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eimsori [14]
3 years ago
9

A school district has a student population of $6,734 students. If the maximum class size is 25 students. How many more teacher m

ust the district have to supplement their staff of 217 teachers?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

53 teachers

Step-by-step explanation:

Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:

6,734 / 25 = 269.36

Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).

If we take 269 teachers and 25 students per class, we get:

269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.

That means that the number of teachers needed is 270.

It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.

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Compute each sum below. If applicable, write your answer as a fraction.
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Answer:

First equation is -425

Second equation is 11.25

Step-by-step explanation:

First equation we can write as

\sum_{i=0}^7 5 \times (-2)^i

computing

When i=0 -> 5 \times (-2)^0 =5

When i=1 -> 5 \times (-2)^1 = -10

...

When i=7 -> 5 \times (-2)^7 = --640

then replacing each term we have

5  + (-10) + ( 20) + ( -40) +  (80) +( -160) +   320 + (-640) = -425

For the second equation we'll have 9 terms, solving in a similar fashion

When i=1 -> \frac{1}{4}1=0.25

When i=2 -> \frac{1}{4}2=0.50

When i=3 -> \frac{1}{4}3=0.75

...

When i=9 -> \frac{1}{4}9=2.25

So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25

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4 years ago
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How much time is in 7:30 to 9:29
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –
7nadin3 [17]

Given:

The inequality is

-3(2x-5)

To find:

The correct representations of the given inequality.

Solution:

We have,

-3(2x-5)

Using distributive property, we get

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Therefore, the correct option is C.

Isolate variable terms.

15-10

5

It means, the value of x is greater than 5.

Since 5 is not included in the solution set, therefore, there is an open circle at 5.

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