 3 values, we know the numbers of 2, this can be modelled by the equation:

(78 + 85 + x)/3 = 85
We solve that ^:
(163+x)/3=85
163+x=255
x=92

The score on her 3rd test is 92

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NeX [460]

Answer:

letter C: 100

Step-by-step explanation:

This problem can be configured as an arithmetic progression:

The first value is 10, the ratio is also 10 (the multiples of ten are 20, 30, 40, ...) and the number of terms is 19 (10, 20, 30, ... , 180, 190 -> total of 19 numbers).

So, we can use the following formula to calculate the sum of all these numbers:

Sn = n(a1 + an) /2

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The result we want is the average of the sum, so we need to divide Sn by n:

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