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3 years ago

15

On monday 254 students went on a trip to the zoo all 5 buses were filled 9 students had to travel in cars how many students were

in each bus ?

2 answers:

jolli1 [7]3 years ago

5 0

49 students in each bus

Nady [450]3 years ago

4 0

254-9=245 then you do 245/5 which is equal to 49.

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Which equation represents a proportional relationship between the x and y values?

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Answer:

D) $y=-2x$

Step-by-step explanation:

A linear relationship is of the form $y=mx+b$ , where, $m$ is the slope and $b$ is the y-intercept (constant).

For a proportional relationship, the value of $b=0$ and thus it is of the form $y=mx$

Let us check each option and express it in the form above.

Option A:

$y=2$

This can be written as $y=0x+2$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option B:

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Here, $b=1$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option C:

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Since, b \ne 0, therefore, it is not a proportional relationship.

Option D:

$y=-2x$

This can be rewritten as $y=-2x+0$

There is no y-intercept on this. So, $b=0$

Since, $b = 0$ , therefore, it is a proportional relationship.

Therefore, the correct option is D.

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ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

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