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3 years ago

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Jason has 144 feet of material to build a fence around the rectangular garden on his property. If the width of the fence fence m

ust be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material?

1 answer:

SIZIF [17.4K]3 years ago

6 0

Answer:

D

Step-by-step explanation:

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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,

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

Multiplying 100 on both sides,

$\rightarrow \frac{\text {john votes}}{\text {total votes}} \times 100=\frac{1}{5} \times 100$

The above expression is the formula used to calculate John vote percentage

Hence John votes percentage = 25%

6 0

3 years ago

If f(1) = 12 and f(4) = -3, find the average rate of change off from 1 to 4.

sergey [27]

Compute the difference quotient:

(<em>f</em> (4) - <em>f</em> (1)) / (4 - 1) = (-3 - 12) / 3 = -15/3 = -5

6 0

3 years ago

Suppose an account pays 2.5% interest that is compounded annually. At the beginning of each year, $10,000 is deposited into the

mart [117]

Answer:

The answer is 75,474

Step-by-step explanation:

6 0

2 years ago

Write in index form<br> 9 x 9 x 4 x 4 x 4 x 9 x 9 x 9

Mekhanik [1.2K]

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

6 0

3 years ago

Read 2 more answers

HELP PLZZ <br><br><br> Branlist of right answer

satela [25.4K]

Answer:

1/3

Step-by-step explanation:

There are 2 odd number and 1 even number.

Even chances: 1

Total chances: 3

Probability = 1/3

5 0

3 years ago