4. A study found that the average time it took a person to find a new job was 5.9 months. If

1 answer:

4 0

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What is the slope of the line that passes (-11,2) and (-1, -13). Plz show your work.

ANEK [815]

Answer:

Slope = -3/2 or -1.5

Step-by-step explanation:

The Formula for slope is (The picture linked)

So, $\frac{-13-2}{-1-(-11)}$

Which is equal to... $\frac{-15}{10}$ when simplified

Which is equal to $\frac{-3}{2}$ or -1.5 which is the slope

7 0

3 years ago

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

andreev551 [17]

Percentage of the votes did John got overall is 25 %

<u>Solution:</u>

Given, Vivenne, John and nassim ran for 6th grade class president.

Vivenne got four votes for every 3 votes that John got.

Nassim got two votes for every vote that Vivenne got.

Now, ratio of vivenne votes to john votes = 4 : 3

a : b can be written in fraction as $\frac{a}{b}$

$\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}=\frac{4}{3} \rightarrow(1)$

Now, ratio of nassim votes to vivenne votes = 2 : 1

$\rightarrow \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{2}{1} \rightarrow(2)$

Now, multiply the above two fractions,

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}} \times \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{4}{3} \times \frac{2}{1}} \\\\ {\rightarrow \frac{\text {nassim votes}}{\text {john votes}}=\frac{8}{3} \rightarrow(3)}\end{array}$

Now, add (1) and (3),

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}+\frac{\text {nassim votes}}{\text {john votes}}=\frac{4}{3}+\frac{\mathrm{s}}{3}} \\\\ {\rightarrow \frac{\text {vivenne votes+nassim votes}}{\text {john votes}}=\frac{4+8}{3}}\end{array}$

We know that total votes = vivenne votes+nassim votes+john votes

Hence substitute "vivenne votes+nassim votes = total votes - john votes "

Hence we get,

$\begin{array}{l}{\rightarrow \frac{\text {total votes}-\text {john votes}}{\text {john votes}}=\frac{12}{3}} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-\frac{\text {john votes}}{\text {john votes}}=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-1=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}=5} \\\\ {\rightarrow \frac{\text {john votes}}{\text {total votes}}=\frac{1}{5}}\end{array}$